Stability and imperfections in quasistatic wiscopiastic solutions

T. Belytschko, Brian Moran, M. Kulkarni

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The effect of imperfections on the structure of shear bands in strain-softening viscoplasticity is studied via a closed form solution. The stability of various solutions is then examined by varying the data through imperfections. It is shown that a step-function imperfection, such as commonly used in finite element solutions, leads to a step-function shear strain field, which is an unstable solution. Arbitrary C0 and C1 imperfections lead to C0> and C1 strain fields, respectively. Fourier analyses show that the imperfection scales the response of the viscoplastic material: the Fourier spectrum of the strain field is strongly influenced by the Fourier spectrum of the imperfection.

Original languageEnglish (US)
Pages (from-to)S251-S255
JournalApplied Mechanics Reviews
Volume43
Issue number5
DOIs
StatePublished - Jan 1 1990

ASJC Scopus subject areas

  • Mechanical Engineering

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