A Rereading and a Mathematical Formulation of Deformations and Strains in Elasticity
Keywords:Deformations, strains, displacements, fundamental metric tensor, isotropic body, invariant of strains, potential energy density
In this paper, we study, using tensors and a rigorous mathematical formulation, elastic strains in Cartesian coordinates. We also generalize this study to curvilinear coordinates. We then apply the results obtained in thermodynamics and we study an example.
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