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

@inproceedings{BalkDynamicsOC,
  title={Dynamics of chains with non-monotone stress – strain relations . I . Model and numerical experiments},
  author={Alexander M. Balk and Andrej V. Cherkaev and Leonid I. Slepyan}
}
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… CONTINUE READING
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