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 language | English |
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Pages (from-to) | 131-148 |
Number of pages | 18 |
Journal | Journal of the Mechanics and Physics of Solids |
Volume | 49 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2001 |