| Abstract: |
| In this talk, we discuss the well-posedness of a plasticity model with hardening phenomena described by a quasi-variational inequality.
The prototype model of perfect plasticity is introduced by Duvau-Lions. The essential idea of this model is widely used to various studies. It is characterized by the constraint for the deviatoric part of the stress tensor. The threshold of the constraint plays an important role. In the case when the threshold depends on time or some unknown, then the model represents more realistic phenomena. In this study, we consider the case when the threshold depends on the unknown strain, in other words, in the history dependent situation.
The system is treated by the evolution equation governed by the time-dependent subdifferential, close to the Moreau sweeping process. Applying the abstract theory of evolution equation, we can obtain a well-posedeness result.
This talk is based on joint work with Risei Kano (Kochi University), and Takeshi Fukao (Kyoto University of Education). |
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