The 51 references with contexts in paper G. Kuvyrkin N., V. Zarubin S., В. Зарубин С., Г. Кувыркин Н. (2016) “Оценки упругих свойств композита с анизотропными шаровыми включениями // Estimating of the Elastic Properties of the Composite with Anisotropic Ball Inclusions” / spz:neicon:technomag:y:2014:i:8:p:237-255

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Eshelby J.D. The continuum theory of lattice defects. In: Seitz F., Turnbull D., eds.Progress in Solid State Physics. Vol. 3. New York, Academic Press, 1956, pp. 79{144. (Russ. ed.: Eshelby J.D.Kontinual'naia teoriia dislokatsii. Moscow, Inostrannaia literatura Publ., 1963. 248 p.).
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    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‡ÌËÁÓÚÓÔÌ ̊ ̄‡Ó‚ ̊ ‚ÍÎ ̨ ̃ÂÌˡ; ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË. ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ
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    . ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ

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    ÚÓÓ„Ó ÌÂ‡‚ÂÌÒÚ‚‡ (8) | ÌËÊÌ ̨ ̨ ÓˆÂÌÍÛ ̋ÚÓ„Ó ÏÓ‰ÛΡ G−= 1 2 ( S•imim− S•iimm 3 ) CV 5 + 1−CV G◦ 6G.(11) —ΉÛÂÚ ÓÚÏÂÚËÚ ̧, ̃ÚÓ ÔË Á̇ ̃ËÚÂÎ ̧ÌÓÏ ‡ÁÎË ̃ËË ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ χÚˈ ̊ Ë ‚ÍÎ ̨ ̃ÂÌËÈ ÔÓÎÛ ̃ÂÌÌ ̊ ‰‚ÛÒÚÓÓÌÌË ӈÂÌÍË ÏÓ„ÛÚ Ó͇Á‡Ú ̧Òˇ ‰Ó‚ÓÎ ̧ÌÓ „Û· ̊ÏË. Œ‰ËÌ ËÁ ÔÓ‰ıÓ‰Ó‚, ÔÓÁ‚ÓΡ ̨ ̆ËÈ ÛÚÓ ̃ÌËÚ ̧ ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË ‡ÒÒχÚË‚‡ÂÏÓ„Ó ÍÓÏÔÓÁËÚ‡, ÓÒÌÓ‚‡Ì ̇ ÏÂÚӉ ҇ÏÓÒӄ·ÒÓ‚‡Ìˡ
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    . 3. ÃÂÚÓ‰ Ò‡ÏÓÒӄ·ÒÓ‚‡Ìˡ ŒÒÓ·ÂÌÌÓÒÚ ̧ ÔÓÒÚÓÂÌˡ ÓˆÂÌÍË ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ Ò ̄‡Ó‚ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË ÏÂÚÓ‰ÓÏ Ò‡ÏÓÒӄ·ÒÓ‚‡Ìˡ ÒÓÒÚÓËÚ ‚ Û ̃ÂÚ ‚Á‡ËÏÓ‰ÂÈÒڂˡ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÓ„Ó ̋ÎÂÏÂÌÚ‡ ÌÂÓ‰ÌÓÓ‰ÌÓÒÚË (‚ÍÎ ̨ ̃ÂÌˡ ËÎË ̃‡ÒÚˈ ̊ χÚˈ ̊) Ò Ó‰ÌÓÓ‰ÌÓÈ ËÁÓÚÓÔÌÓÈ Ò‰ÓÈ, ËÏ ̨ ̆ÂÈ ÓˆÂÌË‚‡ÂÏ ̊ ÏÓ‰ÛÎË ÛÔÛ„ÓÒÚË [1]. œÓÒÎÂ‰Û ̨ ̆ ÓÒ‰ÌÂÌË ÔÓ Ó· ̇ÂÏÛ ÍÓÏÔÓÁËÚ‡ ‚ÓÁÏÛ ̆ÂÌËÈ ‡ÒÔ‰ÂÎÂ

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    ÃÂÚÓ‰ Ò‡ÏÓÒӄ·ÒÓ‚‡Ìˡ ŒÒÓ·ÂÌÌÓÒÚ ̧ ÔÓÒÚÓÂÌˡ ÓˆÂÌÍË ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ Ò ̄‡Ó‚ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË ÏÂÚÓ‰ÓÏ Ò‡ÏÓÒӄ·ÒÓ‚‡Ìˡ ÒÓÒÚÓËÚ ‚ Û ̃ÂÚ ‚Á‡ËÏÓ‰ÂÈÒڂˡ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÓ„Ó ̋ÎÂÏÂÌÚ‡ ÌÂÓ‰ÌÓÓ‰ÌÓÒÚË (‚ÍÎ ̨ ̃ÂÌˡ ËÎË ̃‡ÒÚˈ ̊ χÚˈ ̊) Ò Ó‰ÌÓÓ‰ÌÓÈ ËÁÓÚÓÔÌÓÈ Ò‰ÓÈ, ËÏ ̨ ̆ÂÈ ÓˆÂÌË‚‡ÂÏ ̊ ÏÓ‰ÛÎË ÛÔÛ„ÓÒÚË
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    . œÓÒÎÂ‰Û ̨ ̆ ÓÒ‰ÌÂÌË ÔÓ Ó· ̇ÂÏÛ ÍÓÏÔÓÁËÚ‡ ‚ÓÁÏÛ ̆ÂÌËÈ ‡ÒÔ‰ÂÎÂÌˡ Ô‡‡ÏÂÚÓ‚ ‚ ̋ÚËı ̋ÎÂÏÂÌÚ‡ı ÔÓÁ‚ÓΡÂÚ ÔÓÎÛ ̃ËÚ ̧ ‡Ò ̃ÂÚÌ ̊ Á‡‚ËÒËÏÓÒÚË ‰Îˇ ËÒÍÓÏ ̊ı ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡. —̇ ̃‡Î‡ ‡ÒÒÏÓÚËÏ ÛÔÛ„Ó ‚Á‡ËÏÓ‰ÂÈÒÚ‚Ë ËÁÓÚÓÔÌÓ„Ó ̄‡Ó‚Ó„Ó ‚ÍÎ ̨ ̃ÂÌˡ Ò Á‡ÌËχ ̨ ̆ÂÈ ÌÂÓ„‡ÌË ̃ÂÌÌÛ ̨ ӷ·ÒÚ ̧ ÓÍÛʇ ̨ ̆ÂÈ Ò‰ÓÈ ËÁ ÚÓ„Ó Ê ÎËÌÂÈÌÓ ÛÔÛ„Ó„Ó Ï‡ÚÂˇ· Ò ÚÂÌÁÓÓÏ̂CÍÓ ̋ÙÙˈËÂÌÚÓ‚ ÛÔ

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Hashin Z. Theory of mechanical behaviour of heterogeneous media.Appl. Mech. Rev., 1964, vol. 17, no. 1, pp. 1-10.
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    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‡ÌËÁÓÚÓÔÌ ̊ ̄‡Ó‚ ̊ ‚ÍÎ ̨ ̃ÂÌˡ; ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË. ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ
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    . ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ

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Hill R. A self-consistent mechanics of composite materials.J. Mech. Phys. Solids, 1965, vol. 13, no. 4, pp. 213{222.
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    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‡ÌËÁÓÚÓÔÌ ̊ ̄‡Ó‚ ̊ ‚ÍÎ ̨ ̃ÂÌˡ; ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË. ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ
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    . ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ

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    ÚÓÓ„Ó ÌÂ‡‚ÂÌÒÚ‚‡ (8) | ÌËÊÌ ̨ ̨ ÓˆÂÌÍÛ ̋ÚÓ„Ó ÏÓ‰ÛΡ G−= 1 2 ( S•imim− S•iimm 3 ) CV 5 + 1−CV G◦ 6G.(11) —ΉÛÂÚ ÓÚÏÂÚËÚ ̧, ̃ÚÓ ÔË Á̇ ̃ËÚÂÎ ̧ÌÓÏ ‡ÁÎË ̃ËË ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ χÚˈ ̊ Ë ‚ÍÎ ̨ ̃ÂÌËÈ ÔÓÎÛ ̃ÂÌÌ ̊ ‰‚ÛÒÚÓÓÌÌË ӈÂÌÍË ÏÓ„ÛÚ Ó͇Á‡Ú ̧Òˇ ‰Ó‚ÓÎ ̧ÌÓ „Û· ̊ÏË. Œ‰ËÌ ËÁ ÔÓ‰ıÓ‰Ó‚, ÔÓÁ‚ÓΡ ̨ ̆ËÈ ÛÚÓ ̃ÌËÚ ̧ ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË ‡ÒÒχÚË‚‡ÂÏÓ„Ó ÍÓÏÔÓÁËÚ‡, ÓÒÌÓ‚‡Ì ̇ ÏÂÚӉ ҇ÏÓÒӄ·ÒÓ‚‡Ìˡ
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    . 3. ÃÂÚÓ‰ Ò‡ÏÓÒӄ·ÒÓ‚‡Ìˡ ŒÒÓ·ÂÌÌÓÒÚ ̧ ÔÓÒÚÓÂÌˡ ÓˆÂÌÍË ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ Ò ̄‡Ó‚ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË ÏÂÚÓ‰ÓÏ Ò‡ÏÓÒӄ·ÒÓ‚‡Ìˡ ÒÓÒÚÓËÚ ‚ Û ̃ÂÚ ‚Á‡ËÏÓ‰ÂÈÒڂˡ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÓ„Ó ̋ÎÂÏÂÌÚ‡ ÌÂÓ‰ÌÓÓ‰ÌÓÒÚË (‚ÍÎ ̨ ̃ÂÌˡ ËÎË ̃‡ÒÚˈ ̊ χÚˈ ̊) Ò Ó‰ÌÓÓ‰ÌÓÈ ËÁÓÚÓÔÌÓÈ Ò‰ÓÈ, ËÏ ̨ ̆ÂÈ ÓˆÂÌË‚‡ÂÏ ̊ ÏÓ‰ÛÎË ÛÔÛ„ÓÒÚË [1]. œÓÒÎÂ‰Û ̨ ̆ ÓÒ‰ÌÂÌË ÔÓ Ó· ̇ÂÏÛ ÍÓÏÔÓÁËÚ‡ ‚ÓÁÏÛ ̆ÂÌËÈ ‡ÒÔ‰ÂÎÂ

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Khoroshun L.P. On the method of determining the elastic modulus of reinforced bodies. Mekhanika polimerov, 1968, no. 1, pp. 78{87. (in Russian)
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    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‡ÌËÁÓÚÓÔÌ ̊ ̄‡Ó‚ ̊ ‚ÍÎ ̨ ̃ÂÌˡ; ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË. ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ
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    . ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ

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Yeh R.H.T. Variational principles of the elastic moduli of composite materials.J. Appl. Phys., 1970, vol. 41, no. 8, pp. 3353-3356. DOI:10.1063/1.1659424
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    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‡ÌËÁÓÚÓÔÌ ̊ ̄‡Ó‚ ̊ ‚ÍÎ ̨ ̃ÂÌˡ; ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË. ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ
    Exact
    [1,2,3,4,5,6,7,8,9]
    Suffix
    . ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ

6
Shermergor T.D.Teoriia uprugosti mikroneodnorodnykh sred[Theory of elasticity of microinhomogeneous media]. Moscow, Nauka Publ., 1977. 400 p. (in Russian).
Total in-text references: 6
  1. In-text reference with the coordinate start=1536
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    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‡ÌËÁÓÚÓÔÌ ̊ ̄‡Ó‚ ̊ ‚ÍÎ ̨ ̃ÂÌˡ; ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË. ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ
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    [1,2,3,4,5,6,7,8,9]
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    . ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ

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    ◊ÂÂÁ ̋ÚË ÏÓ‰ÛÎË ÏÓÊÌÓ ‚ ̊‡ÁËÚ ̧ ÔÓ‰ÓÎ ̧Ì ̊È ÏÓ‰ÛÎ ̧ ÛÔÛ„ÓÒÚË (ÏÓ‰ÛÎ ̧ fiÌ„‡) E= 9KG 3K+G Ë ÍÓ ̋ÙÙˈËÂÌÚ œÛ‡ÒÒÓ̇ν= 1 2 − 3G 6K+ 2G ÍÓÏÔÓÁËÚ‡ [48]. 1. ŒÒÌÓ‚Ì ̊ ÒÓÓÚÌÓ ̄ÂÌˡ ”ÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË ËÁÓÚÓÔÌ ̊ı ÍÓÏÔÓÁËÚ‡ ‚ ˆÂÎÓÏ Ë Â„Ó Ï‡Úˈ ̊ ÏÓÊÌÓ Ô‰ÒÚ‡‚ËÚ ̧ ‚ Ó‰Ë̇ÍÓ‚ÓÈ ÚÂÌÁÓÌÓÈ ÙÓÏÂ
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    [6]
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    (̇ ÔËÏÂ ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡) Ĉ= 3K̂V+ 2ĜD,̂S=1 3K V̂+1 2G D̂,(1) „‰Â̂CË̂S| ÚÂÌÁÓ ̊ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡ ÍÓ ̋ÙÙˈËÂÌÚÓ‚ ÛÔÛ„ÓÒÚË Ë ÔÓ‰‡ÚÎË‚ÓÒÚË ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓ, ‡̂VË̂D| ÚÂÌÁÓ ̊ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡, ˇ‚Ρ ̨ ̆ËÂÒˇ ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓ Ó· ̇ÂÏÌÓÈ Ë ‰Â‚ˇÚÓÌÓÈ ÒÓÒÚ‡‚Ρ ̨ ̆ËÏË Â‰ËÌË ̃ÌÓ„Ó ÚÂÌÁÓ‡ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡̂I=̂V+̂D.

