Based on the choice of two physically meaningful strain measures, we study necessary and sufficient conditions for strong ellipticity of the equilibrium equations for twodimensional isotropic hyperelastic bodies. Specifically, we show, depending on the values of the derivatives of the energy function, that strong ellipticity is equivalent to a single condition with a clear physical interpretation.
A note on strong ellipticity in two-dimensional isotropic elasticity / DE TOMMASI, Domenico; Puglisi, Giuseppe; Zurlo, G.. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - 109:1(2012), pp. 67-74. [10.1007/s10659-011-9370-1]
A note on strong ellipticity in two-dimensional isotropic elasticity
DE TOMMASI, Domenico;PUGLISI, Giuseppe;
2012-01-01
Abstract
Based on the choice of two physically meaningful strain measures, we study necessary and sufficient conditions for strong ellipticity of the equilibrium equations for twodimensional isotropic hyperelastic bodies. Specifically, we show, depending on the values of the derivatives of the energy function, that strong ellipticity is equivalent to a single condition with a clear physical interpretation.File in questo prodotto:
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