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KIAM Preprint  56, Moscow, 2018
Authors: Zveryayev E.M., Kovalenko M.D., Menshova I.V., Kerzhaev A.P.
On theory of elasticity boundary value problems properties of exact solutions in a half-strip and their application to theory of residual stresses in rocks
A solution of the first basic odd-symmetric boundary value problem in the theory of elasticity in a half-strip with free longitudinal sides is constructed. It is represented as series in PapkovichFadle eigenfunctions whose coefficients are found in an explicit form by using the biorthogonal to the Papkovich-Fadle eigenfunctions. The solution describes the residual stresses in an infinite strip with zero boundary conditions on its sides and the displacements arising when residual stresses are released, as a result of the formation of a rock rupture.
half-strip, Papkovich-Fadle eigenfunctions, exact solutions, residual stresses, rocks
Publication language: russian,  pages: 28
Research direction:
Mathematical modelling in actual problems of science and technics
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