A finite element formulation for transient analysis of viscoplastic solids with application to stress wave propagation problems

B. Moran*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

A brief note on a finite element formulation for the transient analysis of viscoplastic solids is presented. Attention is confined to small strains in the present discussion and the emphasis is on stress wave propagation problems. The algorithm is based on straightforward explicit integration of both the equations of motion and the plastic rate equations. The explicit central difference method, which appears suitable for wave propagation problems, is used for integration of the equation of motion. The stress update is accomplished by means of a forward gradient scheme based on an estimate of the plastic flow over a time increment (Peirce, Shih and Needleman, Comput. Struct. 18, 875-887, 1984). A number of simple numerical examples are presented to illustrate the method.

Original languageEnglish (US)
Pages (from-to)241-247
Number of pages7
JournalComputers and Structures
Volume27
Issue number2
DOIs
StatePublished - 1987
Externally publishedYes

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

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