  3. In-text reference with the coordinate start=5480
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    ̧ ‰ËÌË ̃Ì ̊È ÚÂÌÁÓ ‚ÚÓÓ„Ó ‡Ì„‡ Ò ÍÓÏÔÓÌÂÌÚ‡ÏËδij,i, j= 1,2,3(δij= 1ÔË i=jËδij= 0ÔËi6=j), ÚÓ ÍÓÏÔÓÌÂÌÚ ̊ ̋ÚËı ÒÓÒÚ‡‚Ρ ̨ ̆Ëı ÔËÏÛÚ ‚ˉ Vijmn= δijδmn 3 , Dijmn=Iijmn−Vijmn, m, n= 1,2,3, „‰ÂIklmn= (δkmδln+δknδlm)/2| ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂I. — Û ̃ÂÚÓÏ ̋ÚËı ÙÓÏÛÎ, Ô‡‚Ë· ÒÛÏÏËÓ‚‡Ìˡ Ò·„‡ÂÏ ̊ı ÔÓ ÔÓ‚ÚÓˇ ̨ ̆ËÏÒˇ ‚ ÒÓÏÌÓÊËÚÂΡı ·ÚËÌÒÍËı Ë̉ÂÍÒ‡ı Ë ‡‚ÂÌÒÚ‚‡ δii= 3ÏÓÊÌÓ ÛÒÚ‡ÌÓ‚ËÚ ̧, ̃ÚÓ
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    [6]
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    VijmnVmnkl=Vijkl,DijmnDmnkl=DijklËVijmnDmnkl= 0, k, l= 1,2,3, Ú.Â. V̂··̂V=̂V,̂D··̂D=̂D,̂V··̂D=̂O4,(2) „‰Â̂O4| ÚÂÌÁÓ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡ Ò ÌÛ΂ ̊ÏË ÍÓÏÔÓÌÂÌÚ‡ÏË, ‡ ͇ʉ‡ˇ ËÁ ÚÓ ̃ÂÍ ÏÂÊ‰Û ÒÓÏÌÓÊËÚÂΡÏË ‚ ÔÓËÁ‚‰ÂÌËË ÚÂÌÁÓÓ‚ ÓÁ̇ ̃‡ÂÚ Ò‚ÂÚ ̊‚‡ÌË ÔÓ Ë̉ÂÍÒÛ, Ó‰Ë̇ÍÓ‚ÓÏÛ ‚ Ó·ÓËı ÒÓÏÌÓÊËÚÂΡı [49].

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    ÚÓÓ„Ó ÌÂ‡‚ÂÌÒÚ‚‡ (8) | ÌËÊÌ ̨ ̨ ÓˆÂÌÍÛ ̋ÚÓ„Ó ÏÓ‰ÛΡ G−= 1 2 ( S•imim− S•iimm 3 ) CV 5 + 1−CV G◦ 6G.(11) —ΉÛÂÚ ÓÚÏÂÚËÚ ̧, ̃ÚÓ ÔË Á̇ ̃ËÚÂÎ ̧ÌÓÏ ‡ÁÎË ̃ËË ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ χÚˈ ̊ Ë ‚ÍÎ ̨ ̃ÂÌËÈ ÔÓÎÛ ̃ÂÌÌ ̊ ‰‚ÛÒÚÓÓÌÌË ӈÂÌÍË ÏÓ„ÛÚ Ó͇Á‡Ú ̧Òˇ ‰Ó‚ÓÎ ̧ÌÓ „Û· ̊ÏË. Œ‰ËÌ ËÁ ÔÓ‰ıÓ‰Ó‚, ÔÓÁ‚ÓΡ ̨ ̆ËÈ ÛÚÓ ̃ÌËÚ ̧ ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË ‡ÒÒχÚË‚‡ÂÏÓ„Ó ÍÓÏÔÓÁËÚ‡, ÓÒÌÓ‚‡Ì ̇ ÏÂÚӉ ҇ÏÓÒӄ·ÒÓ‚‡Ìˡ
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    [1,3,6]
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    . 3. ÃÂÚÓ‰ Ò‡ÏÓÒӄ·ÒÓ‚‡Ìˡ ŒÒÓ·ÂÌÌÓÒÚ ̧ ÔÓÒÚÓÂÌˡ ÓˆÂÌÍË ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ Ò ̄‡Ó‚ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË ÏÂÚÓ‰ÓÏ Ò‡ÏÓÒӄ·ÒÓ‚‡Ìˡ ÒÓÒÚÓËÚ ‚ Û ̃ÂÚ ‚Á‡ËÏÓ‰ÂÈÒڂˡ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÓ„Ó ̋ÎÂÏÂÌÚ‡ ÌÂÓ‰ÌÓÓ‰ÌÓÒÚË (‚ÍÎ ̨ ̃ÂÌˡ ËÎË ̃‡ÒÚˈ ̊ χÚˈ ̊) Ò Ó‰ÌÓÓ‰ÌÓÈ ËÁÓÚÓÔÌÓÈ Ò‰ÓÈ, ËÏ ̨ ̆ÂÈ ÓˆÂÌË‚‡ÂÏ ̊ ÏÓ‰ÛÎË ÛÔÛ„ÓÒÚË [1]. œÓÒÎÂ‰Û ̨ ̆ ÓÒ‰ÌÂÌË ÔÓ Ó· ̇ÂÏÛ ÍÓÏÔÓÁËÚ‡ ‚ÓÁÏÛ ̆ÂÌËÈ ‡ÒÔ‰ÂÎÂ

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    ≈ÒÎË Ï ̊ÒÎÂÌÌÓ ËÁ‚Π̃ ̧ ‚ÍÎ ̨ ̃ÂÌË ËÁ ÓÍÛʇ ̨ ̆ÂÈ Ò‰ ̊ Ë ·ÂÁ ËÁÏÂÌÂÌˡ Â„Ó Ì‡ÔˇÊÂÌÌÓ„Ó ÒÓÒÚÓˇÌˡ ÒÓÁ‰‡Ú ̧ ‚ ÌÂÏ ‰ÓÔÓÎÌËÚÂÎ ̧ÌÛ ̨ ‰ÂÙÓχˆË ̨, ÓÔ‰ÂΡÂÏÛ ̨ ÚÂÌÁÓÓψe′′, ÚÓ ÔÓÒΠ‚ÓÁ‚‡ ̆ÂÌˡ ‚ÍÎ ̨ ̃ÂÌˡ ̇ ÔÂÊÌ ÏÂÒÚÓ Â„Ó ‰ÂÙÓÏËÓ‚‡ÌÌÓ ÒÓÒÚÓˇÌË ·Û‰ÂÚ ÓÔ‰ÂÎˇÚ ̧ ÒÛÏχ ÚÂÌÁÓÓ‚ˆe0+ˆe′, ÔË ̃Âψe′′=̂W··ˆe′, „‰Â
    Exact
    [6]
    Suffix
    Ŵ= 3(1−ν) 1 +ν V̂+15 2 1−ν 4−5ν D̂.(12) œË ̋ÚÓÏ Ì‡ÔˇÊÂÌÌÓ ÒÓÒÚÓˇÌË ‚ÍÎ ̨ ̃ÂÌˡ ·Û‰ÂÚ ı‡‡ÍÚÂËÁÓ‚‡Ú ̧ ÚÂÌÁÓ ˆs′=̂C··(ˆe0+ˆe◦−ˆe′′) =̂C··(ˆe0+ˆe◦)−̂C··̂W··ˆe′.(13) “ÂÔÂ ̧ Á‡ÏÂÌËÏ ̄‡Ó‚Ó ‚ÍÎ ̨ ̃ÂÌË ڇÍËÏ Ê ‚ÍÎ ̨ ̃ÂÌËÂÏ, ÌÓ Ò‚ÓÈÒÚ‚‡ ÍÓÚÓÓ„Ó ÓÔ‰ÂΡÂÚ ÚÂÌÁÓ̂C•ÍÓ ̋ÙÙˈËÂÌÚÓ‚ ÛÔÛ„ÓÒÚË ‡Π̧ÌÓ„Ó ‚ÍÎ ̨ ̃ÂÌˡ ‚ ‡ÒÒχÚË‚‡ÂÏÓÏ ÍÓÏÔÓÁËÚÂ. œË Ó‰Ë̇ÍÓ‚ÓÈ ‰ÂÙÓχˆËË ‚ ÔÂÊÌÂÏ Ë ÌÓ‚ÓÏ ‚ÍÎ ̨ ̃

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    — Û ̃ÂÚÓÏ ÙÓÏÛÎ (1), (2) Ë (12) Ë Á‡‚ËÒËÏÓÒÚËνÓÚKËĠȉÂÏ Ĉ··̂W∗=(3K+4G)̂V+5G3K+4G 3K+6G D̂,̂C··̂W∗−̂C=4ĜV+G9K+8G 3K+6G D̂. ŒÔÂ‡ˆËˇ ÓÒ‰ÌÂÌˡ ÚÂÌÁÓÓ‚ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡ ‡‚ÌÓÒËÎ ̧̇ ‚ ̊ ̃ËÒÎÂÌË ̨ Ëı ‰‚Ûı ÎËÌÂÈÌ ̊ı ËÌ‚‡ˇÌÚÓ‚ ÔÛÚÂÏ ÔÓÎÌÓÈ Ò‚ÂÚÍË Ò ÚÂÌÁÓ‡ÏË̂VË̂D
    Exact
    [6,49]
    Suffix
    . “Ó„‰‡ Ò Û ̃ÂÚÓÏ ÙÓÏÛÎ ̊ (1) ÔËÏÂÌËÚÂÎ ̧ÌÓ Í ËÁÓÚÓÔÌÓÈ Ï‡Úˈ ‡‚ÂÌÒÚ‚Ó (20) ·Û‰ÂÚ ̋Í‚Ë‚‡ÎÂÌÚÌÓ ÒËÒÚÂÏ ‰‚Ûı ‡Î„·‡Ë ̃ÂÒÍËı Û‡‚ÌÂÌËÈ            CV C•iimm/3 + 4G = 1 3K+ 4G − 1−CV 3K◦+ 4G , CV 6 ( C•imim−C•iimm/3 )K+ 2G 5 +G(9K+ 8G) = = 1 5G(3K+ 4G) − 1−CV 6G◦(K+ 2G) +G(9K+ 8G) , (21) ‰ÓÒÚ‡ÚÓ ̃Ì ̊ı ‰Îˇ ̇ıÓʉÂÌˡ ̋ÙÙÂÍÚË‚Ì ̊ı Á̇ ̃ÂÌËÈ Ó· ̇ÂÏÌÓ„Ó ÏÓ‰ÛΡKË ÏÓ‰ÛΡ Ò‰‚Ë„‡ G

7
Sendetski G., ed.Kompozitsionnye materialy. V 8 t. T. 2. Mekhanika kompozitsionnykh materialov[Composite Materials. In 8 vols. Vol. 2. Mechanics of Composite Materials]. Moscow, Mir Publ., 1978. 564 p. (Russian translation).
Total in-text references: 1
  1. In-text reference with the coordinate start=1536
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    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‡ÌËÁÓÚÓÔÌ ̊ ̄‡Ó‚ ̊ ‚ÍÎ ̨ ̃ÂÌˡ; ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË. ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ
    Exact
    [1,2,3,4,5,6,7,8,9]
    Suffix
    . ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ

8
Christensen R.M.Mechanics of composite materials. New York, Wiley-Interscience publication, 1979. 348 p. (Russ. ed.: Christensen R.M.Vvedenie v mekhaniku kompozitov. Moscow, Mir Publ., 1982. 336 p.).
Total in-text references: 1
  1. In-text reference with the coordinate start=1536
    Prefix
    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‡ÌËÁÓÚÓÔÌ ̊ ̄‡Ó‚ ̊ ‚ÍÎ ̨ ̃ÂÌˡ; ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË. ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ
    Exact
    [1,2,3,4,5,6,7,8,9]
    Suffix
    . ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ

9
Vanin G.A.Mikromekhanika kompozitsionnykh materialov[Micromechanics of composite materials]. Kiev, Naukova dumka Publ., 1985. 304 p. (in Russian).
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    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‡ÌËÁÓÚÓÔÌ ̊ ̄‡Ó‚ ̊ ‚ÍÎ ̨ ̃ÂÌˡ; ÛÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË. ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ
    Exact
    [1,2,3,4,5,6,7,8,9]
    Suffix
    . ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ

10
Aleshin V.I. Effective elastic properties of two-phase composites.Zhurnal tekhnicheskoi fiziki, 2007, vol. 77, iss. 9, pp. 54{60. (English translation:Technical Physics, 2007, vol. 52, iss. 9, pp. 1155{1162).
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    Prefix
    ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ [1,2,3,4,5,6,7,8,9]. ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ
    Exact
    [10,11,12,13,14,15,16,17,18]
    Suffix
    Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

