Solutions to the quasistatic problem from the theory of inelastic deformations with linear growth condition. (English) Zbl 1297.74023
Summary: This paper refers to standard models in the theory of inelastic deformations. We assume that non-linear inelastic constitutive function is of monotone type, that the growth condition holds and that the model is quasistatic. Initial, generic problem is transformed into an evolution equation in a maximal monotone field. Then we find solutions with very low regularity requirements of the forces acting on a body.
MSC:
| 74C10 | Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) |
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