The 12 references with contexts in paper V. Zarubin S., G. Kuvyrkin N., I. Savel'eva Yu., В. Зарубин С., Г. Кувыркин Н., И. Савельева Ю. (2016) “Диэлектрическая проницаемость композита с металлическими включениями в виде эллипсоидов вращения // Permittivity of Composite with Metallic Inclusions as an Ellipsoid of the Rotation” / spz:neicon:radiovega:y:2015:i:4:p:62-77

1
Trofimov N.N., ed.Fisika kompozitsionnykh materialov. T. 2. [The physics of composites. Vol. 2.]. Moscow, Mir Publ., 2005, 344 p. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=2287
    Prefix
    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‰Ë ̋ÎÂÍÚË ̃ÂÒ͇ˇ ÔÓÌˈ‡ÂÏÓÒÚ ̧; ̋ÎÎËÔÒÓˉ‡Î ̧Ì ̊ ÏÂÚ‡ÎÎË ̃ÂÒÍË ‚ÍÎ ̨ ̃ÂÌˡ ¬‚‰ÂÌË ÓÏÔÓÁËÚ ̊ ̄ËÓÍÓ ÔËÏÂÌˇ ̨Ú ‚ ‡ÁÎË ̃Ì ̊ı ӷ·ÒÚˇı ÚÂıÌËÍË Ì ÚÓÎ ̧ÍÓ ‚ ‚ˉ ÍÓÌÒÚÛ͈ËÓÌÌ ̊ı Ë ÚÂÔÎÓÁ‡ ̆ËÚÌ ̊ı χÚÂˇÎÓ‚, ÌÓ Ë Í‡Í ÙÛÌ͈ËÓ̇Π̧Ì ̊ χÚÂˇΠ̊ ‚ ‡ÁÌÓÓ·‡ÁÌ ̊ı ̋ÎÂÍÚÓÚÂıÌË ̃ÂÒÍËı ÔË·Ó‡ı Ë ÛÒÚÓÈÒÚ‚‡ı, ‚ ÚÓÏ ̃ËÒΠ‚ ͇ ̃ÂÒÚ‚Â ‰Ë ̋ÎÂÍÚËÍÓ‚
    Exact
    [1,2,3,4]
    Suffix
    . ƒÎˇ ÍÓÏÔÓÁËÚ‡, ËÒÔÓÎ ̧ÁÛÂÏÓ„Ó ‚ ̋ÚÓÏ Í‡ ̃ÂÒÚ‚Â, ÓÒÌÓ‚ÌÓÈ ı‡‡ÍÚÂËÒÚËÍÓÈ ˇ‚ΡÂÚÒˇ ÓÚÌÓÒËÚÂÎ ̧̇ˇ ‰Ë ̋ÎÂÍÚË ̃ÂÒ͇ˇ ÔÓÌˈ‡ÂÏÓÒÚ ̧ (‰‡Î ‰Îˇ Í‡ÚÍÓÒÚË ÒÎÓ‚Ó "ÓÚÌÓÒËÚÂÎ ̧̇ˇ" ÓÔÛ ̆ÂÌÓ). ›Ú‡ ı‡‡ÍÚÂËÒÚË͇ Á‡‚ËÒËÚ, ‚ ÔÂ‚Û ̨ Ó ̃Â‰ ̧, ÓÚ Ò‚ÓÈÒÚ‚ χÚˈ ̊ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌËÈ, ‡ Ú‡ÍÊ ÓÚ ÙÓÏ ̊ Ë Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ.

2
Vinogradov A.P.Electrodinamika kompozitnukh materialov[The electrodynamics of composites]. Moscow, Editorial URSS Publ., 2001, 208 p. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=2287
    Prefix
    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‰Ë ̋ÎÂÍÚË ̃ÂÒ͇ˇ ÔÓÌˈ‡ÂÏÓÒÚ ̧; ̋ÎÎËÔÒÓˉ‡Î ̧Ì ̊ ÏÂÚ‡ÎÎË ̃ÂÒÍË ‚ÍÎ ̨ ̃ÂÌˡ ¬‚‰ÂÌË ÓÏÔÓÁËÚ ̊ ̄ËÓÍÓ ÔËÏÂÌˇ ̨Ú ‚ ‡ÁÎË ̃Ì ̊ı ӷ·ÒÚˇı ÚÂıÌËÍË Ì ÚÓÎ ̧ÍÓ ‚ ‚ˉ ÍÓÌÒÚÛ͈ËÓÌÌ ̊ı Ë ÚÂÔÎÓÁ‡ ̆ËÚÌ ̊ı χÚÂˇÎÓ‚, ÌÓ Ë Í‡Í ÙÛÌ͈ËÓ̇Π̧Ì ̊ χÚÂˇΠ̊ ‚ ‡ÁÌÓÓ·‡ÁÌ ̊ı ̋ÎÂÍÚÓÚÂıÌË ̃ÂÒÍËı ÔË·Ó‡ı Ë ÛÒÚÓÈÒÚ‚‡ı, ‚ ÚÓÏ ̃ËÒΠ‚ ͇ ̃ÂÒÚ‚Â ‰Ë ̋ÎÂÍÚËÍÓ‚
    Exact
    [1,2,3,4]
    Suffix
    . ƒÎˇ ÍÓÏÔÓÁËÚ‡, ËÒÔÓÎ ̧ÁÛÂÏÓ„Ó ‚ ̋ÚÓÏ Í‡ ̃ÂÒÚ‚Â, ÓÒÌÓ‚ÌÓÈ ı‡‡ÍÚÂËÒÚËÍÓÈ ˇ‚ΡÂÚÒˇ ÓÚÌÓÒËÚÂÎ ̧̇ˇ ‰Ë ̋ÎÂÍÚË ̃ÂÒ͇ˇ ÔÓÌˈ‡ÂÏÓÒÚ ̧ (‰‡Î ‰Îˇ Í‡ÚÍÓÒÚË ÒÎÓ‚Ó "ÓÚÌÓÒËÚÂÎ ̧̇ˇ" ÓÔÛ ̆ÂÌÓ). ›Ú‡ ı‡‡ÍÚÂËÒÚË͇ Á‡‚ËÒËÚ, ‚ ÔÂ‚Û ̨ Ó ̃Â‰ ̧, ÓÚ Ò‚ÓÈÒÚ‚ χÚˈ ̊ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌËÈ, ‡ Ú‡ÍÊ ÓÚ ÙÓÏ ̊ Ë Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ.

