Arnaud de Gayffier , Germaine Nefussi , Pierre Gilormini
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Transformations cycliques planes en hypoélasticité
Hypo-elasticity is a basic constituent of elastoplasticity. It is considered here in the framework of plane cyclic deformation. The variations of the stress components are studied depending on the objective derivative employed. Their value remains bounded in the general case with the Jaumann derivative. In contrast, the Green-Naghdi derivative leads to a linear increase with the number of cycles.