Conti, Sergio and Dolzmann, Georg (2021) Optimal laminates in single-slip elastoplasticity. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 14 (1). pp. 1-16. ISSN 1937-1632, 1937-1179
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Recent progress in the mathematical analysis of variational models for the plastic deformation of crystals in a geometrically nonlinear setting is discussed. The focus lies on the first time-step and on situations where only one slip system is active, in two spatial dimensions. The interplay of invariance under finite rotations and plastic deformation leads to the emergence of microstructures, which can be analyzed in the framework of relaxation theory using the theory of quasiconvexity. A class of elastoplastic energies with one active slip system that converge asymptotically to a model with rigid elasticity is presented and the interplay between relaxation and asymptotics is investigated.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CRYSTAL PLASTICITY; NUMERICAL-ANALYSIS; ENERGY MINIMIZATION; NEMATIC ELASTOMERS; RELAXATION; MICROSTRUCTURES; APPROXIMATION; DEFORMATION; FRAMEWORK; MODEL; Elastoplasticity; single slip; quasiconvexity; relaxation; optimal laminates |
| Subjects: | 500 Science > 500 Natural sciences & mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Jul 2022 08:06 |
| Last Modified: | 06 Jul 2022 08:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45814 |
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