3
Sajhin B.I., ed.Electricheskie svoistva polimerov[Electric properties of polymers]. Leningrad, Khimia Publ., 1986, 224 p. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=2287
    Prefix
    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‰Ë ̋ÎÂÍÚË ̃ÂÒ͇ˇ ÔÓÌˈ‡ÂÏÓÒÚ ̧; ̋ÎÎËÔÒÓˉ‡Î ̧Ì ̊ ÏÂÚ‡ÎÎË ̃ÂÒÍË ‚ÍÎ ̨ ̃ÂÌˡ ¬‚‰ÂÌË ÓÏÔÓÁËÚ ̊ ̄ËÓÍÓ ÔËÏÂÌˇ ̨Ú ‚ ‡ÁÎË ̃Ì ̊ı ӷ·ÒÚˇı ÚÂıÌËÍË Ì ÚÓÎ ̧ÍÓ ‚ ‚ˉ ÍÓÌÒÚÛ͈ËÓÌÌ ̊ı Ë ÚÂÔÎÓÁ‡ ̆ËÚÌ ̊ı χÚÂˇÎÓ‚, ÌÓ Ë Í‡Í ÙÛÌ͈ËÓ̇Π̧Ì ̊ χÚÂˇΠ̊ ‚ ‡ÁÌÓÓ·‡ÁÌ ̊ı ̋ÎÂÍÚÓÚÂıÌË ̃ÂÒÍËı ÔË·Ó‡ı Ë ÛÒÚÓÈÒÚ‚‡ı, ‚ ÚÓÏ ̃ËÒΠ‚ ͇ ̃ÂÒÚ‚Â ‰Ë ̋ÎÂÍÚËÍÓ‚
    Exact
    [1,2,3,4]
    Suffix
    . ƒÎˇ ÍÓÏÔÓÁËÚ‡, ËÒÔÓÎ ̧ÁÛÂÏÓ„Ó ‚ ̋ÚÓÏ Í‡ ̃ÂÒÚ‚Â, ÓÒÌÓ‚ÌÓÈ ı‡‡ÍÚÂËÒÚËÍÓÈ ˇ‚ΡÂÚÒˇ ÓÚÌÓÒËÚÂÎ ̧̇ˇ ‰Ë ̋ÎÂÍÚË ̃ÂÒ͇ˇ ÔÓÌˈ‡ÂÏÓÒÚ ̧ (‰‡Î ‰Îˇ Í‡ÚÍÓÒÚË ÒÎÓ‚Ó "ÓÚÌÓÒËÚÂÎ ̧̇ˇ" ÓÔÛ ̆ÂÌÓ). ›Ú‡ ı‡‡ÍÚÂËÒÚË͇ Á‡‚ËÒËÚ, ‚ ÔÂ‚Û ̨ Ó ̃Â‰ ̧, ÓÚ Ò‚ÓÈÒÚ‚ χÚˈ ̊ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌËÈ, ‡ Ú‡ÍÊ ÓÚ ÙÓÏ ̊ Ë Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ.

4
Tareev B.M.Fisika dielectricheskikh materialov[Physics of dielectric materials]. Moscow, Energoatomizdat Publ., 1982, 320 p. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=2287
    Prefix
    Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÍÓÏÔÓÁËÚ; ‰Ë ̋ÎÂÍÚË ̃ÂÒ͇ˇ ÔÓÌˈ‡ÂÏÓÒÚ ̧; ̋ÎÎËÔÒÓˉ‡Î ̧Ì ̊ ÏÂÚ‡ÎÎË ̃ÂÒÍË ‚ÍÎ ̨ ̃ÂÌˡ ¬‚‰ÂÌË ÓÏÔÓÁËÚ ̊ ̄ËÓÍÓ ÔËÏÂÌˇ ̨Ú ‚ ‡ÁÎË ̃Ì ̊ı ӷ·ÒÚˇı ÚÂıÌËÍË Ì ÚÓÎ ̧ÍÓ ‚ ‚ˉ ÍÓÌÒÚÛ͈ËÓÌÌ ̊ı Ë ÚÂÔÎÓÁ‡ ̆ËÚÌ ̊ı χÚÂˇÎÓ‚, ÌÓ Ë Í‡Í ÙÛÌ͈ËÓ̇Π̧Ì ̊ χÚÂˇΠ̊ ‚ ‡ÁÌÓÓ·‡ÁÌ ̊ı ̋ÎÂÍÚÓÚÂıÌË ̃ÂÒÍËı ÔË·Ó‡ı Ë ÛÒÚÓÈÒÚ‚‡ı, ‚ ÚÓÏ ̃ËÒΠ‚ ͇ ̃ÂÒÚ‚Â ‰Ë ̋ÎÂÍÚËÍÓ‚
    Exact
    [1,2,3,4]
    Suffix
    . ƒÎˇ ÍÓÏÔÓÁËÚ‡, ËÒÔÓÎ ̧ÁÛÂÏÓ„Ó ‚ ̋ÚÓÏ Í‡ ̃ÂÒÚ‚Â, ÓÒÌÓ‚ÌÓÈ ı‡‡ÍÚÂËÒÚËÍÓÈ ˇ‚ΡÂÚÒˇ ÓÚÌÓÒËÚÂÎ ̧̇ˇ ‰Ë ̋ÎÂÍÚË ̃ÂÒ͇ˇ ÔÓÌˈ‡ÂÏÓÒÚ ̧ (‰‡Î ‰Îˇ Í‡ÚÍÓÒÚË ÒÎÓ‚Ó "ÓÚÌÓÒËÚÂÎ ̧̇ˇ" ÓÔÛ ̆ÂÌÓ). ›Ú‡ ı‡‡ÍÚÂËÒÚË͇ Á‡‚ËÒËÚ, ‚ ÔÂ‚Û ̨ Ó ̃Â‰ ̧, ÓÚ Ò‚ÓÈÒÚ‚ χÚˈ ̊ ÍÓÏÔÓÁËÚ‡ Ë ‚ÍÎ ̨ ̃ÂÌËÈ, ‡ Ú‡ÍÊ ÓÚ ÙÓÏ ̊ Ë Ó· ̇ÂÏÌÓÈ ÍÓ̈ÂÌÚ‡ˆËË ‚ÍÎ ̨ ̃ÂÌËÈ.

