Conti, Sergio and Dolzmann, Georg (2016) Relaxation in crystal plasticity with three active slip systems. CONTINUUM MECHANICS AND THERMODYNAMICS, 28 (5). pp. 1477-1494. ISSN 0935-1175, 1432-0959
Full text not available from this repository. (Request a copy)Abstract
We study a variational model for finite crystal plasticity in the limit of rigid elasticity. We focus on the case of three distinct slip systems whose slip directions lie in one plane and are rotated by 120A degrees with respect to each other, with linear self-hardening and infinite latent hardening, in the sense that each material point has to deform in single slip. Under these conditions, plastic deformation is accompanied by the formation of fine-scale structures, in which activity along the different slip systems localizes in different areas. The quasiconvex envelope of the energy density, which describes the macroscopic material behavior, is determined in a regime from small up to intermediate strains, and upper and lower bounds are provided for large strains. Finally sufficient conditions are given under which the lamination convex envelope of an extended-valued energy density is an upper bound for its quasiconvex envelope.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NEMATIC ELASTOMERS; MATERIAL INSTABILITIES; ENERGY MINIMIZATION; EFFECTIVE BEHAVIOR; SINGLE-CRYSTALS; FINITE STRAINS; MICROSTRUCTURES; DEFORMATION; MODEL; DIMENSIONS; Single-slip plasticity; Relaxation; Quasiconvexity |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Apr 2019 12:59 |
| Last Modified: | 04 Apr 2019 12:59 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3410 |
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