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The Legendre–Hadamard condition in Cosserat elasticity theory

Milad Shirani, David J. Steigmann, Patrizio Neff

2020The Quarterly Journal of Mechanics and Applied Mathematics19 citationsDOIOpen Access PDF

Abstract

Summary The Legendre–Hadamard necessary condition for energy minimizers is derived in the framework of Cosserat elasticity theory.

Topics & Concepts

Legendre polynomialsHadamard transformElasticity (physics)Legendre transformationMathematicsMathematical analysisClassical mechanicsPhysicsThermodynamicsNonlocal and gradient elasticity in micro/nano structuresThermoelastic and Magnetoelastic PhenomenaComposite Material Mechanics