5
Zarubin V.S., Kuvyrkin G.N., Pugachev O.V. Estimating Electro-physical Properties of the Composite with Dielectric Matrix and Dispersed Conductive Inclusions.Radiooptika=Radio and optics, 2015, no. 3, pp. 51{67. DOI:10.7463/rdopt.0315.0800066(in Russian).
Total in-text references: 2
  1. In-text reference with the coordinate start=2867
    Prefix
    ÃÓ‰ËÙË͇ˆËˇ ‰Ë ̋ÎÂÍÚË͇, ‚ ̊ÔÓÎÌˇ ̨ ̆Â„Ó ÓÎ ̧ χÚˈ ̊ ÍÓÏÔÓÁËÚ‡, ÏÂÚ‡ÎÎË ̃ÂÒÍËÏË ‚ÍÎ ̨ ̃ÂÌˡÏË ÔÓÁ‚ÓΡÂÚ Û‚ÂÎË ̃ËÚ ̧ ‰Ë‡Ô‡ÁÓÌ ‚ÓÁÏÓÊÌÓ„Ó ËÁÏÂÌÂÌˡ ‰Ë ̋ÎÂÍÚË ̃ÂÒÍÓÈ ÔÓÌˈ‡ÂÏÓÒÚË Ú‡ÍÓ„Ó ÍÓÏÔÓÁËÚ‡
    Exact
    [5]
    Suffix
    Ë Ú‡ÍËÏ ÔÛÚÂÏ ‡Ò ̄ËËÚ ̧ ӷ·ÒÚ ̧ Â„Ó ÔËÏÂÌÂÌˡ. ¬ ÓÚÎË ̃Ë ÓÚ ‰ËÒÔÂÒÌ ̊ı ‚ÍÎ ̨ ̃ÂÌËÈ, ·ÎËÁÍËı ÔÓ ÙÓÏÂ Í ̄‡Ó‚ÓÈ, ËÒÔÓÎ ̧ÁÓ‚‡ÌË ‚ÍÎ ̨ ̃ÂÌËÈ ‚ ‚ˉ ̋ÎÎËÔÒÓˉӂ ‚‡ ̆ÂÌˡ ÔË Ëı ÓÔ‰ÂÎÂÌÌÓÈ ÔÓÒÚ‡ÌÒÚ‚ÂÌÌÓÈ ÓËÂÌÚ‡ˆËË ÓÚÍ ̊‚‡ÂÚ ‚ÓÁÏÓÊÌÓÒÚ ̧ ÒÓÁ‰‡‚‡Ú ̧ ÚÂÍÒÚÛËÓ‚‡ÌÌ ̊ ÍÓÏÔÓÁËÚ ̊ Ò Ú·ÛÂÏ ̊ÏË ‡ÌËÁÓÚÓÔÌ ̊ÏË ı‡‡ÍÚÂËÒÚË͇ÏË ‰Ë ̋ÎÂÍÚË ̃ÂÒÍÓÈ ÔÓÌˈ‡ÂÏÓÒÚË. ƒÎˇ ÔÓ„ÌÓÁËÓ‚‡Ìˡ ÓÊˉ‡ÂÏÓ„Ó Û

  2. In-text reference with the coordinate start=19606
    Prefix
    ÏÛÎËÓ‚ÍË Á‡‰‡ ̃Ë ̋ÎÂÍÚÓÒÚ‡ÚËÍË ‚ ÌÂÓ‰ÌÓÓ‰ÌÓÏ Ú‚Â‰ÓÏ ÚÂΠÏÓÊÌÓ ÔÓÒÚÓËÚ ̧ ‰‚ÛÒÚÓÓÌÌË „‡Ìˈ ̊ ‚ÓÁÏÓÊÌ ̊ı Á̇ ̃ÂÌËÈ ‰Ë ̋ÎÂÍÚË ̃ÂÒÍÓÈ ÔÓÌˈ‡ÂÏÓÒÚË ÍÓÏÔÓÁËÚ‡ ÔË ÛÔÓˇ‰Ó ̃ÂÌÌÓÏ ‡ÒÔÓÎÓÊÂÌËË ̋ÎÎËÔÒÓˉ‡Î ̧Ì ̊ı ‚ÍÎ ̨ ̃ÂÌËÈ, ÍÓ„‰‡ ÓÒË ‚‡ ̆ÂÌˡ ‚ÒÂı ̋Í‚Ë‚‡ÎÂÌÚÌ ̊ı ‚ÍÎ ̨ ̃ÂÌËÈ Ô‡‡ÎÎÂÎ ̧Ì ̊. Œ·Î‡ÒÚ ̧V, Á‡ÌˇÚÛ ̨ ÍÓÏÔÓÁËÚÓÏ, ‚ ̊·ÂÂÏ ‚ ‚ˉ ÔˇÏÓ„Ó ˆËÎË̉‡ ‚ ̊ÒÓÚÓÈHÒ ÔÎÓ ̆‡‰ ̧ ̨FÓÒÌÓ‚‡ÌËÈ S0ËSH
    Exact
    [5,10]
    Suffix
    . ¡ÓÍÓ‚Û ̨ ÔÓ‚ÂıÌÓÒÚ ̧S∗ˆËÎË̉‡ ‚ ÚÓ ͇̃ıN∈S∗ÔËÏÂÏ ̋ÎÂÍÚÓËÁÓÎËÓ‚‡ÌÌÓÈ, ̇ Ó‰ÌÓÏ ËÁ ÓÒÌÓ‚‡ÌËÈ Á‡‰‡‰ËÏ ̋ÎÂÍÚË ̃ÂÒÍËÈ ÔÓÚÂ̈ˇÎU=UH, ‡ ̇ ‰Û„ÓÏ | U= 0. —̇ ̃‡Î‡ ‡ÒÒÏÓÚËÏ ‚‡ˇÌÚ ‡ÒÔÓÎÓÊÂÌˡ ‚ÍÎ ̨ ̃ÂÌËÈ ‚ ӷ·ÒÚËV, ÍÓ„‰‡ Ëı ÓÒË ‚‡ ̆ÂÌˡ ÔÂÔẨËÍÛΡÌ ̊ ÓÒÌÓ‚‡ÌËˇÏ ˆËÎË̉‡. œË ̋ÚÓÏ ‰Ë ̋ÎÂÍÚË ̃ÂÒ͇ˇ ÔÓÌˈ‡ÂÏÓÒÚ ̧ ε(M)·Û‰ÂÚ Á‡‚ËÒÂÚ ̧ ÓÚ ÔÓÎÓÊÂÌˡ ÚÓ ̃ÍËM∈V, Ú.

