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ISSN Druckformat: 2152-2057
ISSN Online: 2152-2073
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METHOD OF SUCCESSIVE APPROXIMATIONS IN A STOCHASTIC BOUNDARY-VALUE PROBLEM IN THE ELASTICITY THEORY OF STRUCTURALLY HETEROGENEOUS MEDIA
ABSTRAKT
This work deals with a problem of calculation of micro stress and micro deformation in matrix composites with random inclusions over the volume. A stochastic structure of composites is described by a set of multipoint moment functions that are used for searching the statistical characteristics of deformation fields. The boundary-value problem is reduced to the integral differential equation relative to pulsations of displacements. The problem solution is searched in second approximation. Analytical expressions are obtained for calculation of statistical characteristics of stress and deformation fields, and numerical results of calculation of average quantities for a partial case of a macroheterogeneous stressed-strained state − pure shear − are presented.
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