On the development of thermodynamically consistent algorithms for thermomechanical frictional contact
type: Item
instance of: scholarly article
title: On the development of thermodynamically consistent algorithms for thermomechanical frictional contact
zbMATH Open document ID: 0992.74055
DOI: 10.1016/S0045-7825(98)00385-5
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2002-09-16T00:00:00Z
review text: In simulations of contact/impact phenomena using finite element techniques, spurious oscillations and/or numerical instabilities continue to pose considerable difficulty for many analysts. Recently, the combination of thermodynamically based stability estimates and energy-momentum numerical approaches has proven to be useful in developing effective, unconditionally stable algorithms for mechanical contact/impact in fully nonlinear regime. In this paper, these ideas are extended to coupled interface problems by developing a new a priori stability estimate for fully coupled thermomechanical contact problems in large deformations. The model framework encompasses inelastic heating and thermal softening within the contacting bodies, as well as frictional heating and thermal softening of coefficient of friction on sliding interfaces. Also, incorporated are pressure-dependent heat transfer across these interfaces, and a fully coupled treatment of conductive heat transfer occurring within the bodies. The obtained stability estimate can extend energy-momentum approaches to dissipative and thermally coupled phenomena, providing an unconditionally stable adiabatic splitting of coupled problems. The latter is shown to be useful in developing partitioned integration schemes for coupled equations of evolution.
reviewed by: Bingzheng Gai
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74M10
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74F05
zbMATH DE Number: 1436264
zbMATH Keywords: thermomechanical frictional contact
zbMATH Keywords: finite element method
zbMATH Keywords: energy-momentum method
zbMATH Keywords: thermodynamically based unconditionally stable algorithms
zbMATH Keywords: coupled interface problems
zbMATH Keywords: a priori stability estimate
zbMATH Keywords: large deformations
zbMATH Keywords: inelastic heating
zbMATH Keywords: thermal softening
zbMATH Keywords: frictional heating
zbMATH Keywords: pressure-dependent heat transfer
zbMATH Keywords: unconditionally stable adiabatic splitting
author: Tod A. Laursen
describes a project that uses: Meschach
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1436264