11
Ustinov K.B., Goldstein R.V. On application of classical Eshelby approach to calculating effective elastic moduli of dispersed composites.Int. J. Fract., 2007, vol. 147, no. 1{4, pp. 55{ 66.
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    Prefix
    ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ [1,2,3,4,5,6,7,8,9]. ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ
    Exact
    [10,11,12,13,14,15,16,17,18]
    Suffix
    Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

12
Zheng Q.-S., Du D.-X. An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution.J. Mech. Phys. Solids, 2001, vol. 49, no. 11, pp. 2765{2788.
Total in-text references: 1
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    Prefix
    ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ [1,2,3,4,5,6,7,8,9]. ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ
    Exact
    [10,11,12,13,14,15,16,17,18]
    Suffix
    Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

13
Pan'kov A.A.Metody samosoglasovaniia mekhaniki kompozitov[Self-Consistent Methods for Composites]. Perm', PSTU Publ., 2008. 253 p. (in Russian).
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    Prefix
    ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ [1,2,3,4,5,6,7,8,9]. ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ
    Exact
    [10,11,12,13,14,15,16,17,18]
    Suffix
    Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

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Bol'shakov V.I., Andrianov I.V., Danishevskii V.V.Asimptoticheskie metody rascheta kompozitnykh materialov s uchetom vnutrennei struktury[Asymptotic methods for calculating the composite materials taking into account the internal structure]. Dnepropetrovsk, Porogi Publ., 2008. 247 p. (in Russian).
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    Prefix
    ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ [1,2,3,4,5,6,7,8,9]. ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ
    Exact
    [10,11,12,13,14,15,16,17,18]
    Suffix
    Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

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Dimitrienko Iu.I., Sokolov A.P. On elasticity properties of composite materials.Matematicheskoe modelirovanie, 2009, vol. 21, no. 4, pp. 96{110. (English translation:Mathematical Models and Computer Simulations, 2010, vol. 2, iss. 1, pp. 116{130.).
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    ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ [1,2,3,4,5,6,7,8,9]. ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ
    Exact
    [10,11,12,13,14,15,16,17,18]
    Suffix
    Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

16
Rogachev E.A., Zverev M.A., Surikov V.I. Forecasting of elastic properties of polymeric composite materials.Omskii nauchnyi vestnik. Ser. Pribory, mashiny i tekhnologii=Omsk Scientific Bulletin. Ser. Equipment, Machines and Technologies, 2010, no. 3 (93), pp. 28{31. (in Russian).
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    Prefix
    ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ [1,2,3,4,5,6,7,8,9]. ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ
    Exact
    [10,11,12,13,14,15,16,17,18]
    Suffix
    Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

17
Dimitrienko Iu.I., Sokolov A.P. Multiscale modeling of elastic composite materials. Matematicheskoe modelirovanie, 2012, vol. 24, no. 5, pp. 3{20. (in Russian).
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    ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ [1,2,3,4,5,6,7,8,9]. ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ
    Exact
    [10,11,12,13,14,15,16,17,18]
    Suffix
    Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

18
Abedini A., Chen Z.T. A micromechanical model of particle-reinforced metal matrix composites considering particle size and damage.Computational Materials Science, 2014, vol. 85, pp. 200-205. DOI:10.1016/j.commatsci.2014.01.012
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    ¬‚‰ÂÌË »Á‚ÂÒÚÌÓ ÌÂÒÍÓÎ ̧ÍÓ ÔÓ‰ıÓ‰Ó‚ Í ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡ ÔÓ ËÁ‚ÂÒÚÌ ̊Ï Ò‚ÓÈÒÚ‚‡Ï Â„Ó Ï‡Úˈ ̊ Ë ‡ÏËÛ ̨ ̆Ëı ‚ÍÎ ̨ ̃ÂÌËÈ ÔË Á‡‰‡ÌÌÓÈ Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ [1,2,3,4,5,6,7,8,9]. ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ
    Exact
    [10,11,12,13,14,15,16,17,18]
    Suffix
    Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

19
Baranovskii V.M., Temnikova S.V., Cherenkov A.V., Zeleneva T.P., Zelenev Y.V. Predicting the thermophysical properties of polymer composites using model representations.Plasticheskie Massy, 2004, no. 3, pp. 13{18. (English translation:International Polymer Science and Technology, 2004, vol. 31, no. 11, pp. 5{12.).
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    ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚
    Exact
    [19,20,21,22,23,24]
    Suffix
    , ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

20
Kalinin Yu.E., Remizov A.N., Sitnikov A.V. Electrical properties of amorphous (Co45Fe45Zr10)x(Al2O3)1−xnanocomposites.Fizika tverdogo tela, 2004, vol. 46, no. 11, pp. 2076{2082. (English translation:Physics of the Solid State, 2004, vol. 46, no. 11, pp. 2146{2152. DOI:10.1134/1.1825563).
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    ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚
    Exact
    [19,20,21,22,23,24]
    Suffix
    , ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

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Keith J.Ã., King J.A., Barton R.L. Electrical conductivity modeling of carbon-filled liquidcrystalline polymer.J. Appl. Polym. Sci., 2006, vol. 102, no. 4, pp. 3293{3300.
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    ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚
    Exact
    [19,20,21,22,23,24]
    Suffix
    , ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

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Vinogradov A.P.Elektrodinamika kompozitnykh materialov[Electrodynamics of composite materials]. Moscow, Editorial URSS Publ., 2001. 208 p. (in Russian).
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    ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚
    Exact
    [19,20,21,22,23,24]
    Suffix
    , ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

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Dominguez-Rodriguez G., Tapia A., Aviles F. An assessment of finite element analysis to predict the elastic modulus and Poisson's ratio of singlewall carbon nanotubes.Computational Materials Science, 2014, Vol. 82, pp. 257{263. DOI:10.1016/j.commatsci.2013.10.003
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    ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚
    Exact
    [19,20,21,22,23,24]
    Suffix
    , ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

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Pandey G., Biswas A. Estimating electrical conductivity of multi-scale composites with conductive nanoparticles using bidirectional time marching percolation network mapping.Computational Materials Science, 2014, vol. 89, pp. 80{88. DOI:10.1016/j.commatsci.2014.03.032
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    ›ÚË ÔÓ‰ıÓ‰ ̊ ‚ ÔÓÒΉÌ ‚ÂÏˇ ÔÓÎÛ ̃ËÎË ‡Á‚ËÚË ‚ ‡·ÓÚ‡ı ÓÚ ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚
    Exact
    [19,20,21,22,23,24]
    Suffix
    , ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚ [25,26,27].

25
Sokolkin Iu.V., Pan'kov A.A.Elektrouprugost' p'ezokompozitov s nereguliarnymi strukturami [Electroelasticity of piezocomposites with irregular structures]. Moscow, Nauka Publ., 2003. 180 p. (in Russian).
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    Prefix
    ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚
    Exact
    [25,26,27]
    Suffix
    . Õ‡ˇ‰Û Ò ÍÓÏÔÓÁËÚ‡ÏË, ‡ÏËÓ‚‡ÌÌ ̊ÏË ‚ÓÎÓÍÌËÒÚ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË, ̄ËÓÍÓ ËÒÔÓÎ ̧ÁÛ ̨Ú ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ ÍÓÏÔÓÁËÚ ̊, ‚ ÍÓÚÓ ̊ı ‚ ͇ ̃ÂÒÚ‚Â ‚ÍÎ ̨ ̃ÂÌËÈ ÔËÏÂÌˇ ̨Ú ̃‡ÒÚˈ ̊ ËÁ ‚ ̊ÒÓÍÓÔÓ ̃Ì ̊ı Ë ‚ ̊ÒÓÍÓÏÓ‰ÛÎ ̧Ì ̊ı χÚÂˇÎÓ‚, ‚ ÚÓÏ ̃ËÒΠ̇ÌÓÒÚÛÍÚÛÌ ̊ ̋ÎÂÏÂÌÚ ̊ [28,29,30,31].

26
Anglin B.S., Lebensohn R.A., Rollett A.D. Validation of a numerical method based on fast Fourier transforms for heterogeneous thermoelastic materials by comparison with analytical solutions.Computational Materials Science, 2014, vol. 87, pp. 209{217. DOI: 10.1016/j.commatsci.2014.02.027
Total in-text references: 1
  1. In-text reference with the coordinate start=2012
    Prefix
    ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚
    Exact
    [25,26,27]
    Suffix
    . Õ‡ˇ‰Û Ò ÍÓÏÔÓÁËÚ‡ÏË, ‡ÏËÓ‚‡ÌÌ ̊ÏË ‚ÓÎÓÍÌËÒÚ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË, ̄ËÓÍÓ ËÒÔÓÎ ̧ÁÛ ̨Ú ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ ÍÓÏÔÓÁËÚ ̊, ‚ ÍÓÚÓ ̊ı ‚ ͇ ̃ÂÒÚ‚Â ‚ÍÎ ̨ ̃ÂÌËÈ ÔËÏÂÌˇ ̨Ú ̃‡ÒÚˈ ̊ ËÁ ‚ ̊ÒÓÍÓÔÓ ̃Ì ̊ı Ë ‚ ̊ÒÓÍÓÏÓ‰ÛÎ ̧Ì ̊ı χÚÂˇÎÓ‚, ‚ ÚÓÏ ̃ËÒΠ̇ÌÓÒÚÛÍÚÛÌ ̊ ̋ÎÂÏÂÌÚ ̊ [28,29,30,31].

27
Lv J., Yang K., Zhang H., Yang D., Huang Y. A hierarchical multiscale approach for predicting thermo-electro-mechanical behavior of heterogeneous piezoelectric smart materials.Computational Materials Science, 2014, vol. 87, pp. 88{99. DOI:10.1016/j.commatsci.2014.01.059
Total in-text references: 1
  1. In-text reference with the coordinate start=2012
    Prefix
    ̃ÂÒÚ‚ÂÌÌ ̊ı Ë Á‡Û·ÂÊÌ ̊ı ËÒÒΉӂ‡ÚÂÎÂÈ [10,11,12,13,14,15,16,17,18] Ë · ̊ÎË ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ̇ ÏÂÚÓ‰ ̊ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÚÂÔÎÓÙËÁË ̃ÂÒÍËı Ë ̋ÎÂÍÚÓχ„ÌËÚÌ ̊ı Ò‚ÓÈÒÚ‚ χÚÂˇÎÓ‚ [19,20,21,22,23,24], ‡ Ú‡ÍÊ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ÔË ÓÔËÒ‡ÌËË Ôӂ‰ÂÌˡ χÚÂˇÎÓ‚ ÔË ÍÓÏ·ËÌËÓ‚‡ÌÌ ̊ı ‚ÓÁ‰ÂÈÒڂˡı (̇ÔËÏÂ, ÔË ÔÓÒÚÓÂÌËË Ï‡ÚÂχÚË ̃ÂÒÍËı ÏÓ‰ÂÎÂÈ ÚÂÏÓÛÔÛ„ÓÒÚË, ̋ÎÂÍÚÓ- Ë Ï‡„ÌËÚÓÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚÓ‚
    Exact
    [25,26,27]
    Suffix
    . Õ‡ˇ‰Û Ò ÍÓÏÔÓÁËÚ‡ÏË, ‡ÏËÓ‚‡ÌÌ ̊ÏË ‚ÓÎÓÍÌËÒÚ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË, ̄ËÓÍÓ ËÒÔÓÎ ̧ÁÛ ̨Ú ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ ÍÓÏÔÓÁËÚ ̊, ‚ ÍÓÚÓ ̊ı ‚ ͇ ̃ÂÒÚ‚Â ‚ÍÎ ̨ ̃ÂÌËÈ ÔËÏÂÌˇ ̨Ú ̃‡ÒÚˈ ̊ ËÁ ‚ ̊ÒÓÍÓÔÓ ̃Ì ̊ı Ë ‚ ̊ÒÓÍÓÏÓ‰ÛÎ ̧Ì ̊ı χÚÂˇÎÓ‚, ‚ ÚÓÏ ̃ËÒΠ̇ÌÓÒÚÛÍÚÛÌ ̊ ̋ÎÂÏÂÌÚ ̊ [28,29,30,31].

