Duality relations for nonlinear incompressible two-dimensional elasticity
Published online by Cambridge University Press: 11 July 2007
Abstract
Keller's phase-interchange relation, which computes the overall conductivity of a two-dimensional checkerboard with alternating conductivity, is revisited in the context of nonlinear incompressible elasticity. A general phase-interchange relation is obtained in a monotone setting through H-convergence and in a convex setting through variational methods. Several Keller-like applications are presented.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 2 , April 2001 , pp. 351 - 369
- Copyright
- Copyright © Royal Society of Edinburgh 2001
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