Transient solutions for one-dimensional problems with strain softening

T. Belytschko, Xiao Jun Wang, Z. P. Bazant, Y. Hyun

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


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)
Pages (from-to)513-518
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Issue number3
StatePublished - Sep 1987

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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