6
Landau L.D., Lifshits E.M.Teoreticheskay fizika. T. 8. Electrodynamika sploshnykh sred[Teoretical physics. Vol. 8. Electrodynamics of continuous media]. Moscow, Nauka Publ., 1992. 664 p. (in Russian).
Total in-text references: 2
  1. In-text reference with the coordinate start=10063
    Prefix
    “Ó„‰‡ ÔÓ ÓÚÌÓ ̄ÂÌË ̨ Í Û‡‚ÌÂÌË ̨ (4) ‡‚ÂÌÒÚ‚ÓU= 0·Û‰ÂÚ ‚ ̊ÔÓÎÌˇÚ ̧ ÓÎ ̧ „‡ÌË ̃ÌÓ„Ó ÛÒÎӂˡ ̇ ÔÓ‚ÂıÌÓÒÚË ÏÂÚ‡ÎÎË ̃ÂÒÍÓ„Ó ‚ÍÎ ̨ ̃ÂÌˡ, ÓÔËÒ ̊‚‡ÂÏÓÈ Û‡‚ÌÂÌËÂÏ (1), ‡ ËÁ‚ÂÒÚÌÓ  ̄ÂÌË ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÈ Á‡‰‡ ̃Ë ̋ÎÂÍÚÓÒÚ‡ÚËÍË
    Exact
    [6]
    Suffix
    , ˉÂÌÚË ̃ÌÓÂ Ò  ̄ÂÌËÂÏ ‡Ì‡ÎÓ„Ë ̃ÌÓÈ Á‡‰‡ ̃Ë ÛÒÚ‡ÌÓ‚Ë‚ ̄ÂÈÒˇ ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË [7], ÔËÏÂÚ ‚ˉ U(z) =−Ezz(1−Gz/G◦z), Gz= b2rbz 2 ∫∞ ξ du (u+b2r)(u+b2z)3/2 ,(5) „‰Âξ| ÔÓÎÓÊËÚÂÎ ̧Ì ̊È ÍÓÂÌ ̧ Û‡‚ÌÂÌˡ r2 b2r+ξ + z2 b2z+ξ = 1,(6) ‡G◦z=GzÔË Á̇ ̃ÂÌËËξ= 0, ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÏ ÔÓ‚ÂıÌÓÒÚË ÏÂÚ‡ÎÎË ̃ÂÒÍÓ„Ó ‚ÍÎ ̨ ̃ÂÌˡ.

  2. In-text reference with the coordinate start=13143
    Prefix
    ‚‰ÂÚ Í ÒÓÓÚÌÓ ̄ÂÌËˇÏ εr=εs+ ζ3εs (1−ζ3)G◦r(β) , G◦r(β) = β2 2 ∫∞ 0 du (u+β)2(1 +u)1/2 .(11) »Á ‚ÚÓ ̊ı ‡‚ÂÌÒÚ‚ (10) Ë (11) ÒΉÛÂÚ, ̃ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊ ÍÓ ̋ÙÙˈËÂÌÚ ̊ ‰ÂÔÓΡËÁ‡ˆËË G◦zËG◦rÁ‡‚ËÒˇÚ ÎË ̄ ̧ ÓÚ Ô‡‡ÏÂÚ‡β=br/bz. ¬ ̃‡ÒÚÌÓÏ ÒÎÛ ̃‡Âβ= 1‰Îˇ ̄‡Ó‚Ó„Ó ‚ÍÎ ̨ ̃ÂÌˡG◦z=G◦r= 1/3, ‡ ‚ Ó· ̆ÂÏ ÒÎÛ ̃‡ÂG◦z+ 2G◦r= 1. »ÌÚ„‡Î ̊ ‚ Û͇Á‡ÌÌ ̊ı ‡‚ÂÌÒÚ‚‡ı Ô‰ÒÚ‡‚ËÏ ̊ ‚ ̋ÎÂÏÂÌÚ‡Ì ̊ı ÙÛÌÍˆËˇı
    Exact
    [6,7,8,9]
    Suffix
    , ‚ ̃‡ÒÚÌÓÒÚË ‰Îˇ ÒÙÂÓˉ‡ (ÒÔÎ ̨ÒÌÛÚÓ„Ó ̋ÎÎËÔÒÓˉ‡ ‚‡ ̆ÂÌˡ) ÔËβ >1 G◦z(β) =β2 (β2−1)1/2−arctg(β2−1)1/2 (β2−1)3/2 . œË ‚ÓÁ‡ÒÚ‡ÌËËβÒÙÂÓˉ ÔË·ÎËʇÂÚÒˇ Í ÍÛ„ÎÓÈ Ô·ÒÚËÌÍÂ. ≈ÒÎË ‰ÓÔÛÒÚËÏÓ ÔÂÌ· ̃ ̧ ‰ËÌˈÂÈ ÔÓ Ò‡‚ÌÂÌË ̨ Òβ2, ÚÓG◦z≈1−(1/β)arctgβ≈1−(πβ/2−1)/β2. ƒÎˇ Û‰ÎËÌÂÌÌÓ„Ó ̋ÎÎËÔÒÓˉ‡ ‚‡ ̆ÂÌˡ ÔËβ <1 G◦z(β) =β2 arcrth(1−β2)1/2−(1−β2)1/2 (1−β2)3/2 . œË Û· ̊‚‡ÌËËβÚ‡ÍÓÈ ̋ÎÎËÔÒÓˉ ÔË·

7
Carslaw H.S., Jaeger J.C.Conduction of Heat in Solids. 2nded. Oxford University Press, 1959. (Russ. ed.:Teploprovodnost' tverdykh tel. Moscow, Nauka Publ., 1964. 488 p.)
Total in-text references: 3
  1. In-text reference with the coordinate start=10145
    Prefix
    “Ó„‰‡ ÔÓ ÓÚÌÓ ̄ÂÌË ̨ Í Û‡‚ÌÂÌË ̨ (4) ‡‚ÂÌÒÚ‚ÓU= 0·Û‰ÂÚ ‚ ̊ÔÓÎÌˇÚ ̧ ÓÎ ̧ „‡ÌË ̃ÌÓ„Ó ÛÒÎӂˡ ̇ ÔÓ‚ÂıÌÓÒÚË ÏÂÚ‡ÎÎË ̃ÂÒÍÓ„Ó ‚ÍÎ ̨ ̃ÂÌˡ, ÓÔËÒ ̊‚‡ÂÏÓÈ Û‡‚ÌÂÌËÂÏ (1), ‡ ËÁ‚ÂÒÚÌÓ  ̄ÂÌË ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÈ Á‡‰‡ ̃Ë ̋ÎÂÍÚÓÒÚ‡ÚËÍË [6], ˉÂÌÚË ̃ÌÓÂ Ò  ̄ÂÌËÂÏ ‡Ì‡ÎÓ„Ë ̃ÌÓÈ Á‡‰‡ ̃Ë ÛÒÚ‡ÌÓ‚Ë‚ ̄ÂÈÒˇ ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË
    Exact
    [7]
    Suffix
    , ÔËÏÂÚ ‚ˉ U(z) =−Ezz(1−Gz/G◦z), Gz= b2rbz 2 ∫∞ ξ du (u+b2r)(u+b2z)3/2 ,(5) „‰Âξ| ÔÓÎÓÊËÚÂÎ ̧Ì ̊È ÍÓÂÌ ̧ Û‡‚ÌÂÌˡ r2 b2r+ξ + z2 b2z+ξ = 1,(6) ‡G◦z=GzÔË Á̇ ̃ÂÌËËξ= 0, ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÏ ÔÓ‚ÂıÌÓÒÚË ÏÂÚ‡ÎÎË ̃ÂÒÍÓ„Ó ‚ÍÎ ̨ ̃ÂÌˡ.

