Reduction of elasticity theory boundary problems for inhomogeneous media to sets of integral equations

Autor:	G. P. Kovalenko
Rok vydání:	1994
Předmět:	Statistics and Probability Partial differential equation Laplace transform Integro-differential equation Independent equation Applied Mathematics General Mathematics Mathematical analysis Boundary problem Separation of variables Boundary (topology) Integral equation Mathematics
Zdroj:	Journal of Mathematical Sciences. 68:642-644
ISSN:	1573-8795
DOI:	10.1007/bf01249396
Popis:	The boundary problem of elasticity theory in stresses or displacements for materials which are continuously inhomogeneous along one coordinate is reduced by means of Laplace and Helmholtz equations to a set of four integro-differential equations, two of which are singular. Each of the equations contains integrals for the contour of the transverse section of a body which is assumed to be piecewise-smooth, and integrals for a region coincident with the section of the body.
Databáze:	OpenAIRE
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