Approximation of a laminated microstructure for a rotationally invariant,double well energy density |
| |
Authors: | Mitchell Luskin |
| |
Affiliation: | (1) School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA; e-mail: luskin@math.umn.edu, US |
| |
Abstract: | Summary. We give error estimates for the approximation of a laminated microstructure which minimizes the energy for a rotationally invariant, double well energy density . We present error estimates for the convergence of the deformation in the convergence of directional derivatives of the deformation in the “twin planes,” the weak convergence of the deformation gradient, the convergence of the microstructure (or Young measure) of the deformation gradients, and the convergence of nonlinear integrals of the deformation gradient. Received July 25, 1995 / Revised version received November 20, 1995 |
| |
Keywords: | Mathematics Subject Classification (1991):65N30 49M15 65C20 73C50 73G05 73K20 |
本文献已被 SpringerLink 等数据库收录! |
|