28
Golovin N.N., Zarubin V.S., Kuvyrkin G.N. Estimation of effective moduli of materials modified by fullerene.Kompozity i nanostruktury=Composites and Nanostructures, 2011, no. 4, pp. 21{31. (in Russian).
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    Prefix
    Õ‡ˇ‰Û Ò ÍÓÏÔÓÁËÚ‡ÏË, ‡ÏËÓ‚‡ÌÌ ̊ÏË ‚ÓÎÓÍÌËÒÚ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË, ̄ËÓÍÓ ËÒÔÓÎ ̧ÁÛ ̨Ú ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ ÍÓÏÔÓÁËÚ ̊, ‚ ÍÓÚÓ ̊ı ‚ ͇ ̃ÂÒÚ‚Â ‚ÍÎ ̨ ̃ÂÌËÈ ÔËÏÂÌˇ ̨Ú ̃‡ÒÚˈ ̊ ËÁ ‚ ̊ÒÓÍÓÔÓ ̃Ì ̊ı Ë ‚ ̊ÒÓÍÓÏÓ‰ÛÎ ̧Ì ̊ı χÚÂˇÎÓ‚, ‚ ÚÓÏ ̃ËÒΠ̇ÌÓÒÚÛÍÚÛÌ ̊ ̋ÎÂÏÂÌÚ ̊
    Exact
    [28,29,30,31]
    Suffix
    . ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÒÎÛ ̃‡Â‚ ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ËÏ ̨Ú ·ÎËÁÍË ‡ÁÏÂ ̊ ‚Ó ‚ÒÂı ̇Ô‡‚ÎÂÌˡı. œÓ ̋ÚÓÏÛ ÙÓÏÛ Ú‡ÍËı ̃‡ÒÚˈ ‚ ÔÂ‚ÓÏ ÔË·ÎËÊÂÌËË Ó· ̊ ̃ÌÓ ÔËÌËχ ̨Ú ̄‡Ó‚ÓÈ [32,33,34]. ÿËÓÍÓ ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ÍÓÏÔÓÁËÚ ̊, ̇Á ̊‚‡ÂÏ ̊ ÒÙÂÓÔ·ÒÚË͇ÏË [35], ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ÒÚÓ„Ó ̄‡Ó‚ÓÈ ÙÓÏ ̊.

29
Lur'e S.A., Mironov Yu.M., Nelyub V.A., Borodulin A.S., Chudnov I.V., Buyanov I.A., Solyaev Yu.O. Modeling of dependences of physical-mechanical properties on parameters of micro- and nanostructure polymer composite materials.Nauka i obrazovanie MGTU im. N.E. Baumana=Science and Education of the Bauman MSTU, 2012, no. 6, pp. 38{60. DOI: 10.7463/0612.0431339(in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=2297
    Prefix
    Õ‡ˇ‰Û Ò ÍÓÏÔÓÁËÚ‡ÏË, ‡ÏËÓ‚‡ÌÌ ̊ÏË ‚ÓÎÓÍÌËÒÚ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË, ̄ËÓÍÓ ËÒÔÓÎ ̧ÁÛ ̨Ú ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ ÍÓÏÔÓÁËÚ ̊, ‚ ÍÓÚÓ ̊ı ‚ ͇ ̃ÂÒÚ‚Â ‚ÍÎ ̨ ̃ÂÌËÈ ÔËÏÂÌˇ ̨Ú ̃‡ÒÚˈ ̊ ËÁ ‚ ̊ÒÓÍÓÔÓ ̃Ì ̊ı Ë ‚ ̊ÒÓÍÓÏÓ‰ÛÎ ̧Ì ̊ı χÚÂˇÎÓ‚, ‚ ÚÓÏ ̃ËÒΠ̇ÌÓÒÚÛÍÚÛÌ ̊ ̋ÎÂÏÂÌÚ ̊
    Exact
    [28,29,30,31]
    Suffix
    . ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÒÎÛ ̃‡Â‚ ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ËÏ ̨Ú ·ÎËÁÍË ‡ÁÏÂ ̊ ‚Ó ‚ÒÂı ̇Ô‡‚ÎÂÌˡı. œÓ ̋ÚÓÏÛ ÙÓÏÛ Ú‡ÍËı ̃‡ÒÚˈ ‚ ÔÂ‚ÓÏ ÔË·ÎËÊÂÌËË Ó· ̊ ̃ÌÓ ÔËÌËχ ̨Ú ̄‡Ó‚ÓÈ [32,33,34]. ÿËÓÍÓ ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ÍÓÏÔÓÁËÚ ̊, ̇Á ̊‚‡ÂÏ ̊ ÒÙÂÓÔ·ÒÚË͇ÏË [35], ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ÒÚÓ„Ó ̄‡Ó‚ÓÈ ÙÓÏ ̊.

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Lehmann ¬., Schlarb A.K., Friedrich K., Zhang M.Q., Rong M.Z. Modelling of mechanical properties of nanoparticle-filled polyethylene.Int. J. Polym. Mater., 2008, vol. 57, no. 1, pp. 81{ 100.
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    Prefix
    Õ‡ˇ‰Û Ò ÍÓÏÔÓÁËÚ‡ÏË, ‡ÏËÓ‚‡ÌÌ ̊ÏË ‚ÓÎÓÍÌËÒÚ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË, ̄ËÓÍÓ ËÒÔÓÎ ̧ÁÛ ̨Ú ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ ÍÓÏÔÓÁËÚ ̊, ‚ ÍÓÚÓ ̊ı ‚ ͇ ̃ÂÒÚ‚Â ‚ÍÎ ̨ ̃ÂÌËÈ ÔËÏÂÌˇ ̨Ú ̃‡ÒÚˈ ̊ ËÁ ‚ ̊ÒÓÍÓÔÓ ̃Ì ̊ı Ë ‚ ̊ÒÓÍÓÏÓ‰ÛÎ ̧Ì ̊ı χÚÂˇÎÓ‚, ‚ ÚÓÏ ̃ËÒΠ̇ÌÓÒÚÛÍÚÛÌ ̊ ̋ÎÂÏÂÌÚ ̊
    Exact
    [28,29,30,31]
    Suffix
    . ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÒÎÛ ̃‡Â‚ ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ËÏ ̨Ú ·ÎËÁÍË ‡ÁÏÂ ̊ ‚Ó ‚ÒÂı ̇Ô‡‚ÎÂÌˡı. œÓ ̋ÚÓÏÛ ÙÓÏÛ Ú‡ÍËı ̃‡ÒÚˈ ‚ ÔÂ‚ÓÏ ÔË·ÎËÊÂÌËË Ó· ̊ ̃ÌÓ ÔËÌËχ ̨Ú ̄‡Ó‚ÓÈ [32,33,34]. ÿËÓÍÓ ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ÍÓÏÔÓÁËÚ ̊, ̇Á ̊‚‡ÂÏ ̊ ÒÙÂÓÔ·ÒÚË͇ÏË [35], ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ÒÚÓ„Ó ̄‡Ó‚ÓÈ ÙÓÏ ̊.

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Ivanisenko Y., Darbandi A., Dasgupta S., Kruk R., Hahn H. Bulk Nanostructured Materials: Non-Mechanical Synthesis.Advanced Engineering Materials, 2010, vol. 12, no. 8, pp. 666{ 676. DOI:10.1002/adem.201000131
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    Õ‡ˇ‰Û Ò ÍÓÏÔÓÁËÚ‡ÏË, ‡ÏËÓ‚‡ÌÌ ̊ÏË ‚ÓÎÓÍÌËÒÚ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË, ̄ËÓÍÓ ËÒÔÓÎ ̧ÁÛ ̨Ú ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ ÍÓÏÔÓÁËÚ ̊, ‚ ÍÓÚÓ ̊ı ‚ ͇ ̃ÂÒÚ‚Â ‚ÍÎ ̨ ̃ÂÌËÈ ÔËÏÂÌˇ ̨Ú ̃‡ÒÚˈ ̊ ËÁ ‚ ̊ÒÓÍÓÔÓ ̃Ì ̊ı Ë ‚ ̊ÒÓÍÓÏÓ‰ÛÎ ̧Ì ̊ı χÚÂˇÎÓ‚, ‚ ÚÓÏ ̃ËÒΠ̇ÌÓÒÚÛÍÚÛÌ ̊ ̋ÎÂÏÂÌÚ ̊
    Exact
    [28,29,30,31]
    Suffix
    . ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÒÎÛ ̃‡Â‚ ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ËÏ ̨Ú ·ÎËÁÍË ‡ÁÏÂ ̊ ‚Ó ‚ÒÂı ̇Ô‡‚ÎÂÌˡı. œÓ ̋ÚÓÏÛ ÙÓÏÛ Ú‡ÍËı ̃‡ÒÚˈ ‚ ÔÂ‚ÓÏ ÔË·ÎËÊÂÌËË Ó· ̊ ̃ÌÓ ÔËÌËχ ̨Ú ̄‡Ó‚ÓÈ [32,33,34]. ÿËÓÍÓ ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ÍÓÏÔÓÁËÚ ̊, ̇Á ̊‚‡ÂÏ ̊ ÒÙÂÓÔ·ÒÚË͇ÏË [35], ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ÒÚÓ„Ó ̄‡Ó‚ÓÈ ÙÓÏ ̊.

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Lur'e S.A., Soliaev Iu.O. Modified Eshelby method in the problem of definition of effective properties with spherical micro- and nanoincludes.Vestnik PGTU. Mekhanika=PNRPU Mechanics Bulletin, 2010, no. 1, pp. 80{90. (in Russian).
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    Prefix
    , ̄ËÓÍÓ ËÒÔÓÎ ̧ÁÛ ̨Ú ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ ÍÓÏÔÓÁËÚ ̊, ‚ ÍÓÚÓ ̊ı ‚ ͇ ̃ÂÒÚ‚Â ‚ÍÎ ̨ ̃ÂÌËÈ ÔËÏÂÌˇ ̨Ú ̃‡ÒÚˈ ̊ ËÁ ‚ ̊ÒÓÍÓÔÓ ̃Ì ̊ı Ë ‚ ̊ÒÓÍÓÏÓ‰ÛÎ ̧Ì ̊ı χÚÂˇÎÓ‚, ‚ ÚÓÏ ̃ËÒΠ̇ÌÓÒÚÛÍÚÛÌ ̊ ̋ÎÂÏÂÌÚ ̊ [28,29,30,31]. ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÒÎÛ ̃‡Â‚ ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ËÏ ̨Ú ·ÎËÁÍË ‡ÁÏÂ ̊ ‚Ó ‚ÒÂı ̇Ô‡‚ÎÂÌˡı. œÓ ̋ÚÓÏÛ ÙÓÏÛ Ú‡ÍËı ̃‡ÒÚˈ ‚ ÔÂ‚ÓÏ ÔË·ÎËÊÂÌËË Ó· ̊ ̃ÌÓ ÔËÌËχ ̨Ú ̄‡Ó‚ÓÈ
    Exact
    [32,33,34]
    Suffix
    . ÿËÓÍÓ ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ÍÓÏÔÓÁËÚ ̊, ̇Á ̊‚‡ÂÏ ̊ ÒÙÂÓÔ·ÒÚË͇ÏË [35], ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ÒÚÓ„Ó ̄‡Ó‚ÓÈ ÙÓÏ ̊. ¬ ͇ ̃ÂÒÚ‚Â Ú‡ÍËı ̃‡ÒÚˈ ̇ıÓ‰ˇÚ ÔËÏÂÌÂÌË ÔÓÎ ̊ ÒÚÂÍÎÓÒÙÂ ̊ [36,37,38].

33
Zaitsev A.V., Fukalov A.A. Effective Bulk Modules of 3D Matrix-Inclusion Composites with Continuous and Hollow Anisotropic Spherical Particles.Vestnik PGTU. Mekhanika= PNRPU Mechanics Bulletin, 2010, no. 4, pp. 46{54. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=2528
    Prefix
    , ̄ËÓÍÓ ËÒÔÓÎ ̧ÁÛ ̨Ú ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ ÍÓÏÔÓÁËÚ ̊, ‚ ÍÓÚÓ ̊ı ‚ ͇ ̃ÂÒÚ‚Â ‚ÍÎ ̨ ̃ÂÌËÈ ÔËÏÂÌˇ ̨Ú ̃‡ÒÚˈ ̊ ËÁ ‚ ̊ÒÓÍÓÔÓ ̃Ì ̊ı Ë ‚ ̊ÒÓÍÓÏÓ‰ÛÎ ̧Ì ̊ı χÚÂˇÎÓ‚, ‚ ÚÓÏ ̃ËÒΠ̇ÌÓÒÚÛÍÚÛÌ ̊ ̋ÎÂÏÂÌÚ ̊ [28,29,30,31]. ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÒÎÛ ̃‡Â‚ ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ËÏ ̨Ú ·ÎËÁÍË ‡ÁÏÂ ̊ ‚Ó ‚ÒÂı ̇Ô‡‚ÎÂÌˡı. œÓ ̋ÚÓÏÛ ÙÓÏÛ Ú‡ÍËı ̃‡ÒÚˈ ‚ ÔÂ‚ÓÏ ÔË·ÎËÊÂÌËË Ó· ̊ ̃ÌÓ ÔËÌËχ ̨Ú ̄‡Ó‚ÓÈ
    Exact
    [32,33,34]
    Suffix
    . ÿËÓÍÓ ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ÍÓÏÔÓÁËÚ ̊, ̇Á ̊‚‡ÂÏ ̊ ÒÙÂÓÔ·ÒÚË͇ÏË [35], ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ÒÚÓ„Ó ̄‡Ó‚ÓÈ ÙÓÏ ̊. ¬ ͇ ̃ÂÒÚ‚Â Ú‡ÍËı ̃‡ÒÚˈ ̇ıÓ‰ˇÚ ÔËÏÂÌÂÌË ÔÓÎ ̊ ÒÚÂÍÎÓÒÙÂ ̊ [36,37,38].

