We introduce a model of dynamic visco-elasto-plastic evolution in the linearly elastic regime and prove an existence and uniqueness result. Then we study the limit of (a rescaled version of) the solutions when the data vary slowly. We prove that they converge, up to a subsequence, to a quasistatic evolution in perfect plasticity.
Dal Maso, G., Scala, R. (2014). Quasistatic evolution in perfect plasticity as limit of dynamic processes. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 26(4), 915-954 [10.1007/s10884-014-9409-7].
Quasistatic evolution in perfect plasticity as limit of dynamic processes
Scala R.
2014-01-01
Abstract
We introduce a model of dynamic visco-elasto-plastic evolution in the linearly elastic regime and prove an existence and uniqueness result. Then we study the limit of (a rescaled version of) the solutions when the data vary slowly. We prove that they converge, up to a subsequence, to a quasistatic evolution in perfect plasticity.
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https://hdl.handle.net/11365/1087336