Albin, Nathan and Conti, Sergio and Dolzmann, Georg (2009) Infinite-order laminates in a model in crystal plasticity. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 139. pp. 685-708. ISSN 0308-2105,
Full text not available from this repository.Abstract
We consider a geometrically nonlinear model for crystal plasticity in two dimensions, with two active slip systems and rigid elasticity. We prove that the rank-1 convex envelope of the condensed energy density is obtained by infinite-order laminates, and express it explicitly via the (2)F(1) hypergeometric function. We also determine the polyconvex envelope, leading to upper and lower bounds to the quasiconvex envelope. The two bounds differ by less than 2%.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | STORED ENERGY FUNCTION; VARIATIONAL-PROBLEMS; OPTIMAL-DESIGN; CONVEX-FUNCTIONS; SINGLE-CRYSTALS; RELAXATION; MICROSTRUCTURES; MINIMIZATION; REGULARITY; CONJECTURE; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Oct 2020 04:53 |
| Last Modified: | 14 Oct 2020 04:53 |
| URI: | https://pred.uni-regensburg.de/id/eprint/29869 |
Actions (login required)
 |
View Item |