34
Pruger S., Mehlhorn L., Muhlich U., Kuna M. Study of Reinforcing Mechanisms in TRIP-Matrix Composites under Compressive Loading by Means of Micromechanical Simulations.Advanced Engineering Materials, 2013, vol. 15, no. 7, pp. 542{549. DOI: 10.1002/adem.201200323
Total in-text references: 1
  1. In-text reference with the coordinate start=2528
    Prefix
    , ̄ËÓÍÓ ËÒÔÓÎ ̧ÁÛ ̨Ú ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ ÍÓÏÔÓÁËÚ ̊, ‚ ÍÓÚÓ ̊ı ‚ ͇ ̃ÂÒÚ‚Â ‚ÍÎ ̨ ̃ÂÌËÈ ÔËÏÂÌˇ ̨Ú ̃‡ÒÚˈ ̊ ËÁ ‚ ̊ÒÓÍÓÔÓ ̃Ì ̊ı Ë ‚ ̊ÒÓÍÓÏÓ‰ÛÎ ̧Ì ̊ı χÚÂˇÎÓ‚, ‚ ÚÓÏ ̃ËÒΠ̇ÌÓÒÚÛÍÚÛÌ ̊ ̋ÎÂÏÂÌÚ ̊ [28,29,30,31]. ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÒÎÛ ̃‡Â‚ ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ËÏ ̨Ú ·ÎËÁÍË ‡ÁÏÂ ̊ ‚Ó ‚ÒÂı ̇Ô‡‚ÎÂÌˡı. œÓ ̋ÚÓÏÛ ÙÓÏÛ Ú‡ÍËı ̃‡ÒÚˈ ‚ ÔÂ‚ÓÏ ÔË·ÎËÊÂÌËË Ó· ̊ ̃ÌÓ ÔËÌËχ ̨Ú ̄‡Ó‚ÓÈ
    Exact
    [32,33,34]
    Suffix
    . ÿËÓÍÓ ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ÍÓÏÔÓÁËÚ ̊, ̇Á ̊‚‡ÂÏ ̊ ÒÙÂÓÔ·ÒÚË͇ÏË [35], ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ÒÚÓ„Ó ̄‡Ó‚ÓÈ ÙÓÏ ̊. ¬ ͇ ̃ÂÒÚ‚Â Ú‡ÍËı ̃‡ÒÚˈ ̇ıÓ‰ˇÚ ÔËÏÂÌÂÌË ÔÓÎ ̊ ÒÚÂÍÎÓÒÙÂ ̊ [36,37,38].

35
Sokolov I.I., Dolmatovskii M.G. Spheroplasts.Polimernye materialy, 2005, no. 9, pp. 20{21. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=2605
    Prefix
    ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÒÎÛ ̃‡Â‚ ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ËÏ ̨Ú ·ÎËÁÍË ‡ÁÏÂ ̊ ‚Ó ‚ÒÂı ̇Ô‡‚ÎÂÌˡı. œÓ ̋ÚÓÏÛ ÙÓÏÛ Ú‡ÍËı ̃‡ÒÚˈ ‚ ÔÂ‚ÓÏ ÔË·ÎËÊÂÌËË Ó· ̊ ̃ÌÓ ÔËÌËχ ̨Ú ̄‡Ó‚ÓÈ [32,33,34]. ÿËÓÍÓ ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ÍÓÏÔÓÁËÚ ̊, ̇Á ̊‚‡ÂÏ ̊ ÒÙÂÓÔ·ÒÚË͇ÏË
    Exact
    [35]
    Suffix
    , ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ÒÚÓ„Ó ̄‡Ó‚ÓÈ ÙÓÏ ̊. ¬ ͇ ̃ÂÒÚ‚Â Ú‡ÍËı ̃‡ÒÚˈ ̇ıÓ‰ˇÚ ÔËÏÂÌÂÌË ÔÓÎ ̊ ÒÚÂÍÎÓÒÙÂ ̊ [36,37,38]. «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ

36
Sokolov I.I., Dolmatovskii M.G., Deev I.S., Stetsenko V.Ia. Influence of the physicomechanical characteristics of hollow glass microspheres on the properties of sphere-filled plastics.Plasticheskie massy, 2005, no. 7, pp. 16{18. (English translation:International Polymer Science and Technology, 2006, vol. 33, no. 3, pp. 31-35.).
Total in-text references: 1
  1. In-text reference with the coordinate start=2739
    Prefix
    ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÒÎÛ ̃‡Â‚ ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ËÏ ̨Ú ·ÎËÁÍË ‡ÁÏÂ ̊ ‚Ó ‚ÒÂı ̇Ô‡‚ÎÂÌˡı. œÓ ̋ÚÓÏÛ ÙÓÏÛ Ú‡ÍËı ̃‡ÒÚˈ ‚ ÔÂ‚ÓÏ ÔË·ÎËÊÂÌËË Ó· ̊ ̃ÌÓ ÔËÌËχ ̨Ú ̄‡Ó‚ÓÈ [32,33,34]. ÿËÓÍÓ ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ÍÓÏÔÓÁËÚ ̊, ̇Á ̊‚‡ÂÏ ̊ ÒÙÂÓÔ·ÒÚË͇ÏË [35], ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ÒÚÓ„Ó ̄‡Ó‚ÓÈ ÙÓÏ ̊. ¬ ͇ ̃ÂÒÚ‚Â Ú‡ÍËı ̃‡ÒÚˈ ̇ıÓ‰ˇÚ ÔËÏÂÌÂÌË ÔÓÎ ̊ ÒÚÂÍÎÓÒÙÂ ̊
    Exact
    [36,37,38]
    Suffix
    . «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ÔÓËÒÚ ̊ı ÏÂÚ‡ÎÎÓ‚, ÏÂÚ‡ÎÎÓÍÂ‡ÏËÍË, ÔÓÎËÏÂÓ‚ Ë ÒÚÓËÚÂÎ ̧Ì ̊ı χÚÂˇÎÓ‚ [39,40,41, 42,43,44,45,46], ÔÓÒÍÓÎ ̧ÍÛ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÛ ̨ ÔÓÛ ‰Ó

37
Weise1 J., Salk N., Jehring U., Baumeister J., Lehmhus D., Bayoumi M.A. Influence of Powder Size on Production Parameters and Properties of Syntactic Invar Foams Produced by Means of Metal Powder Injection Moulding.Advanced Engineering Materials, 2013, vol. 15, no. 3, pp. 118{122. DOI:10.1002/adem.201200129
Total in-text references: 1
  1. In-text reference with the coordinate start=2739
    Prefix
    ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÒÎÛ ̃‡Â‚ ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ËÏ ̨Ú ·ÎËÁÍË ‡ÁÏÂ ̊ ‚Ó ‚ÒÂı ̇Ô‡‚ÎÂÌˡı. œÓ ̋ÚÓÏÛ ÙÓÏÛ Ú‡ÍËı ̃‡ÒÚˈ ‚ ÔÂ‚ÓÏ ÔË·ÎËÊÂÌËË Ó· ̊ ̃ÌÓ ÔËÌËχ ̨Ú ̄‡Ó‚ÓÈ [32,33,34]. ÿËÓÍÓ ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ÍÓÏÔÓÁËÚ ̊, ̇Á ̊‚‡ÂÏ ̊ ÒÙÂÓÔ·ÒÚË͇ÏË [35], ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ÒÚÓ„Ó ̄‡Ó‚ÓÈ ÙÓÏ ̊. ¬ ͇ ̃ÂÒÚ‚Â Ú‡ÍËı ̃‡ÒÚˈ ̇ıÓ‰ˇÚ ÔËÏÂÌÂÌË ÔÓÎ ̊ ÒÚÂÍÎÓÒÙÂ ̊
    Exact
    [36,37,38]
    Suffix
    . «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ÔÓËÒÚ ̊ı ÏÂÚ‡ÎÎÓ‚, ÏÂÚ‡ÎÎÓÍÂ‡ÏËÍË, ÔÓÎËÏÂÓ‚ Ë ÒÚÓËÚÂÎ ̧Ì ̊ı χÚÂˇÎÓ‚ [39,40,41, 42,43,44,45,46], ÔÓÒÍÓÎ ̧ÍÛ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÛ ̨ ÔÓÛ ‰Ó

38
Cunha S., Aguiar J.B., Ferreira V.M., Tadeu A. Influence of the Type of Phase Change Materials Microcapsules on the Properties of Lime-Gypsum Thermal Mortars.Advanced Engineering Materials, 2014, vol. 16, no. 4, pp. 433{441. DOI:10.1002/adem.201300278
Total in-text references: 1
  1. In-text reference with the coordinate start=2739
    Prefix
    ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÒÎÛ ̃‡Â‚ ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ËÏ ̨Ú ·ÎËÁÍË ‡ÁÏÂ ̊ ‚Ó ‚ÒÂı ̇Ô‡‚ÎÂÌˡı. œÓ ̋ÚÓÏÛ ÙÓÏÛ Ú‡ÍËı ̃‡ÒÚˈ ‚ ÔÂ‚ÓÏ ÔË·ÎËÊÂÌËË Ó· ̊ ̃ÌÓ ÔËÌËχ ̨Ú ̄‡Ó‚ÓÈ [32,33,34]. ÿËÓÍÓ ‡ÒÔÓÒÚ‡ÌÂÌ ̊ ÍÓÏÔÓÁËÚ ̊, ̇Á ̊‚‡ÂÏ ̊ ÒÙÂÓÔ·ÒÚË͇ÏË [35], ÍÓÚÓ ̊ ÒÓ‰ÂÊ‡Ú ‰ËÒÔÂÒÌ ̊ ̃‡ÒÚˈ ̊ ÒÚÓ„Ó ̄‡Ó‚ÓÈ ÙÓÏ ̊. ¬ ͇ ̃ÂÒÚ‚Â Ú‡ÍËı ̃‡ÒÚˈ ̇ıÓ‰ˇÚ ÔËÏÂÌÂÌË ÔÓÎ ̊ ÒÚÂÍÎÓÒÙÂ ̊
    Exact
    [36,37,38]
    Suffix
    . «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ÔÓËÒÚ ̊ı ÏÂÚ‡ÎÎÓ‚, ÏÂÚ‡ÎÎÓÍÂ‡ÏËÍË, ÔÓÎËÏÂÓ‚ Ë ÒÚÓËÚÂÎ ̧Ì ̊ı χÚÂˇÎÓ‚ [39,40,41, 42,43,44,45,46], ÔÓÒÍÓÎ ̧ÍÛ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÛ ̨ ÔÓÛ ‰Ó

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Jin H.-J., Weissmuller J. Bulk Nanoporous Metal for Actuation.Advanced Engineering Materials, 2010, vol. 12, no. 8, pp. 714{723. DOI:10.1002/adem.200900329
Total in-text references: 1
  1. In-text reference with the coordinate start=3083
    Prefix
    «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ÔÓËÒÚ ̊ı ÏÂÚ‡ÎÎÓ‚, ÏÂÚ‡ÎÎÓÍÂ‡ÏËÍË, ÔÓÎËÏÂÓ‚ Ë ÒÚÓËÚÂÎ ̧Ì ̊ı χÚÂˇÎÓ‚
    Exact
    [39,40,41, 42,43,44,45,46]
    Suffix
    , ÔÓÒÍÓÎ ̧ÍÛ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÛ ̨ ÔÓÛ ‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ Í‡Í ‡·ÒÓÎ ̨ÚÌÓ ÔÓ‰‡ÚÎË‚Ó ‚ÍÎ ̨ ̃ÂÌËÂ. ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÓÔÛ·ÎËÍÓ‚‡ÌÌ ̊ı ‡·ÓÚ, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ı ËÒÒΉӂ‡ÌË ̨ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚, χÚˈ‡ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌˡ Ò ̃ËÚ‡ ̨Ú ËÁÓÚÓÔÌ ̊ÏË.

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Schmidt K., Becker J. Generating Validated 3D Models of Microporous Ceramics.Advanced Engineering Materials, 2013, vol. 15, no. 1{2, pp. 40{45. DOI:10.1002/adem.201200097
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    «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ÔÓËÒÚ ̊ı ÏÂÚ‡ÎÎÓ‚, ÏÂÚ‡ÎÎÓÍÂ‡ÏËÍË, ÔÓÎËÏÂÓ‚ Ë ÒÚÓËÚÂÎ ̧Ì ̊ı χÚÂˇÎÓ‚
    Exact
    [39,40,41, 42,43,44,45,46]
    Suffix
    , ÔÓÒÍÓÎ ̧ÍÛ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÛ ̨ ÔÓÛ ‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ Í‡Í ‡·ÒÓÎ ̨ÚÌÓ ÔÓ‰‡ÚÎË‚Ó ‚ÍÎ ̨ ̃ÂÌËÂ. ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÓÔÛ·ÎËÍÓ‚‡ÌÌ ̊ı ‡·ÓÚ, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ı ËÒÒΉӂ‡ÌË ̨ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚, χÚˈ‡ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌˡ Ò ̃ËÚ‡ ̨Ú ËÁÓÚÓÔÌ ̊ÏË.

