Plane stress polycrystal plasticity as a limiting case of the power-law model via \(\Gamma\)-convergence. (English) Zbl 1182.35008
Summary: A model problem in polycrystal plasticity involving plane stress is considered. A variational principle which characterizes the yield set of the polycrystal is obtained as a limiting case of variational principles associated to a class of power-law functionals, via \(\Gamma\)-convergence.
MSC:
| 35A15 | Variational methods applied to PDEs |
| 35J70 | Degenerate elliptic equations |
| 49K20 | Optimality conditions for problems involving partial differential equations |
| 49S05 | Variational principles of physics |
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
| 74C99 | Plastic materials, materials of stress-rate and internal-variable type |
