Variational Convergence for Nonlinear Shell Models with Directors and Related Semicontinuity and Relaxation Results
Abstract
We use a variational convergence method to study the consistency of various Cosserat hypotheses in shell theory with the limit nonlinear membrane model derived from three-dimensional elasticity. In the course of the analysis, we introduce a generalization of quasiconvexity that is suitable for problems of the calculus of variations with two vectorial unknowns, one of which appears through its gradient, the other one through its value, in a weak W1,p×Lp framework.
- Publication:
-
Archive for Rational Mechanics and Analysis
- Pub Date:
- 2000
- DOI:
- 10.1007/s002050000100
- Bibcode:
- 2000ArRMA.154..101L