This article is cited in 3 papers

Using a smoothing averaging operator to evaluate macroscopic parameters in structurally inhomogeneous materials

A. L. Svistkov, S. E. Evlampieva

Institute of Mechanics of Continua, Ural Division, Russiand Academy of Sciences, Perm', 614013

Abstract: A smoothing averaging operator is used in passing from structural to macroscopic modeling of the stress–strained state of an article from a composite material taking into account finite strains. A model is constructed using an integral operator, in which the macroscopic laws of conservation of energy and mass and the equation of motion have the ordinary form used to describe processes in homogeneous materials. As an example, macroscopic parameters are evaluated in a system consisting of an ensemble of inclusions in an infinite matrix.

Keywords: integral operator, averaging, macroscopic parameters, structurally inhomogeneous materials.

UDC: 539.3

Received: 15.05.2002
Accepted: 23.01.2003

 English version: Journal of Applied Mechanics and Technical Physics, 2003, 44:5, 727–735

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