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Giraud A., Sevostianov I. Micromechanical modeling of the effective elastic properties of oolitic limestone.Int. J. Rock Mech. Min., 2013, vol. 62, pp. 23{27.
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    «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ÔÓËÒÚ ̊ı ÏÂÚ‡ÎÎÓ‚, ÏÂÚ‡ÎÎÓÍÂ‡ÏËÍË, ÔÓÎËÏÂÓ‚ Ë ÒÚÓËÚÂÎ ̧Ì ̊ı χÚÂˇÎÓ‚
    Exact
    [39,40,41, 42,43,44,45,46]
    Suffix
    , ÔÓÒÍÓÎ ̧ÍÛ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÛ ̨ ÔÓÛ ‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ Í‡Í ‡·ÒÓÎ ̨ÚÌÓ ÔÓ‰‡ÚÎË‚Ó ‚ÍÎ ̨ ̃ÂÌËÂ. ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÓÔÛ·ÎËÍÓ‚‡ÌÌ ̊ı ‡·ÓÚ, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ı ËÒÒΉӂ‡ÌË ̨ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚, χÚˈ‡ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌˡ Ò ̃ËÚ‡ ̨Ú ËÁÓÚÓÔÌ ̊ÏË.

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Cho Y. J., Wook Jin Lee W.J., Park S.K., Park Y.H. Effect of Pore Morphology on Deformation Behaviors in Porous Al by FEM Simulations.Advanced Engineering Materials, 2013, vol. 15, no. 3, pp. 166{169. DOI:10.1002/adem.201200145
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    «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ÔÓËÒÚ ̊ı ÏÂÚ‡ÎÎÓ‚, ÏÂÚ‡ÎÎÓÍÂ‡ÏËÍË, ÔÓÎËÏÂÓ‚ Ë ÒÚÓËÚÂÎ ̧Ì ̊ı χÚÂˇÎÓ‚
    Exact
    [39,40,41, 42,43,44,45,46]
    Suffix
    , ÔÓÒÍÓÎ ̧ÍÛ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÛ ̨ ÔÓÛ ‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ Í‡Í ‡·ÒÓÎ ̨ÚÌÓ ÔÓ‰‡ÚÎË‚Ó ‚ÍÎ ̨ ̃ÂÌËÂ. ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÓÔÛ·ÎËÍÓ‚‡ÌÌ ̊ı ‡·ÓÚ, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ı ËÒÒΉӂ‡ÌË ̨ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚, χÚˈ‡ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌˡ Ò ̃ËÚ‡ ̨Ú ËÁÓÚÓÔÌ ̊ÏË.

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Deqing W. Relation of Cell Uniformity and Mechanical Property of a Close Cell Aluminum Foam.Advanced Engineering Materials, 2013, vol. 15, no. 3, pp. 175{179. DOI: 10.1002/adem.201200135
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    «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ÔÓËÒÚ ̊ı ÏÂÚ‡ÎÎÓ‚, ÏÂÚ‡ÎÎÓÍÂ‡ÏËÍË, ÔÓÎËÏÂÓ‚ Ë ÒÚÓËÚÂÎ ̧Ì ̊ı χÚÂˇÎÓ‚
    Exact
    [39,40,41, 42,43,44,45,46]
    Suffix
    , ÔÓÒÍÓÎ ̧ÍÛ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÛ ̨ ÔÓÛ ‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ Í‡Í ‡·ÒÓÎ ̨ÚÌÓ ÔÓ‰‡ÚÎË‚Ó ‚ÍÎ ̨ ̃ÂÌËÂ. ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÓÔÛ·ÎËÍÓ‚‡ÌÌ ̊ı ‡·ÓÚ, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ı ËÒÒΉӂ‡ÌË ̨ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚, χÚˈ‡ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌˡ Ò ̃ËÚ‡ ̨Ú ËÁÓÚÓÔÌ ̊ÏË.

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Montero-Chac-on F., Marin-Montin J., Medina F. Mesomechanical characterization of porosity in cementitious composites by means of a voxel-based finite element model.Computational Materials Science, 2014, vol. 90. pp. 157{170. DOI:10.1016/j.commatsci.2014.03.066
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    «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ÔÓËÒÚ ̊ı ÏÂÚ‡ÎÎÓ‚, ÏÂÚ‡ÎÎÓÍÂ‡ÏËÍË, ÔÓÎËÏÂÓ‚ Ë ÒÚÓËÚÂÎ ̧Ì ̊ı χÚÂˇÎÓ‚
    Exact
    [39,40,41, 42,43,44,45,46]
    Suffix
    , ÔÓÒÍÓÎ ̧ÍÛ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÛ ̨ ÔÓÛ ‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ Í‡Í ‡·ÒÓÎ ̨ÚÌÓ ÔÓ‰‡ÚÎË‚Ó ‚ÍÎ ̨ ̃ÂÌËÂ. ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÓÔÛ·ÎËÍÓ‚‡ÌÌ ̊ı ‡·ÓÚ, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ı ËÒÒΉӂ‡ÌË ̨ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚, χÚˈ‡ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌˡ Ò ̃ËÚ‡ ̨Ú ËÁÓÚÓÔÌ ̊ÏË.

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Goehler H., Jehring U., Meinert J., Hauser R., Quadbeck P., Kuemmel K., Stephani G., Kieback B. Functionalized Metallic Hollow Sphere Structures.Advanced Engineering Materials, 2014, vol. 16, no. 3, pp. 335{339. DOI:10.1002/adem.201300057
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    «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ÔÓËÒÚ ̊ı ÏÂÚ‡ÎÎÓ‚, ÏÂÚ‡ÎÎÓÍÂ‡ÏËÍË, ÔÓÎËÏÂÓ‚ Ë ÒÚÓËÚÂÎ ̧Ì ̊ı χÚÂˇÎÓ‚
    Exact
    [39,40,41, 42,43,44,45,46]
    Suffix
    , ÔÓÒÍÓÎ ̧ÍÛ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÛ ̨ ÔÓÛ ‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ Í‡Í ‡·ÒÓÎ ̨ÚÌÓ ÔÓ‰‡ÚÎË‚Ó ‚ÍÎ ̨ ̃ÂÌËÂ. ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÓÔÛ·ÎËÍÓ‚‡ÌÌ ̊ı ‡·ÓÚ, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ı ËÒÒΉӂ‡ÌË ̨ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚, χÚˈ‡ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌˡ Ò ̃ËÚ‡ ̨Ú ËÁÓÚÓÔÌ ̊ÏË.

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Schumacher Th.C., Klein T.Y., Treccani L., Rezwan K. Rapid Sintering of Porous Monoliths Assembled from Microbeads with High Specific Surface Area and Multimodal Porosity.Advanced Engineering Materials, 2014, vol. 16, no. 2, pp. 151{155. DOI: 10.1002/adem.201300220
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    «Ì‡ ̃ËÚÂÎ ̧ÌÓ ̃ËÒÎÓ ÔÛ·ÎËÍÛÂÏ ̊ı ‡·ÓÚ ÔÓ ÓˆÂÌÍ ÛÔÛ„Ëı ı‡‡ÍÚÂËÒÚËÍ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚ ҂ˉÂÚÂÎ ̧ÒÚ‚ÛÂÚ Ó· ‡ÍÚۇΠ̧ÌÓÒÚË ËÒÒΉӂ‡ÌËÈ ‚ ‰‡ÌÌÓÏ Ì‡Ô‡‚ÎÂÌËË. ̋ÚÓÏÛ Ì‡Ô‡‚ÎÂÌË ̨ ÔËÏ ͇̊ ̨Ú Ë ‡·ÓÚ ̊, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ ӈÂÌÍ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ÔÓËÒÚ ̊ı ÏÂÚ‡ÎÎÓ‚, ÏÂÚ‡ÎÎÓÍÂ‡ÏËÍË, ÔÓÎËÏÂÓ‚ Ë ÒÚÓËÚÂÎ ̧Ì ̊ı χÚÂˇÎÓ‚
    Exact
    [39,40,41, 42,43,44,45,46]
    Suffix
    , ÔÓÒÍÓÎ ̧ÍÛ ÓÚ‰ÂÎ ̧ÌÓ ‚ÁˇÚÛ ̨ ÔÓÛ ‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ Í‡Í ‡·ÒÓÎ ̨ÚÌÓ ÔÓ‰‡ÚÎË‚Ó ‚ÍÎ ̨ ̃ÂÌËÂ. ¬ ·ÓÎ ̧ ̄ËÌÒÚ‚Â ÓÔÛ·ÎËÍÓ‚‡ÌÌ ̊ı ‡·ÓÚ, ÔÓÒ‚ˇ ̆ÂÌÌ ̊ı ËÒÒΉӂ‡ÌË ̨ ÛÔÛ„Ëı Ò‚ÓÈÒÚ‚ ‰ËÒÔÂÒÌÓ ÛÔÓ ̃ÌÂÌÌ ̊ı ÍÓÏÔÓÁËÚÓ‚, χÚˈ‡ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌˡ Ò ̃ËÚ‡ ̨Ú ËÁÓÚÓÔÌ ̊ÏË.

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Shaskol'skaia M.S.Kristallografiia[Crystallography]. Moscow, Vysshaia shkola Publ., 1976. 392 p. (in Russian).
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    Prefix
    ≈ÒÎË ‚Ò ‚ÍÎ ̨ ̃ÂÌˡ Ó‰Ë̇ÍÓ‚Ó„Ó ‡ÁÏÂ‡, ÚÓ ÔË Ëı ̇˷ÓΠÔÎÓÚÌÓÈ ÛÔ‡ÍÓ‚ÍÂ, ÍÓ„‰‡ ‚ ͇ʉÓÏ ÒÎÓ ˆÂÌÚ ̊ ÍÓÌÚ‡ÍÚËÛ ̨ ̆Ëı ÏÂÊ‰Û ÒÓ·ÓÈ ̄‡Ó‚ ̇ıÓ‰ˇÚÒˇ ‚ ‚Â ̄Ë̇ı Ô‡‚ËÎ ̧Ì ̊ı ÚÂÛ„ÓÎ ̧ÌËÍÓ‚, Ó· ̇ÂÏ̇ˇ ÍÓ̈ÂÌÚ‡ˆËˇCV ̄‡Ó‚ ̊ı ‚ÍÎ ̨ ̃ÂÌËÈ ÔËÌËχÂÚ Ì‡Ë·ÓÎ ̧ ̄ Á̇ ̃ÂÌËÂC◦V=π/(3 √ 2)≈0,7405
    Exact
    [47]
    Suffix
    . ≈ÒÎË ÌÂ Û ̃ËÚ ̊‚‡Ú ̧ ÍÓÌÍÂÚÌ ̊È ‡ÁÏÂ ‚ÍÎ ̨ ̃ÂÌËÈ Ë Ò ̃ËÚ‡Ú ̧, ̃ÚÓ Ëı ‰Ë‡ÏÂÚ ÏÓÊÂÚ ÔËÌËÏ‡Ú ̧ Á̇ ̃ÂÌˡ ÓÚ ÌÂÍÓÚÓÓ„Ó ÍÓÌ ̃ÌÓ„Ó ‰Ó ·ÂÒÍÓÌ ̃ÌÓ Ï‡ÎÓ„Ó, Ú.Â. ‚ÓÁÏÓÊÌÓ Á‡ÔÓÎÌÂÌË ‚ÒÂı ÔÛÒÚÓÚ ÏÂÊ‰Û ÍÛÔÌ ̊ÏË ‚ÍÎ ̨ ̃ÂÌˡÏË, ÚÓ ‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ Á̇ ̃ÂÌˡCV∈[0,1]. œËÏÂÏ ËÁ‚ÂÒÚÌ ̊ÏË Ó· ̇ÂÏÌ ̊È ÏÓ‰ÛÎ ̧K◦Ë ÏÓ‰ÛÎ ̧ Ò‰‚Ë„‡G◦ËÁÓÚÓÔÌÓÈ Ï‡Úˈ ̊ Ë ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂C•ÍÓ ̋ÙÙˈËÂÌÚÓ‚ ÛÔÛ„ÓÒÚË ‡

