Dynamic elastic-plastic analysis by a symmetric Galerkin boundary element method with time-independent kernels
type: Item
instance of: scholarly article
title: Dynamic elastic-plastic analysis by a symmetric Galerkin boundary element method with time-independent kernels
zbMATH Open document ID: 0982.74077
DOI: 10.1016/S0045-7825(98)00217-5
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2002-04-15T00:00:00Z
review text: The authors present a symmetric Galerkin boundary element method (SGBEM) for solution of dynamic boundary value problems in elasto-plastic analysis with using elastostatic kernels (derived from the time-independent Kelvin solutions for unbounded spaces). As compared with a collocation BEM approach, the number of integrations is doubled in the Galerkin approach. However, only double integrations are required instead of quadruple ones required by the SGBEM in elastodynamics with time-dependent kernels. On the other hand, domain integrals of inertia terms appear, and a time-integration scheme is to be employed in the proposed formulation. Both the boundary and domain integrals are regularized independently of discretization and/or interpolation. Assuming space discretization as well as an appropriate time-step formulation, the authors propose an iterative algorithm and study its convergence and algorithmic stability. Finally, two numerical comparative tests are given.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74C05
Mathematics Subject Classification ID: 74H15
zbMATH DE Number: 1399398
zbMATH Keywords: regularization
zbMATH Keywords: symmetric Galerkin boundary element method
zbMATH Keywords: dynamic boundary value problems
zbMATH Keywords: elasto-plastic analysis
zbMATH Keywords: elastostatic kernels
zbMATH Keywords: double integration
zbMATH Keywords: inertia term
zbMATH Keywords: time-integration
zbMATH Keywords: time-step formulation
zbMATH Keywords: iterative algorithm
zbMATH Keywords: convergence
zbMATH Keywords: algorithmic stability
author: A. Frangi
author: G. Maier
reviewed by: Vladimir Sladek
MaRDI profile type: Publication
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full work available at URL: s0045-7825(98)00217-5
OpenAlex ID: W2016995968
description: scientific article; zbMATH DE number 1399398