Numerical method for elastic-plastic waves in cracked solids. I: Anti- plane shear problem
type: Item
instance of: scholarly article
title: Numerical method for elastic-plastic waves in cracked solids. I: Anti- plane shear problem
zbMATH Open document ID: 0774.73079
DOI: 10.1007/BF00793893
published in: Archive of Applied Mechanics
publication date: 1993-09-07T00:00:00Z
review text: The paper deals with a numerical method combining a characteristic-based scheme and Zwas' method in order to solve the hyperbolic PDE's of elastic-plastic anti-plane shear waves in two space dimensions. First, the need of new physically reasonable numerical methods for stress waves in solids is demonstrated by numerical applications to problems with impulsive loading, where defects of some standard methods are shown. Then, the new second-order accurate method is derived. For comparison with numerical results, a similarity solution for the semi-infinite crack undergoing an elastic-plastic shock loading is derived in the appendix.
Mathematics Subject Classification ID: 74S20
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74R99
zbMATH DE Number: 409654
zbMATH Keywords: characteristic-based scheme
zbMATH Keywords: Zwas' method
zbMATH Keywords: stress waves
zbMATH Keywords: impulsive loading
zbMATH Keywords: similarity solution
zbMATH Keywords: semi-infinite crack
zbMATH Keywords: elastic-plastic shock loading
author: Xiao Lin
author: J. Ballmann
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00793893
OpenAlex ID: W123035072
description: scientific article; zbMATH DE number 409654