Stochastic boundary elements in elastostatics
type: Item
instance of: scholarly article
title: Stochastic boundary elements in elastostatics
zbMATH Open document ID: 0846.73078
DOI: 10.1016/0045-7825(93)90081-8
author: Igor Kaljević
author: Sunil Saigal
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-09-23T00:00:00Z
review text: A stochastic boundary element formulation for the treatment of boundary value problems in two-dimensional elastostatics that involve a random operator is presented. A general perturbation procedure is formulated for the set of correlated random variables governing the response of the solid. This procedure is then specialized for the cases of (a) random geometry, and (b) random material properties. The problems involving a random configuration are analyzed using the random variable model, and those with a random material property are analyzed using the random field model. Quadratic conforming boundary elements are employed in the boundary element discretization, and the strongly singular terms of the boundary element matrices and their first- and second-order derivatives are obtained using the conditions associated with rigid body motions of the solid.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 874024
zbMATH Keywords: quadratic conforming boundary elements
zbMATH Keywords: boundary value problems
zbMATH Keywords: random operator
zbMATH Keywords: perturbation procedure
zbMATH Keywords: random geometry
zbMATH Keywords: random material properties
zbMATH Keywords: singular terms
MaRDI profile type: Publication
full work available at URL: 0045-7825(93)90081-8
OpenAlex ID: W2092170780
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description: scientific article; zbMATH DE number 874024