| Abstract: |
| In this talk, we discuss the parabolic problem form the hardening phenomena. The unknown functions u and sigma describe the displacement and stress, respectively in the one-dimensional interval (0,L). Our problem means the hardening problem that the materials are harden by plasticity. That is derived from the hardening model by Visintin~(2006), and the perfect plasticity model by Duvaut-Lions~(1976). In the perfect plasticity model, the function that is threshold value in the plastic deformation, is a constant.
In this talk, we discuss the solvability for the above model with the threshold function depending upon time or unknown function, based on the idea of Duvaut-Lions~(1976).
The problem equipped with the constraint set depend on the unknown function, is called quasi-variational inequality. The solvabilities of quasi-variational inequality have been dealt with in some papers. |
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