This article is cited in 1 paper

Mechanics of Solids

Multipoint moment functions of structural properties for polydisperse composites

M. A. Tashkinov

Dept. of Mechanics of Composition Materials and Structures, Perm State Technical University, Perm

Abstract: The stochastic boundary-value problem of elasticity theory for two-phase polydisperse composites is stated. The solution method with using high order moment functions is described. Algorithm of synthesis of $n$-order moment functions for 3D structures is presented. Approximating expression for moment functions is suggested. Examples of calculation of high-order moment functions for polydisperse structures are given.

Keywords: composites, moment functions, random polydisperse structure, 3D models, boundary-value problem, approximation.

UDC: 539.3

MSC: 74A40, 74B20

Original article submitted 25/III/2011
revision submitted – 16/V/2011

DOI: 10.14498/vsgtu942

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