  2. In-text reference with the coordinate start=11031
    Prefix
    «‡ÏÂÌËÏ ̋ÎÂÍÚÓËÁÓÎËÓ‚‡ÌÌÓ ‚ÍÎ ̨ ̃ÂÌË ̋Í‚Ë‚‡ÎÂÌÚÌ ̊Ï, ‰Ë ̋ÎÂÍÚË ̃ÂÒÍÛ ̨ ÔÓÌˈ‡ÂÏÓÒÚ ̧εzÍÓÚÓÓ„Ó Ì‡È‰ÂÏ ËÁ Ò‡‚ÌÂÌˡ∆UzÒ ‚ÓÁÏÛ ̆ÂÌËÂÏ ‡ÒÔ‰ÂÎÂÌˡ ̋ÎÂÍÚË ̃ÂÒÍÓ„Ó ÔÓÚÂ̈ˇ·, ‚ ̊Á‚‡ÌÌ ̊Ï ̋ÚÓÈ Á‡ÏÂÌÓÈ Ë ‡‚Ì ̊Ï ÔË ÛÒÎÓ‚ËËU= 0‚ ÔÎÓÒÍÓÒÚËz= 0(ÔÓ ‡Ì‡ÎÓ„ËË Ò  ̄ÂÌËÂÏ ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÈ Á‡‰‡ ̃Ë ÛÒÚ‡ÌÓ‚Ë‚ ̄ÂÈÒˇ ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË
    Exact
    [7]
    Suffix
    ) ∆ ̄Uz= Ezz(εz−εs) ̄Gz 1 + (εz−εs) ̄G◦ , „‰Â G ̄z=b 2 rbz 2ζ3 ∫∞ ξ ̄ du (u+b2r/ζ2)(u+b2z/ζ2)3/2 ,(7) ξ ̄| ÔÓÎÓÊËÚÂÎ ̧Ì ̊È ÍÓÂÌ ̧ Û‡‚ÌÂÌˡ r2 b2r/ζ2+ ̄ξ + z2 b2z/ζ2+ ̄ξ = 1,(8) ‡ ̄G◦z= ̄GzÔË Á̇ ̃ÂÌËË ̄ξ= 0, ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆ÂÏ ‚Ì ̄ÌÂÈ ÔÓ‚ÂıÌÓÒÚË ̋ÎÂÍÚÓËÁÓÎËÛ ̨ ̆Â„Ó ÔÓÍ ̊Úˡ, ÓÔËÒ ̊‚‡ÂÏÓÈ Û‡‚ÌÂÌËÂÏ (2).

  3. In-text reference with the coordinate start=13143
    Prefix
    ‚‰ÂÚ Í ÒÓÓÚÌÓ ̄ÂÌËˇÏ εr=εs+ ζ3εs (1−ζ3)G◦r(β) , G◦r(β) = β2 2 ∫∞ 0 du (u+β)2(1 +u)1/2 .(11) »Á ‚ÚÓ ̊ı ‡‚ÂÌÒÚ‚ (10) Ë (11) ÒΉÛÂÚ, ̃ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊ ÍÓ ̋ÙÙˈËÂÌÚ ̊ ‰ÂÔÓΡËÁ‡ˆËË G◦zËG◦rÁ‡‚ËÒˇÚ ÎË ̄ ̧ ÓÚ Ô‡‡ÏÂÚ‡β=br/bz. ¬ ̃‡ÒÚÌÓÏ ÒÎÛ ̃‡Âβ= 1‰Îˇ ̄‡Ó‚Ó„Ó ‚ÍÎ ̨ ̃ÂÌˡG◦z=G◦r= 1/3, ‡ ‚ Ó· ̆ÂÏ ÒÎÛ ̃‡ÂG◦z+ 2G◦r= 1. »ÌÚ„‡Î ̊ ‚ Û͇Á‡ÌÌ ̊ı ‡‚ÂÌÒÚ‚‡ı Ô‰ÒÚ‡‚ËÏ ̊ ‚ ̋ÎÂÏÂÌÚ‡Ì ̊ı ÙÛÌÍˆËˇı
    Exact
    [6,7,8,9]
    Suffix
    , ‚ ̃‡ÒÚÌÓÒÚË ‰Îˇ ÒÙÂÓˉ‡ (ÒÔÎ ̨ÒÌÛÚÓ„Ó ̋ÎÎËÔÒÓˉ‡ ‚‡ ̆ÂÌˡ) ÔËβ >1 G◦z(β) =β2 (β2−1)1/2−arctg(β2−1)1/2 (β2−1)3/2 . œË ‚ÓÁ‡ÒÚ‡ÌËËβÒÙÂÓˉ ÔË·ÎËʇÂÚÒˇ Í ÍÛ„ÎÓÈ Ô·ÒÚËÌÍÂ. ≈ÒÎË ‰ÓÔÛÒÚËÏÓ ÔÂÌ· ̃ ̧ ‰ËÌˈÂÈ ÔÓ Ò‡‚ÌÂÌË ̨ Òβ2, ÚÓG◦z≈1−(1/β)arctgβ≈1−(πβ/2−1)/β2. ƒÎˇ Û‰ÎËÌÂÌÌÓ„Ó ̋ÎÎËÔÒÓˉ‡ ‚‡ ̆ÂÌˡ ÔËβ <1 G◦z(β) =β2 arcrth(1−β2)1/2−(1−β2)1/2 (1−β2)3/2 . œË Û· ̊‚‡ÌËËβÚ‡ÍÓÈ ̋ÎÎËÔÒÓˉ ÔË·

