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Composites: Mechanics, Computations, Applications: An International Journal
ESCI SJR: 0.354 SNIP: 0.655 CiteScore™: 1.2

ISSN Печать: 2152-2057
ISSN Онлайн: 2152-2073

Composites: Mechanics, Computations, Applications: An International Journal

DOI: 10.1615/CompMechComputApplIntJ.v2.i1.20
pages 21-37

METHOD OF SUCCESSIVE APPROXIMATIONS IN A STOCHASTIC BOUNDARY-VALUE PROBLEM IN THE ELASTICITY THEORY OF STRUCTURALLY HETEROGENEOUS MEDIA

M. A. Tashkinov
Perm State Technical University, Perm, Russian Federation
V. E. Vil'deman
Perm State Technical University, Perm
N. V. Mikhailova
Perm State Technical University, Perm, Russian Federation

Краткое описание

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.

ЛИТЕРАТУРА

  1. Lifshits, I. M. and Rosentsveig, L. N., On the theory of elastic properties of polycrystals.

  2. Shermergor, T. D., Elasticity Theory of Microheterogeneous Materials.

  3. Sokolkin, Yu. V. and Tashkinov, A. A., Mechanics of Deformation and Destruction of Structurally Heterogeneous Boodies.

  4. Vildeman, V. E., Sokolkin, Yu. V., and Tashkinov, A. A., Mechanics of Inelastic Deformation and Destruction of Composite Materials.

  5. Volkov, S. D. and Stavrov, V. P., Statistical Mechanics of Composite Materials.


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