Literature cited
A. S. Pipkin, “Finite deformations of ideal fibered composites,” Mekh. Komopozitn. Mater., No. 2, 138–143 (1978).
L. W. Morland, “Existence of solutions of plane traction problems for inextensible transversely isotropic elastic solids,” J. Austral. Math. Soc., Ser. B,19, No. 1 (1975).
Yu. A. Bogan, “On the second boundary value problem of elasticity theory for an essentially anisotropic plane with an elliptical hole,” Prikl. Mekh.,17, No. 9 (1981).
S. G. Leknitskii, Anisotropic Plates [in Russian], Gostekhizdat, Moscow (1947).
B. A. Shoikhet, “On existence theorems in the linear theory of shells,” Prikl. Mat. Mekh.,38, No. 3 (1974).
G. Duvaut and J.-L. Lions, Inequalities in Mechanics and Physics, Springer-Verlag, New York (1978).
R. Rostamian, “Internal constraints in linear elasticity,” J. Elast.,11, No. 1 (1981).
Yu. A. Bogan, “Some singularly perturbed boundary value problems for a transversely isotropic elastic cylinder,” in: Dynamics of a Deformable Solid, Vol. 66 [in Russian], Inst. of Geophy., Academy of Sciences of the USSR, Siberian Branch, Novosibirsk (1984).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 138–143, March–April, 1987.
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Bogan, Y.A. A Class of singularly perturbed boundary value problems in a two-dimensional elasticity theory. J Appl Mech Tech Phys 28, 290–295 (1987). https://doi.org/10.1007/BF00918736
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DOI: https://doi.org/10.1007/BF00918736