On the coupled thermomechanical treatment of necking problems via finite element methods

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  • Technische Universität Darmstadt
  • Stanford University
  • Instytut Chemii Bioorganicznej Polskiej Akademii Nauk
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Original languageEnglish
Pages (from-to)869-883
Number of pages15
JournalInternational Journal for Numerical Methods in Engineering
Volume33
Issue number4
Publication statusPublished - 28 Feb 1992
Externally publishedYes

Abstract

The necking process of a bar in an uniaxial tension test is influenced by the heat production due to inelastic deformations. Thus, for an analysis of this problem the thermomechanical coupling has to be considered. A finite element model and an associated algorithm are developed for this purpose. This computational tool allows the study of adiabatic processes as well as processes with heat flux. The analysis of the necking process of a perfectly cylindrical specimen shows that, in contrast to isothermal and adiabatic cases, no bifurcation occurs in the case where heat flux is considered.

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On the coupled thermomechanical treatment of necking problems via finite element methods. / Wriggers, Peter; Miehe, C.; Simo, J. C. et al.
In: International Journal for Numerical Methods in Engineering, Vol. 33, No. 4, 28.02.1992, p. 869-883.

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