The Legendre-Hadamard condition in Cosserat elasticity theory
Milad Shirani, David J. Steigmann, Patrizio Neff
TL;DR
This paper derives the Legendre-Hadamard necessary condition for energy minimizers within the framework of Cosserat elasticity theory, providing insights into stability criteria for such materials.
Contribution
It introduces a derivation of the Legendre-Hadamard condition specifically tailored for Cosserat elasticity, extending classical results to this generalized continuum model.
Findings
Legendre-Hadamard condition established for Cosserat elasticity
Provides a criterion for stability of energy minimizers
Extends classical elasticity results to Cosserat models
Abstract
The Legendre-Hadamard necessary condition for energy minimizers is derived in the framework of Cosserat elasticity theory.
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