An inverse problem method for crack detection in viscoelastic materials under anti-plane strain
type: Item
instance of: scholarly article
title: An inverse problem method for crack detection in viscoelastic materials under anti-plane strain
zbMATH Open document ID: 0914.73041
DOI: 10.1016/S0020-7225(97)00025-6
published in: International Journal of Engineering Science
publication date: 1999-06-21T00:00:00Z
review text: We study the problem of crack detection in viscoelastic materials under antiplane strain. The shape of the crack can be determined provided that the history of displacements along the boundary is known until the time \(t\), and the shear stress is known along the boundary at the time \(t\). The problem is ill-posed, and the ill-posedness is reflected in the difficulty of evaluating some of the integrals. A numerical example is shown where the integrals are calculated by using adaptive integration techniques.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74D99
zbMATH DE Number: 1162212
zbMATH Keywords: history of displacements
zbMATH Keywords: shear stress
zbMATH Keywords: ill-posedness
zbMATH Keywords: adaptive integration techniques
author: C. Atkinson
author: Nairo D. Aparicio
MaRDI profile type: Publication
cites work: Plane dynamic crack propagation in a nonhomogeneous viscoelastic strip
cites work: A boundary integral equation method for an inverse problem related to crack detection
cites work: The boundary inverse problem for the Laplace equation in two dimensions
cites work: Q4858073
Wikidata QID: Q127554260
full work available at URL: s0020-7225(97)00025-6
OpenAlex ID: W4240718676
description: scientific article; zbMATH DE number 1162212