TRANSIENT SOLUTIONS FOR ONE-DIMENSIONAL PROBLEMS WITH STRAIN SOFTENING.

T. Belytschko*, Xiao Jun Wang, Zdenek P Bazant, Y. Hyun

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

Closed-form solutions are presented for the transient response of rods in which strain softening occurs and the stress-strain laws exhibit nonvanishing stresses after the strain-softening regime. It is found that the appearance of any strain softening results in an infinite strain rate if the material is inviscid. For a stress-strain law with a monotonically decreasing stress the strains are infinite also. If the stress increases after the strain-softening portion, the strains remain finite and the strain-softening point moves through the rod.

Original languageEnglish (US)
JournalAmerican Society of Mechanical Engineers (Paper)
StatePublished - Dec 1 1987

ASJC Scopus subject areas

  • Mechanical Engineering

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