On the stress wave induced curving of fast running cracks -- a numerical study by a time-domain boundary element method
type: Item
instance of: scholarly article
title: On the stress wave induced curving of fast running cracks -- a numerical study by a time-domain boundary element method
zbMATH Open document ID: 0936.74059
DOI: 10.1007/BF01186959
author: Th. Seelig
author: D. Gross
published in: Acta Mechanica
publication date: 2000-05-25T00:00:00Z
review text: We investigate the fast crack propagation in dynamically loaded plane structures. The major point of interest is the evolution of crack trajectory under the influence of stress waves which are generated and repeatedly reflected at the specimen boundaries. Since these waves may lead to arbitrary mixed-mode and time-dependent loading of the crack tip, both the direction and speed of crack advance are determined from a fracture criterion. Starting point is a system of time-domain boundary integral equations which describes the initial boundary value problem of a linear elastic body containing an arbitrary growing crack. The unknown displacements and/or tractions on the exterior boundary and the displacement jumps across the crack are computed numerically by a collocation method in conjunction with a time-stepping scheme. Crack growth is then modelled by adding new boundary elements of constant length at the running crack tip.
Mathematics Subject Classification ID: 74R10
Mathematics Subject Classification ID: 74S15
zbMATH DE Number: 1287768
zbMATH Keywords: dynamically loaded plane structures
zbMATH Keywords: evolution of crack trajectory
zbMATH Keywords: stress waves
zbMATH Keywords: fracture criterion
zbMATH Keywords: time-domain boundary integral equations
zbMATH Keywords: linear elastic body
zbMATH Keywords: collocation method
zbMATH Keywords: time-stepping scheme
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01186959
OpenAlex ID: W2040331526
description: scientific article; zbMATH DE number 1287768