8
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.: Kontinual'naia teoriia dislokatsii. Moscow, \Izd-vo inostrannoi literatury" Publ., 1963, 248 p.).
Total in-text references: 1
  1. In-text reference with the coordinate start=13143
    Prefix
    ‚‰ÂÚ Í ÒÓÓÚÌÓ ̄ÂÌËˇÏ εr=εs+ ζ3εs (1−ζ3)G◦r(β) , G◦r(β) = β2 2 ∫∞ 0 du (u+β)2(1 +u)1/2 .(11) »Á ‚ÚÓ ̊ı ‡‚ÂÌÒÚ‚ (10) Ë (11) ÒΉÛÂÚ, ̃ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊ ÍÓ ̋ÙÙˈËÂÌÚ ̊ ‰ÂÔÓΡËÁ‡ˆËË G◦zËG◦rÁ‡‚ËÒˇÚ ÎË ̄ ̧ ÓÚ Ô‡‡ÏÂÚ‡β=br/bz. ¬ ̃‡ÒÚÌÓÏ ÒÎÛ ̃‡Âβ= 1‰Îˇ ̄‡Ó‚Ó„Ó ‚ÍÎ ̨ ̃ÂÌˡG◦z=G◦r= 1/3, ‡ ‚ Ó· ̆ÂÏ ÒÎÛ ̃‡ÂG◦z+ 2G◦r= 1. »ÌÚ„‡Î ̊ ‚ Û͇Á‡ÌÌ ̊ı ‡‚ÂÌÒÚ‚‡ı Ô‰ÒÚ‡‚ËÏ ̊ ‚ ̋ÎÂÏÂÌÚ‡Ì ̊ı ÙÛÌÍˆËˇı
    Exact
    [6,7,8,9]
    Suffix
    , ‚ ̃‡ÒÚÌÓÒÚË ‰Îˇ ÒÙÂÓˉ‡ (ÒÔÎ ̨ÒÌÛÚÓ„Ó ̋ÎÎËÔÒÓˉ‡ ‚‡ ̆ÂÌˡ) ÔËβ >1 G◦z(β) =β2 (β2−1)1/2−arctg(β2−1)1/2 (β2−1)3/2 . œË ‚ÓÁ‡ÒÚ‡ÌËËβÒÙÂÓˉ ÔË·ÎËʇÂÚÒˇ Í ÍÛ„ÎÓÈ Ô·ÒÚËÌÍÂ. ≈ÒÎË ‰ÓÔÛÒÚËÏÓ ÔÂÌ· ̃ ̧ ‰ËÌˈÂÈ ÔÓ Ò‡‚ÌÂÌË ̨ Òβ2, ÚÓG◦z≈1−(1/β)arctgβ≈1−(πβ/2−1)/β2. ƒÎˇ Û‰ÎËÌÂÌÌÓ„Ó ̋ÎÎËÔÒÓˉ‡ ‚‡ ̆ÂÌˡ ÔËβ <1 G◦z(β) =β2 arcrth(1−β2)1/2−(1−β2)1/2 (1−β2)3/2 . œË Û· ̊‚‡ÌËËβÚ‡ÍÓÈ ̋ÎÎËÔÒÓˉ ÔË·

9
Zarubin V.S., Savel'eva I.Yu. Effective Thermal Conductivity Coefficients of the Composites with Spheroidal Inclusions.Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki= Herald of the Bauman Moscow State Technical University. Ser. Natural Sciences, 2013, no. 4, pp. 116{126. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=13143
    Prefix
    ‚‰ÂÚ Í ÒÓÓÚÌÓ ̄ÂÌËˇÏ εr=εs+ ζ3εs (1−ζ3)G◦r(β) , G◦r(β) = β2 2 ∫∞ 0 du (u+β)2(1 +u)1/2 .(11) »Á ‚ÚÓ ̊ı ‡‚ÂÌÒÚ‚ (10) Ë (11) ÒΉÛÂÚ, ̃ÚÓ Ú‡Í Ì‡Á ̊‚‡ÂÏ ̊ ÍÓ ̋ÙÙˈËÂÌÚ ̊ ‰ÂÔÓΡËÁ‡ˆËË G◦zËG◦rÁ‡‚ËÒˇÚ ÎË ̄ ̧ ÓÚ Ô‡‡ÏÂÚ‡β=br/bz. ¬ ̃‡ÒÚÌÓÏ ÒÎÛ ̃‡Âβ= 1‰Îˇ ̄‡Ó‚Ó„Ó ‚ÍÎ ̨ ̃ÂÌˡG◦z=G◦r= 1/3, ‡ ‚ Ó· ̆ÂÏ ÒÎÛ ̃‡ÂG◦z+ 2G◦r= 1. »ÌÚ„‡Î ̊ ‚ Û͇Á‡ÌÌ ̊ı ‡‚ÂÌÒÚ‚‡ı Ô‰ÒÚ‡‚ËÏ ̊ ‚ ̋ÎÂÏÂÌÚ‡Ì ̊ı ÙÛÌÍˆËˇı
    Exact
    [6,7,8,9]
    Suffix
    , ‚ ̃‡ÒÚÌÓÒÚË ‰Îˇ ÒÙÂÓˉ‡ (ÒÔÎ ̨ÒÌÛÚÓ„Ó ̋ÎÎËÔÒÓˉ‡ ‚‡ ̆ÂÌˡ) ÔËβ >1 G◦z(β) =β2 (β2−1)1/2−arctg(β2−1)1/2 (β2−1)3/2 . œË ‚ÓÁ‡ÒÚ‡ÌËËβÒÙÂÓˉ ÔË·ÎËʇÂÚÒˇ Í ÍÛ„ÎÓÈ Ô·ÒÚËÌÍÂ. ≈ÒÎË ‰ÓÔÛÒÚËÏÓ ÔÂÌ· ̃ ̧ ‰ËÌˈÂÈ ÔÓ Ò‡‚ÌÂÌË ̨ Òβ2, ÚÓG◦z≈1−(1/β)arctgβ≈1−(πβ/2−1)/β2. ƒÎˇ Û‰ÎËÌÂÌÌÓ„Ó ̋ÎÎËÔÒÓˉ‡ ‚‡ ̆ÂÌˡ ÔËβ <1 G◦z(β) =β2 arcrth(1−β2)1/2−(1−β2)1/2 (1−β2)3/2 . œË Û· ̊‚‡ÌËËβÚ‡ÍÓÈ ̋ÎÎËÔÒÓˉ ÔË·

