Dynamics of chains with non-monotone stress-strain relations. I. Model and numerical experiments

Alexander M. Balk, Andrej V. Cherkaev, Leonid I. Slepyan

Research output: Contribution to journalArticlepeer-review

70 Scopus citations

Abstract

We discuss dynamic processes in materials with non-monotonic constitutive relations. We introduce a model of a chain of masses joined by springs with a non-monotone strain-stress relation. Numerical experiments are conducted to find the dynamics of that chain under slow external excitation. We find that the dynamics leads either to a vibrating steady state (twinkling phase) with radiation of energy, or (if dissipation is introduced) to a hysteresis, rather than to an unique stress-strain dependence that would correspond to the energy minimization.

Original languageEnglish
Pages (from-to)131-148
Number of pages18
JournalJournal of the Mechanics and Physics of Solids
Volume49
Issue number1
DOIs
StatePublished - Jan 2001

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