Stress intensity sensitivities via hypersingular boundary integral equations
type: Item
instance of: scholarly article
title: Stress intensity sensitivities via hypersingular boundary integral equations
zbMATH Open document ID: 0967.74075
author: Yanyan Li
published in: Computational Mechanics
publication date: 2001-08-30T00:00:00Z
review text: The paper deals with the derivation of weakly singular sensitivity boundary integral equations (BIE) and regularized hypersingular BIE for sensitivities. The authors utilize the fact that singularity is not increased by differentiation with respect to design parameters. Thus, differentiating the regularized BIE and/or HBIE, they obtain regularized integral equations for sensitivities without any additional regularization. The use of the HBIE is effective for some class of boundary value problems, e.g. crack problems, where the conventional BIE are insufficient for a unique formulation. The computation of sensitivities of a function is less expensive than the computation of values of this function, since the same coefficient matrix is utilized in both calculations. Having known the function values together with the derivative values, one can use Hermitian interpolation for an accurate construction of the dependence of solution on the design parameter. The derived sensitivity integral equations are employing in numerical examples concerning the stress intensity factor curves in dependence on the design parameter.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74R10
zbMATH DE Number: 1358537
zbMATH Keywords: regularized hypersingular boundary integral equation
zbMATH Keywords: weakly singular sensitivity boundary integral equations
zbMATH Keywords: singularity
zbMATH Keywords: Hermitian interpolation
zbMATH Keywords: design parameter
zbMATH Keywords: stress intensity factor curves
reviewed by: Vladimir Sladek
MaRDI profile type: Publication
full work available at URL: s004660050417
OpenAlex ID: W2011396859
DOI: 10.1007/S004660050417
description: scientific article; zbMATH DE number 1358537