Stochastic functional expansion in elasticity of heterogeneous solids
type: Item
instance of: scholarly article
title: Stochastic functional expansion in elasticity of heterogeneous solids
zbMATH Open document ID: 0592.73002
DOI: 10.1016/0020-7683(85)90004-6
author: C. I. Christov
author: Konstantin Z. Markov
published in: International Journal of Solids and Structures
publication date: 1985-01-01T00:00:00Z
review text: The Volterra-Wiener functional expansion is used to derive the elastic properties of random heterogeneous solids (elastic spheres as filler in an elastic matrix). An infinite set of equations is derived for the kernels in the integral expansion. The expansion is virial and truncating after the n-th equation gives statistical averages for the elastic properties correct to the n-th power of the sphere-filler volume concentration. Kernels for the first and second approximations are derived and related exactly and approximately (resp.) to the inclusion of one and two spheres in the matrix.
Mathematics Subject Classification ID: 74A40
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 82D30
zbMATH DE Number: 3952084
zbMATH Keywords: Volterra-Wiener functional expansion
zbMATH Keywords: elastic properties
zbMATH Keywords: heterogeneous solids
zbMATH Keywords: sphere-filler volume concentration
zbMATH Keywords: Kernels for the first and second approximations
MaRDI profile type: Publication
full work available at URL: 0020-7683(85)90004-6
OpenAlex ID: W2061807741
description: scientific article; zbMATH DE number 3952084