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Sources of stresses in two half-spaces. (English. Russian original) Zbl 0561.73018
J. Appl. Math. Mech. 46, 205-209 (1983); translation from Prikl. Mat. Mekh. 46, 272-277 (1982).
A unique solution methodology for two versions of the problem of determining the displacement fields in two isotropic linearly elastic half-spaces, caused by a source of stresses, is presented. In these media the boundary conditions interrelate boundary values of different order derivatives of the displacements, a fact that distinguishes this work from the problem examined by V. N. Maksimovich and G. V. Plyatsko [Prikl. Mekh. 10, No.10, 70-77 (1974)]. The derived expressions for the displacements are given in terms of indefinite integrals of the gradients of the displacements produced by the stress source in an unbounded homogeneous medium. The paper is clearly written.
Reviewer: D.E.Panayotounakos
MSC:
74B99 Elastic materials
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