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Journal Articles European Journal of Mechanics - A/Solids Year : 2023

Complete finite-strain isotropic thermo-elasticity

Abstract

This paper deals with finite strain isotropic thermo-elasticity without any specific Ansatz regarding the Helmholtz free energy. On the theoretical side, an Eulerian setting of isotropic thermo-elasticity is developed, based on the objective left Cauchy-Green tensor along with the Cauchy stress. The construction of the elastic model relies on a particular invariants choice of the strain measure. These invariants are built so that a succession of elementary experiments, in which the invariants evolve independently, ensures the complete identification of the Helmholtz free energy and thus of the thermo-elastic constitutive law. Expressions idealizing these experimental tests are proposed. A wide range of hyperelastic models are found to be a special case of the model proposed herein.
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Dates and versions

hal-04109554 , version 1 (30-05-2023)

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Paul Bouteiller. Complete finite-strain isotropic thermo-elasticity. European Journal of Mechanics - A/Solids, 2023, 100, pp.105017. ⟨10.1016/j.euromechsol.2023.105017⟩. ⟨hal-04109554⟩

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