48
Zarubin V.S.Prikladnye zadachi termoprochnosti elementov konstruktsii[Applied problems in thermal strength of structural elements]. Moscow, Mashinostroenie Publ., 1985. 296 p. (in Russian).
Total in-text references: 2
  1. In-text reference with the coordinate start=4560
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    –‡ÒÔÓÎÓÊÂÌË ‚ÍÎ ̨ ̃ÂÌËÈ ÔÓÎÓÊËÏ ÒÎÛ ̃‡ÈÌ ̊Ï, ̃ÚÓ ÔÓÁ‚ÓΡÂÚ Ò ̃ËÚ‡Ú ̧ ÍÓÏÔÓÁËÚ Ï‡ÍÓÒÍÓÔË ̃ÂÒÍË ËÁÓÚÓÔÌ ̊Ï, ÓˆÂÌË‚‡ÂÏ ̊ ÛÔÛ„Ë ҂ÓÈÒÚ‚‡ ÍÓÚÓÓ„Ó ÓÔ‰ÂÎËÏ Ó· ̇ÂÏÌ ̊Ï ÏÓ‰ÛÎÂÏKË ÏÓ‰ÛÎÂÏ Ò‰‚Ë„‡G. ◊ÂÂÁ ̋ÚË ÏÓ‰ÛÎË ÏÓÊÌÓ ‚ ̊‡ÁËÚ ̧ ÔÓ‰ÓÎ ̧Ì ̊È ÏÓ‰ÛÎ ̧ ÛÔÛ„ÓÒÚË (ÏÓ‰ÛÎ ̧ fiÌ„‡) E= 9KG 3K+G Ë ÍÓ ̋ÙÙˈËÂÌÚ œÛ‡ÒÒÓ̇ν= 1 2 − 3G 6K+ 2G ÍÓÏÔÓÁËÚ‡
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    . 1. ŒÒÌÓ‚Ì ̊ ÒÓÓÚÌÓ ̄ÂÌˡ ”ÔÛ„Ë ı‡‡ÍÚÂËÒÚËÍË ËÁÓÚÓÔÌ ̊ı ÍÓÏÔÓÁËÚ‡ ‚ ˆÂÎÓÏ Ë Â„Ó Ï‡Úˈ ̊ ÏÓÊÌÓ Ô‰ÒÚ‡‚ËÚ ̧ ‚ Ó‰Ë̇ÍÓ‚ÓÈ ÚÂÌÁÓÌÓÈ ÙÓÏ [6] (̇ ÔËÏÂ ı‡‡ÍÚÂËÒÚËÍ ÍÓÏÔÓÁËÚ‡) Ĉ= 3K̂V+ 2ĜD,̂S=1 3K V̂+1 2G D̂,(1) „‰Â̂CË̂S| ÚÂÌÁÓ ̊ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡ ÍÓ ̋ÙÙˈËÂÌÚÓ‚ ÛÔÛ„ÓÒÚË Ë ÔÓ‰‡ÚÎË‚ÓÒÚË ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓ, ‡̂VË̂D| ÚÂÌÁÓ ̊ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡, ˇ‚Ρ ̨ ̆ËÂÒˇ ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓ Ó· ̇ÂÏÌÓÈ Ë ‰Â‚ˇÚÓ

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    ¬Ë‰ÌÓ, ̃ÚÓ ËÁÏÂÌÂÌË Á̇ ̃ÂÌˡK̇ ‰‚‡ ÔÓˇ‰Í‡ Ó͇Á ̊‚‡ÂÚ Ò··Ó ‚ÎˡÌË ̇ Á‡‚ËÒËÏÓÒÚË ̃GË̂GÓÚCV. ƒÎˇ ‡ÌËÁÓÚÓÔÌ ̊ı ‚ÍÎ ̨ ̃ÂÌËÈ Ò ÍÛ·Ë ̃ÂÒÍÓÈ ÒËÏÏÂÚËÂÈ ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂C•ÏÓÊÌÓ Ô‰ÒÚ‡‚ËÚ ̧ ̃ÂÂÁ ÚË ̋ÎÂÏÂÌÚ‡C•11,C•12ËC•44ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÈ ̋ÚÓÏÛ ÚÂÌÁÓÛ Ï‡Úˈ ̊ ̄ÂÒÚÓ„Ó ÔÓˇ‰Í‡ [51]. ¬ ̋ÚÓÏ ÒÎÛ ̃‡Â
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    C•iimm/3 = 3/S•iimm=С•11+ 2C•12= 3K•, С•imim−C•iimm/3 = (2G•1−3G•2)ËS•imim−S•iimm/3 = 2/G•1+ 3/(2G•2), „‰ÂG•1= (С•11−C•12)/2 ËG•2=C•44. ›ÚË ‡‚ÂÌÒÚ‚‡ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ‚ ÒÓÓÚÌÓ ̄ÂÌˡı (9){(11) ÔË ‡Ò ̃ÂÚ Á‡‚ËÒËÏÓÒÚÂÈ ̃K+,̂K+Ë ̃K−,̂K−(ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓ ̄ÚËıÔÛÌÍÚËÌ ̊Â Ë ÔÛÌÍÚËÌ ̊ ÎËÌËË Ì‡ ËÒ.3) ÔËK= 0,1ËK= 10.

49
Zarubin V.S., Kuvyrkin G.N.Matematicheskie modeli mekhaniki i elektrodinamiki sploshnoi sredy[Mathematical models of mechanics and electrodynamics of continuous media]. Moscow, Bauman MSTU Publ., 2008. 512 p. (in Russian).
Total in-text references: 7
  1. In-text reference with the coordinate start=5770
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    V̂··̂V=̂V,̂D··̂D=̂D,̂V··̂D=̂O4,(2) „‰Â̂O4| ÚÂÌÁÓ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡ Ò ÌÛ΂ ̊ÏË ÍÓÏÔÓÌÂÌÚ‡ÏË, ‡ ͇ʉ‡ˇ ËÁ ÚÓ ̃ÂÍ ÏÂÊ‰Û ÒÓÏÌÓÊËÚÂΡÏË ‚ ÔÓËÁ‚‰ÂÌËË ÚÂÌÁÓÓ‚ ÓÁ̇ ̃‡ÂÚ Ò‚ÂÚ ̊‚‡ÌË ÔÓ Ë̉ÂÍÒÛ, Ó‰Ë̇ÍÓ‚ÓÏÛ ‚ Ó·ÓËı ÒÓÏÌÓÊËÚÂΡı
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    . “ÂÌÁÓ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡ ËÏÂÂÚ ‰‚‡ ÎËÌÂÈÌ ̊ı ÓÚÌÓÒËÚÂÎ ̧ÌÓ Ò‚ÓËı ÍÓÏÔÓÌÂÌÚ ËÌ‚‡ˇÌÚ‡, ÔÓÎÛ ̃‡ÂÏ ̊ı Ò‚ÂÚ ̊‚‡ÌËÂÏ ÔÓ ‰‚ÛÏ Ô‡‡Ï Ë̉ÂÍÒÓ‚. ƒÎˇ ÚÂÌÁÓ‡, ÓÔ‰ÂΡÂÏÓ„Ó ÔÂ‚ ̊Ï ‡‚ÂÌÒÚ‚ÓÏ (1), ̋ÚË ËÌ‚‡ˇÌÚ ̊ ÏÓÊÌÓ Ô‰ÒÚ‡‚ËÚ ̧ ‚ ‚ˉ Ĉ·· ··̂V=Ciimm= 9K,̂C·· ··̂D=Cimim−Ciimm 3 = 10G,(3) ‡ ‰Îˇ ÚÂÌÁÓ‡, ÓÔ‰ÂΡÂÏÓ„Ó ‚ÚÓ ̊Ï ‡‚ÂÌÒÚ‚ÓÏ (1) | Ŝ·· ··̂V=Siimm=1 K ,̂S·· ··̂D=Simim− Siimm 3 = 5 2G .(4)

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    ŒÒ‰ÌÂÌÌ ̊ ÔÓ Ó· ̇ÂÏÛV0ÎÓ͇Π̧Ì ̊ Á̇ ̃ÂÌˡˆs(M)ˈe(M)ÚÂÌÁÓÓ‚ ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓ Ì‡ÔˇÊÂÌËÈ Ë ‰ÂÙÓχˆËË ‚ ÓÍÂÒÚÌÓÒÚË ÚÓ ̃ÍËM∈V0ËÏ ̨Ú ‚ˉ 〈ˆs〉= 1 V0 ∫ V0 ˆs(M)dV(M)или〈ˆe〉= 1 V0 ∫ V0 ˆe(M)dV(M), „‰Â Û„ÎÓ‚ ̊ ÒÍÓ·ÍË Ó·ÓÁ̇ ̃‡ ̨Ú ÓÔÂ‡ˆË ̨ ÓÒ‰ÌÂÌˡ. ÃÓ‰ÛÎË ÛÔÛ„ÓÒÚË ÍÓÏÔÓÁËÚ‡, Ò‚ˇÁ ̊‚‡ ̨ ̆Ë ̋ÚË ÓÒ‰ÌÂÌÌ ̊ ÚÂÌÁÓ ̊, ̇Á ̊‚‡ ̨Ú ̋ÙÙÂÍÚË‚Ì ̊ÏË
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    . ¬‚‰ÂÏ ̋ÚË ÏÓ‰ÛÎË ËÁ ÛÒÎӂˡ ‡‚ÂÌÒÚ‚‡ Ó· ̇ÂÏÌÓÈ ÔÎÓÚÌÓÒÚË ÔÓÚÂ̈ˇΠ̧ÌÓÈ ̋ÌÂ„ËË ‰ÂÙÓχˆËË ‚ ËÁÓÚÓÔÌÓÈ ÒÂ‰Â Ë ‚ ‡Π̧ÌÓÏ ÍÓÏÔÓÁËÚÂ: 1 2 〈ˆe〉 ··̂C·· 〈ˆe〉= 1 2 〈ˆs〉 ··̂S·· 〈ˆs〉= 1 2V0 ∫ V0 ˆs∗(M)··ˆe∗(M)dV(M) = = 1 2V0 ∫ V0 C∗ijmn(M)ε∗mn(M)ε∗ij(M)dV(M)= 1 2V0 ∫ V0 S∗ijmn(M)σ∗mn(M)σ∗ij(M)dV(M),(5) „‰Âˆs∗ˈe∗| ÚÂÌÁÓ ̊ ̇ÔˇÊÂÌËÈ Ë ‰ÂÙÓχˆËË Ò ÍÓÏÔÓÌÂÌÚ‡ÏË ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓσ∗ijËε∗ij, ÓÔ‰ÂÎÂÌÌ

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    ‚ÂÚÒÚ‚ÂÌÌÓ. 2. œÓÒÚÓÂÌË ‰‚ÛÒÚÓÓÌÌËı ÓˆÂÌÓÍ œÛÒÚ ̧ ̇ ÔÓ‚ÂıÌÓÒÚËS0, Ó„‡ÌË ̃Ë‚‡ ̨ ̆ÂÈ Ô‰ÒÚ‡‚ËÚÂÎ ̧Ì ̊È ̋ÎÂÏÂÌÚ, Á‡‰‡Ì ̊ ÍËÌÂχÚË ̃ÂÒÍË „‡ÌË ̃Ì ̊ ÛÒÎӂˡ, ÔË‚Ó‰ˇ ̆ËÂ Í ÌÂÔÂ ̊‚ÌÓÏÛ ‡ÒÔ‰ÂÎÂÌË ̨ ÔÂÂÏ ̆ÂÌËÈ, ÍÓÚÓÓÏÛ ÒÓÓÚ‚ÂÚÒÚ‚Û ̨Ú ÍÓÏÔÓÌÂÌÚ ̊εij(M) = const(M∈V0) ÚÂÌÁÓ‡ ‰ÂÙÓχˆËË, ÒÓ‚Ô‡‰‡ ̨ ̆ËÂ Ò ÍÓÏÔÓÌÂÌÚ‡ÏË〈εij〉. “‡ÍÓ ‡ÒÔ‰ÂÎÂÌË ˇ‚ΡÂÚÒˇ ‰ÓÔÛÒÚËÏ ̊Ï ‰Îˇ ÙÛÌ͈ËÓ̇· À‡„‡Ìʇ
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    , ‰ÓÒÚË„‡ ̨ ̆Â„Ó ÏËÌËÏÛχ ̇ ËÒÚËÌÌÓÏ ‡ÒÔ‰ÂÎÂÌËË ÔÂÂÏ ̆ÂÌËÈ, ̃ÚÓ ÔÓÁ‚ÓΡÂÚ Ò Û ̃ÂÚÓÏ ‡‚ÂÌÒÚ‚ (5) Á‡ÔËÒ‡Ú ̧, ÓÔÛÒÚË‚ Ó·ÓÁ̇ ̃ÂÌË ÚÓ ̃ÍËM∈V0, 1 2 ∫ V0 C∗ijmnεmnεijdV> 1 2 ∫ V0 C∗ijmnε∗mnε∗ijdV= V0 2 Cijmn〈εmn〉〈εij〉dV, „‰ÂCijmn| ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂C.