10
Zarubin V.S., Kuvyrkin G.N., Savel'eva I.Yu. Estimating Electro-physical Properties of the Composite with Dielectric Matrix and Dispersed Conductive Inclusions.Vestnik MGTU im. N.E. Baumana. Ser. Priborostroenie=Herald of the Bauman Moscow State Technical University. Ser. Instrument Engineering, 2015, no. 3, pp. 50{64. DOI: 10.18698/0236-3933-2015-3-50-64(in Russian).
Total in-text references: 3
  1. In-text reference with the coordinate start=19606
    Prefix
    ÏÛÎËÓ‚ÍË Á‡‰‡ ̃Ë ̋ÎÂÍÚÓÒÚ‡ÚËÍË ‚ ÌÂÓ‰ÌÓÓ‰ÌÓÏ Ú‚Â‰ÓÏ ÚÂΠÏÓÊÌÓ ÔÓÒÚÓËÚ ̧ ‰‚ÛÒÚÓÓÌÌË „‡Ìˈ ̊ ‚ÓÁÏÓÊÌ ̊ı Á̇ ̃ÂÌËÈ ‰Ë ̋ÎÂÍÚË ̃ÂÒÍÓÈ ÔÓÌˈ‡ÂÏÓÒÚË ÍÓÏÔÓÁËÚ‡ ÔË ÛÔÓˇ‰Ó ̃ÂÌÌÓÏ ‡ÒÔÓÎÓÊÂÌËË ̋ÎÎËÔÒÓˉ‡Î ̧Ì ̊ı ‚ÍÎ ̨ ̃ÂÌËÈ, ÍÓ„‰‡ ÓÒË ‚‡ ̆ÂÌˡ ‚ÒÂı ̋Í‚Ë‚‡ÎÂÌÚÌ ̊ı ‚ÍÎ ̨ ̃ÂÌËÈ Ô‡‡ÎÎÂÎ ̧Ì ̊. Œ·Î‡ÒÚ ̧V, Á‡ÌˇÚÛ ̨ ÍÓÏÔÓÁËÚÓÏ, ‚ ̊·ÂÂÏ ‚ ‚ˉ ÔˇÏÓ„Ó ˆËÎË̉‡ ‚ ̊ÒÓÚÓÈHÒ ÔÎÓ ̆‡‰ ̧ ̨FÓÒÌÓ‚‡ÌËÈ S0ËSH
    Exact
    [5,10]
    Suffix
    . ¡ÓÍÓ‚Û ̨ ÔÓ‚ÂıÌÓÒÚ ̧S∗ˆËÎË̉‡ ‚ ÚÓ ͇̃ıN∈S∗ÔËÏÂÏ ̋ÎÂÍÚÓËÁÓÎËÓ‚‡ÌÌÓÈ, ̇ Ó‰ÌÓÏ ËÁ ÓÒÌÓ‚‡ÌËÈ Á‡‰‡‰ËÏ ̋ÎÂÍÚË ̃ÂÒÍËÈ ÔÓÚÂ̈ˇÎU=UH, ‡ ̇ ‰Û„ÓÏ | U= 0. —̇ ̃‡Î‡ ‡ÒÒÏÓÚËÏ ‚‡ˇÌÚ ‡ÒÔÓÎÓÊÂÌˡ ‚ÍÎ ̨ ̃ÂÌËÈ ‚ ӷ·ÒÚËV, ÍÓ„‰‡ Ëı ÓÒË ‚‡ ̆ÂÌˡ ÔÂÔẨËÍÛΡÌ ̊ ÓÒÌÓ‚‡ÌËˇÏ ˆËÎË̉‡. œË ̋ÚÓÏ ‰Ë ̋ÎÂÍÚË ̃ÂÒ͇ˇ ÔÓÌˈ‡ÂÏÓÒÚ ̧ ε(M)·Û‰ÂÚ Á‡‚ËÒÂÚ ̧ ÓÚ ÔÓÎÓÊÂÌˡ ÚÓ ̃ÍËM∈V, Ú.

  2. In-text reference with the coordinate start=20221
    Prefix
    ·Û‰ÂÚ ÔËÌËÏ‡Ú ̧ Á̇ ̃ÂÌËÂεz, ÂÒÎË ̋Ú‡ ÚÓ ͇̃ ÔË̇‰ÎÂÊËÚ ̋Í‚Ë‚‡ÎÂÌÚÌÓÏÛ ‚ÍÎ ̨ ̃ÂÌË ̨, ËÎË Á̇ ̃ÂÌËÂεm, ÍÓ„‰‡ Ó̇ ÔË̇‰ÎÂÊËÚ Ï‡ÚˈÂ. »ÒÚËÌÌÓ ‡ÒÔ‰ÂÎÂÌËÂU∗(M) ̋ÎÂÍÚË ̃ÂÒÍÓ„Ó ÔÓÚÂ̈ˇ· ‚ ‚ ̊·‡ÌÌÓÈ Ó·Î‡ÒÚË ÏËÌËÏËÁËÛÂÚ ÙÛÌ͈ËÓ̇Î
    Exact
    [10,11]
    Suffix
    J[U] = 1 2 ∫ V ε(M)(∇U(M))2dV(M),(17) „‰Â∇| ‰ËÙÙÂÂ̈ˇΠ̧Ì ̊È ÓÔÂ‡ÚÓ √‡ÏËÎ ̧ÚÓ̇. ›ÚÓÚ ÙÛÌ͈ËÓ̇Π‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ ̇ ‡ÒÔ‰ÂÎÂÌˡıU(M),M∈V, Û‰Ó‚ÎÂÚ‚Óˇ ̨ ̆Ëı ̇ ÓÒÌÓ‚‡Ìˡı ˆËÎË̉‡ Á‡‰‡ÌÌ ̊Ï ‚ ̊ ̄ „‡ÌË ̃Ì ̊Ï ÛÒÎÓ‚ËˇÏ Ë ÌÂÔÂ ̊‚Ì ̊ı ‚ Á‡ÏÍÌÛÚÓÈ Ó·Î‡ÒÚËV=V∪S, ‡ ‚ ÓÚÍ ̊ÚÓÈ Ó·Î‡ÒÚËVËÏ ̨ ̆Ëı ÍÛÒÓ ̃ÌÓ ÌÂÔÂ ̊‚Ì ̊ ÔÓËÁ‚Ó‰Ì ̊Â.

  3. In-text reference with the coordinate start=20687
    Prefix
    ›ÚÓÚ ÙÛÌ͈ËÓ̇Π‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ ̇ ‡ÒÔ‰ÂÎÂÌˡıU(M),M∈V, Û‰Ó‚ÎÂÚ‚Óˇ ̨ ̆Ëı ̇ ÓÒÌÓ‚‡Ìˡı ˆËÎË̉‡ Á‡‰‡ÌÌ ̊Ï ‚ ̊ ̄ „‡ÌË ̃Ì ̊Ï ÛÒÎÓ‚ËˇÏ Ë ÌÂÔÂ ̊‚Ì ̊ı ‚ Á‡ÏÍÌÛÚÓÈ Ó·Î‡ÒÚËV=V∪S, ‡ ‚ ÓÚÍ ̊ÚÓÈ Ó·Î‡ÒÚËVËÏ ̨ ̆Ëı ÍÛÒÓ ̃ÌÓ ÌÂÔÂ ̊‚Ì ̊ ÔÓËÁ‚Ó‰Ì ̊Â. ¿Î ̧ÚÂ̇ÚË‚Ì ̊Ï ÔÓ ÓÚÌÓ ̄ÂÌË ̨ Í ÙÛÌ͈ËÓ̇ÎÛ (17) ˇ‚ΡÂÚÒˇ χÍÒËÏËÁËÛÂÏ ̊È ÙÛÌ͈ËÓ̇Î
    Exact
    [10]
    Suffix
    I[D] =− 1 2 ∫ V (D(M))2 ε(M) dV(M)−UH ∫ SH D(N)·n(N)dS(N),(18) ‰ÓÔÛÒ͇ ̨ ̆ËÈ ‡ÒÒÏÓÚÂÌË ̇ ÌÂÔÂ ̊‚Ì ̊ı ‡ÒÔ‰ÂÎÂÌˡı ‚ÂÍÚÓ‡D(M)(M∈V) ̋ÎÂÍÚË ̃ÂÒÍÓ„Ó ÒÏ ̆ÂÌˡ ( ̋ÎÂÍÚË ̃ÂÒÍÓÈ Ë̉Û͈ËË), Û‰Ó‚ÎÂÚ‚Óˇ ̨ ̆Ëı ‰ÓÔÓÎÌËÚÂÎ ̧Ì ̊Ï ÛÒÎӂˡÏ∇·D(M) = 0(M∈V) ËD(N)·n(N) = 0,N∈S∗.

