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The effect of a thin inclusion of high rigidity in an elastic body. (English) Zbl 0446.73014


MSC:

74E05 Inhomogeneity in solid mechanics
35R15 PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables)
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References:

[1] Caillerie, Sur le comportement limite d’une inclusion mince de grande rigidité, C. R. Acad. Sci. Paris (1978) · Zbl 0389.73016
[2] Ciarlet, A justification of the two-dimensional linear plate model, J. de Mécanique 18 (n{\(\deg\)}2) (1979)
[3] Duvaut, Les Inéquations en Mécanique et en Physique (1976)
[4] Landau, Théorie de l’Elasticité (1967)
[5] Necas, Les Méthodes Directes en Théorie des Equations Elliptiques (1967)
[6] Pham Huy, Phénomènes de transmission à travers des couches minces de conductivité élevée, J. Math. Anal. and Appl. 47 pp n{\(\deg\)}2– (1974)
[7] Simonenko, Electrostatic problems for non uniformal media. The case of a thin dielectric with a high dielectric constant. I and II, Differ. Equa. 10 pp 223– (1974)
[8] Differ. Equa. 11 pp 1398– (1975)
[9] Simonenko, Limit problem in thermal conductivity in a homogeneous medium, Siberian Math. J. 16 pp 991– (1975) · Zbl 0337.35038 · doi:10.1007/BF00967397
[10] Smirnov, A course of Higher Mathematics V (1964)
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