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    ‰ÂÎÂÌËË ÔÂÂÏ ̆ÂÌËÈ, ̃ÚÓ ÔÓÁ‚ÓΡÂÚ Ò Û ̃ÂÚÓÏ ‡‚ÂÌÒÚ‚ (5) Á‡ÔËÒ‡Ú ̧, ÓÔÛÒÚË‚ Ó·ÓÁ̇ ̃ÂÌË ÚÓ ̃ÍËM∈V0, 1 2 ∫ V0 C∗ijmnεmnεijdV> 1 2 ∫ V0 C∗ijmnε∗mnε∗ijdV= V0 2 Cijmn〈εmn〉〈εij〉dV, „‰ÂCijmn| ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂C. ŒÚÒ ̨‰‡ ÒΉÛÂÚ 1 V0 ∫ V0 (C∗ijmn−Cijmn)dV>0.(6) ÕÂ‡‚ÂÌÒÚ‚‡ (6) ̋Í‚Ë‚‡ÎÂÌÚÌ ̊ ‰‚ÛÏ ÌÂ‡‚ÂÌÒÚ‚‡Ï, ÒÓ‰Âʇ ̆ËÏ ÎËÌÂÈÌ ̊ ËÌ‚‡ˇÌÚ ̊ ÚÂÌÁÓ‡ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡ Ò ÍÓÏÔÓÌÂÌÚ‡ÏËC∗ijmn−Cijmn
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    : 1 V0 ∫ V0 (C∗iimm−Ciimm)dV>0, 1 V0 ∫ V0 ( C∗imim− C∗iimm 3 −Cimim+ Ciimm 3 ) dV>0, ËÎË, Û ̃ËÚ ̊‚‡ˇ ËÁÓÚÓÔÌÓÒÚ ̧ ÚÂÌÁÓÓ‚̂C◦Ë̂CÍÓ ̋ÙÙˈËÂÌÚÓ‚ ÛÔÛ„ÓÒÚË Ï‡Úˈ ̊ Ë ÍÓÏÔÓÁËÚ‡ ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓ Ë ‡‚ÂÌÒÚ‚‡ (3), ÔÓÎÛ ̃‡ÂÏ C•iimmCV 9 +K◦(1−CV)>K, ( C•imim− C•iimm 3 ) CV+ 10G◦(1−CV)>10G,(7) „‰ÂC•ijmn| ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂C•. œÛÒÚ ̧ ÚÂÔÂ ̧ ̇ ÔÓ‚ÂıÌÓÒÚËS0Á‡‰‡Ì ̊ ÒËÎÓ‚ ̊ „‡ÌË ̃Ì ̊ ÛÒÎӂˡ, ‚ ̊Á ̊‚‡ ̨

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    ̃‡ÂÏ C•iimmCV 9 +K◦(1−CV)>K, ( C•imim− C•iimm 3 ) CV+ 10G◦(1−CV)>10G,(7) „‰ÂC•ijmn| ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂C•. œÛÒÚ ̧ ÚÂÔÂ ̧ ̇ ÔÓ‚ÂıÌÓÒÚËS0Á‡‰‡Ì ̊ ÒËÎÓ‚ ̊ „‡ÌË ̃Ì ̊ ÛÒÎӂˡ, ‚ ̊Á ̊‚‡ ̨ ̆Ë ‚ Ô‰ÒÚ‡‚ËÚÂÎ ̧ÌÓÏ ̋ÎÂÏÂÌÚ ̇ÔˇÊÂÌÌÓ ÒÓÒÚÓˇÌËÂ Ò ÍÓÏÔÓÌÂÌÚ‡ÏËσij(M) = const(M∈V0), ÒÓ‚Ô‡‰‡ ̨ ̆ËÏË Ò ÍÓÏÔÓÌÂÌÚ‡ÏË〈σij〉. “‡ÍÓ ‡ÒÔ‰ÂÎÂÌË ̇ÔˇÊÂÌËÈ ˇ‚ΡÂÚÒˇ ‰ÓÔÛÒÚËÏ ̊Ï ‰Îˇ ÙÛÌ͈ËÓ̇· ‡ÒÚËΡÌÓ
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    , ‰ÓÒÚË„‡ ̨ ̆Â„Ó Ï‡ÍÒËÏÛχ ËÒÚËÌÌÓÏ ‡ÒÔ‰ÂÎÂÌËË Ì‡ÔˇÊÂÌËÈ. ›ÚÓ ‰‡ÂÚ ‚ÓÁÏÓÊÌÓÒÚ ̧ Ò Ò Û ̃ÂÚÓÏ ‡‚ÂÌÒÚ‚ (4) Á‡ÔËÒ‡Ú ̧, ÓÔÛÒÚË‚ Ó·ÓÁ̇ ̃ÂÌË ÚÓ ̃ÍËM∈V0, − 1 2 ∫ V0 S∗ijmnσmnσijdV6− 1 2 ∫ V0 S∗ijmnσ∗mnσ∗ijdV=− V0 2 Sijmn〈σmn〉〈σij〉dV, „‰ÂSijmn| ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂S.

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    — Û ̃ÂÚÓÏ ÙÓÏÛÎ (1), (2) Ë (12) Ë Á‡‚ËÒËÏÓÒÚËνÓÚKËĠȉÂÏ Ĉ··̂W∗=(3K+4G)̂V+5G3K+4G 3K+6G D̂,̂C··̂W∗−̂C=4ĜV+G9K+8G 3K+6G D̂. ŒÔÂ‡ˆËˇ ÓÒ‰ÌÂÌˡ ÚÂÌÁÓÓ‚ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡ ‡‚ÌÓÒËÎ ̧̇ ‚ ̊ ̃ËÒÎÂÌË ̨ Ëı ‰‚Ûı ÎËÌÂÈÌ ̊ı ËÌ‚‡ˇÌÚÓ‚ ÔÛÚÂÏ ÔÓÎÌÓÈ Ò‚ÂÚÍË Ò ÚÂÌÁÓ‡ÏË̂VË̂D
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    . “Ó„‰‡ Ò Û ̃ÂÚÓÏ ÙÓÏÛÎ ̊ (1) ÔËÏÂÌËÚÂÎ ̧ÌÓ Í ËÁÓÚÓÔÌÓÈ Ï‡Úˈ ‡‚ÂÌÒÚ‚Ó (20) ·Û‰ÂÚ ̋Í‚Ë‚‡ÎÂÌÚÌÓ ÒËÒÚÂÏ ‰‚Ûı ‡Î„·‡Ë ̃ÂÒÍËı Û‡‚ÌÂÌËÈ            CV C•iimm/3 + 4G = 1 3K+ 4G − 1−CV 3K◦+ 4G , CV 6 ( C•imim−C•iimm/3 )K+ 2G 5 +G(9K+ 8G) = = 1 5G(3K+ 4G) − 1−CV 6G◦(K+ 2G) +G(9K+ 8G) , (21) ‰ÓÒÚ‡ÚÓ ̃Ì ̊ı ‰Îˇ ̇ıÓʉÂÌˡ ̋ÙÙÂÍÚË‚Ì ̊ı Á̇ ̃ÂÌËÈ Ó· ̇ÂÏÌÓ„Ó ÏÓ‰ÛΡKË ÏÓ‰ÛΡ Ò‰‚Ë„‡ G

  7. In-text reference with the coordinate start=17304
    Prefix
    ¬Ë‰ÌÓ, ̃ÚÓ ËÁÏÂÌÂÌË Á̇ ̃ÂÌˡK̇ ‰‚‡ ÔÓˇ‰Í‡ Ó͇Á ̊‚‡ÂÚ Ò··Ó ‚ÎˡÌË ̇ Á‡‚ËÒËÏÓÒÚË ̃GË̂GÓÚCV. ƒÎˇ ‡ÌËÁÓÚÓÔÌ ̊ı ‚ÍÎ ̨ ̃ÂÌËÈ Ò ÍÛ·Ë ̃ÂÒÍÓÈ ÒËÏÏÂÚËÂÈ ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂C•ÏÓÊÌÓ Ô‰ÒÚ‡‚ËÚ ̧ ̃ÂÂÁ ÚË ̋ÎÂÏÂÌÚ‡C•11,C•12ËC•44ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÈ ̋ÚÓÏÛ ÚÂÌÁÓÛ Ï‡Úˈ ̊ ̄ÂÒÚÓ„Ó ÔÓˇ‰Í‡ [51]. ¬ ̋ÚÓÏ ÒÎÛ ̃‡Â
    Exact
    [48,49]
    Suffix
    C•iimm/3 = 3/S•iimm=С•11+ 2C•12= 3K•, С•imim−C•iimm/3 = (2G•1−3G•2)ËS•imim−S•iimm/3 = 2/G•1+ 3/(2G•2), „‰ÂG•1= (С•11−C•12)/2 ËG•2=C•44. ›ÚË ‡‚ÂÌÒÚ‚‡ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ‚ ÒÓÓÚÌÓ ̄ÂÌˡı (9){(11) ÔË ‡Ò ̃ÂÚ Á‡‚ËÒËÏÓÒÚÂÈ ̃K+,̂K+Ë ̃K−,̂K−(ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓ ̄ÚËıÔÛÌÍÚËÌ ̊Â Ë ÔÛÌÍÚËÌ ̊ ÎËÌËË Ì‡ ËÒ.3) ÔËK= 0,1ËK= 10.

50
Onami M., ed.Vvedenie v mikromekhaniku[Introduction to micro-mechanics]. Trans. from Japanese. Moscow, Metallurgiia Publ., 1987. 280 p.
Total in-text references: 1
  1. In-text reference with the coordinate start=8207
    Prefix
    ‰ÂÎÂÌËË ÔÂÂÏ ̆ÂÌËÈ, ̃ÚÓ ÔÓÁ‚ÓΡÂÚ Ò Û ̃ÂÚÓÏ ‡‚ÂÌÒÚ‚ (5) Á‡ÔËÒ‡Ú ̧, ÓÔÛÒÚË‚ Ó·ÓÁ̇ ̃ÂÌË ÚÓ ̃ÍËM∈V0, 1 2 ∫ V0 C∗ijmnεmnεijdV> 1 2 ∫ V0 C∗ijmnε∗mnε∗ijdV= V0 2 Cijmn〈εmn〉〈εij〉dV, „‰ÂCijmn| ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂C. ŒÚÒ ̨‰‡ ÒΉÛÂÚ 1 V0 ∫ V0 (C∗ijmn−Cijmn)dV>0.(6) ÕÂ‡‚ÂÌÒÚ‚‡ (6) ̋Í‚Ë‚‡ÎÂÌÚÌ ̊ ‰‚ÛÏ ÌÂ‡‚ÂÌÒÚ‚‡Ï, ÒÓ‰Âʇ ̆ËÏ ÎËÌÂÈÌ ̊ ËÌ‚‡ˇÌÚ ̊ ÚÂÌÁÓ‡ ̃ÂÚ‚ÂÚÓ„Ó ‡Ì„‡ Ò ÍÓÏÔÓÌÂÌÚ‡ÏËC∗ijmn−Cijmn
    Exact
    [49,50]
    Suffix
    : 1 V0 ∫ V0 (C∗iimm−Ciimm)dV>0, 1 V0 ∫ V0 ( C∗imim− C∗iimm 3 −Cimim+ Ciimm 3 ) dV>0, ËÎË, Û ̃ËÚ ̊‚‡ˇ ËÁÓÚÓÔÌÓÒÚ ̧ ÚÂÌÁÓÓ‚̂C◦Ë̂CÍÓ ̋ÙÙˈËÂÌÚÓ‚ ÛÔÛ„ÓÒÚË Ï‡Úˈ ̊ Ë ÍÓÏÔÓÁËÚ‡ ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓ Ë ‡‚ÂÌÒÚ‚‡ (3), ÔÓÎÛ ̃‡ÂÏ C•iimmCV 9 +K◦(1−CV)>K, ( C•imim− C•iimm 3 ) CV+ 10G◦(1−CV)>10G,(7) „‰ÂC•ijmn| ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂C•. œÛÒÚ ̧ ÚÂÔÂ ̧ ̇ ÔÓ‚ÂıÌÓÒÚËS0Á‡‰‡Ì ̊ ÒËÎÓ‚ ̊ „‡ÌË ̃Ì ̊ ÛÒÎӂˡ, ‚ ̊Á ̊‚‡ ̨

51
Nye J.F.Physical Properties of Crystals. London, Oxford University Press, 1957. (Russ. ed.: Nye J.F.Fizicheskie svoistva kristallov. Moscow, Mir Publ., 1967. 385 p.).
Total in-text references: 1
  1. In-text reference with the coordinate start=17282
    Prefix
    ¬Ë‰ÌÓ, ̃ÚÓ ËÁÏÂÌÂÌË Á̇ ̃ÂÌˡK̇ ‰‚‡ ÔÓˇ‰Í‡ Ó͇Á ̊‚‡ÂÚ Ò··Ó ‚ÎˡÌË ̇ Á‡‚ËÒËÏÓÒÚË ̃GË̂GÓÚCV. ƒÎˇ ‡ÌËÁÓÚÓÔÌ ̊ı ‚ÍÎ ̨ ̃ÂÌËÈ Ò ÍÛ·Ë ̃ÂÒÍÓÈ ÒËÏÏÂÚËÂÈ ÍÓÏÔÓÌÂÌÚ ̊ ÚÂÌÁÓ‡̂C•ÏÓÊÌÓ Ô‰ÒÚ‡‚ËÚ ̧ ̃ÂÂÁ ÚË ̋ÎÂÏÂÌÚ‡C•11,C•12ËC•44ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÈ ̋ÚÓÏÛ ÚÂÌÁÓÛ Ï‡Úˈ ̊ ̄ÂÒÚÓ„Ó ÔÓˇ‰Í‡
    Exact
    [51]
    Suffix
    . ¬ ̋ÚÓÏ ÒÎÛ ̃‡Â [48,49]C•iimm/3 = 3/S•iimm=С•11+ 2C•12= 3K•, С•imim−C•iimm/3 = (2G•1−3G•2)ËS•imim−S•iimm/3 = 2/G•1+ 3/(2G•2), „‰ÂG•1= (С•11−C•12)/2 ËG•2=C•44. ›ÚË ‡‚ÂÌÒÚ‚‡ ËÒÔÓÎ ̧ÁÓ‚‡Ì ̊ ‚ ÒÓÓÚÌÓ ̄ÂÌˡı (9){(11) ÔË ‡Ò ̃ÂÚ Á‡‚ËÒËÏÓÒÚÂÈ ̃K+,̂K+Ë ̃K−,̂K−(ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓ ̄ÚËıÔÛÌÍÚËÌ ̊Â Ë ÔÛÌÍÚËÌ ̊ ÎËÌËË Ì‡ ËÒ.3) ÔËK= 0,1ËK= 10.