11
Zarubin V.S., Kuvyrkin G.N., Pugachev O.V.Variational approach for estimating permittivity of composite with dispersible inclusions.Matematika i matematicheskoe modelirovanie=Mathematics and mathematical modelling, 2015, no. 2, pp. 37{49. DOI: 10.7463/mathm.0215.0769483(in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=20221
    Prefix
    ·Û‰ÂÚ ÔËÌËÏ‡Ú ̧ Á̇ ̃ÂÌËÂεz, ÂÒÎË ̋Ú‡ ÚÓ ͇̃ ÔË̇‰ÎÂÊËÚ ̋Í‚Ë‚‡ÎÂÌÚÌÓÏÛ ‚ÍÎ ̨ ̃ÂÌË ̨, ËÎË Á̇ ̃ÂÌËÂεm, ÍÓ„‰‡ Ó̇ ÔË̇‰ÎÂÊËÚ Ï‡ÚˈÂ. »ÒÚËÌÌÓ ‡ÒÔ‰ÂÎÂÌËÂU∗(M) ̋ÎÂÍÚË ̃ÂÒÍÓ„Ó ÔÓÚÂ̈ˇ· ‚ ‚ ̊·‡ÌÌÓÈ Ó·Î‡ÒÚË ÏËÌËÏËÁËÛÂÚ ÙÛÌ͈ËÓ̇Î
    Exact
    [10,11]
    Suffix
    J[U] = 1 2 ∫ V ε(M)(∇U(M))2dV(M),(17) „‰Â∇| ‰ËÙÙÂÂ̈ˇΠ̧Ì ̊È ÓÔÂ‡ÚÓ √‡ÏËÎ ̧ÚÓ̇. ›ÚÓÚ ÙÛÌ͈ËÓ̇Π‰ÓÔÛÒÚËÏÓ ‡ÒÒχÚË‚‡Ú ̧ ̇ ‡ÒÔ‰ÂÎÂÌˡıU(M),M∈V, Û‰Ó‚ÎÂÚ‚Óˇ ̨ ̆Ëı ̇ ÓÒÌÓ‚‡Ìˡı ˆËÎË̉‡ Á‡‰‡ÌÌ ̊Ï ‚ ̊ ̄ „‡ÌË ̃Ì ̊Ï ÛÒÎÓ‚ËˇÏ Ë ÌÂÔÂ ̊‚Ì ̊ı ‚ Á‡ÏÍÌÛÚÓÈ Ó·Î‡ÒÚËV=V∪S, ‡ ‚ ÓÚÍ ̊ÚÓÈ Ó·Î‡ÒÚËVËÏ ̨ ̆Ëı ÍÛÒÓ ̃ÌÓ ÌÂÔÂ ̊‚Ì ̊ ÔÓËÁ‚Ó‰Ì ̊Â.

12
Golovin N.N., Zarubin V.S., Kuvyrkin G.N. Mixture models of composite mechanics P.1. Thermal mechanics and thermoelasticity of multicomponent mixture.Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki=Herald of the Bauman Moscow State Technical University. Ser. Natural Sciences, 2009, no. 3, pp. 36{49. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=23109
    Prefix
    ̃ÂÌËÈ Ô‡‡ÎÎÂÎ ̧ÌÓ ÓÒÌÓ‚‡ÌËˇÏ ˆËÎË̉‡ Ô˂‰ÂÚ Í Ë‰ÂÌÚË ̃ÌÓÈ ÙÓÏÛΠ‰Îˇ ‰‚ÛÒÚÓÓÌÌËı „‡Ìˈε+rËε−r ̋ÙÙÂÍÚË‚ÌÓ„Ó Á̇ ̃ÂÌˡε∗r‰Ë ̋ÎÂÍÚË ̃ÂÒÍÓÈ ÔÓÌˈ‡ÂÏÓÒÚË ÍÓÏÔÓÁËÚ‡ ‚ ̇Ô‡‚ÎÂÌËË, ÔÂÂỔËÍÛΡÌÓÏ ÓËÂÌÚ‡ˆËË ÓÒÂÈ ‚‡ ̆ÂÌˡ ̋Í‚Ë‚‡ÎÂÌÚÌ ̊ı ‚ÍÎ ̨ ̃ÂÌËÈ: ε+r= (1−CV)εm+CVεr>ε∗r> 1 (1−CV)/εm+CV/εr =ε−r,(22) ŒÚÏÂÚËÏ, ̃ÚÓ ‡‚ÂÌÒÚ‚‡ ‰Îˇε+zËε+rÒÓ‚Ô‡‰‡ ̨Ú Ò ÙÓÏÛÎÓÈ, ÍÓÚÓ‡ˇ ÒΉÛÂÚ ËÁ ÚÂÓËË ÒÏÂÒÂÈ
    Exact
    [12]
    Suffix
    , ÌÓ ‚ ÓÚÎË ̃Ë ÓÚ ËÒÔÓÎ ̧ÁÓ‚‡ÌÌÓ„Ó ‚ ̊ ̄ ‚‡ˇˆËÓÌÌÓ„Ó ÔÓ‰ıÓ‰‡ ̋Ú‡ ÚÂÓˡ Ì ‰‡ÂÚ ÓÒÌÓ‚‡ÌËÈ ÛÚ‚Âʉ‡Ú ̧, ̃ÚÓε+ˇ‚ΡÂÚÒˇ ‚ÂıÌÂÈ „‡ÌˈÂÈ ÔÓ ÓÚÌÓ ̄ÂÌË ̨ Í ËÒÚËÌÌ ̊Ï Á̇ ̃ÂÌËˇÏ ‰Ë ̋ÎÂÍÚË ̃ÂÒÍÓÈ ÔÓÌˈ‡ÂÏÓÒÚË.