Article Dans Une Revue Journal of Elasticity Année : 2021

An intrinsic geometric formulation of Hyper-elasticity, pressure potential and non-holonomic constraints

Résumé

Isotropic hyper-elasticity, altogether with the equilibrium equation and the usual boundary conditions, are formulated directly on the body B, a three-dimensional compact and orientable manifold with boundary equipped with a mass measure. Pearson-Sewell-Beatty pressure potential is formulated in an intrinsic geometric manner. It is shown that Poincaré's formula extended to infinite dimension, provides, in a straightforward manner, the optimal (non-holonomic) constraints for such a pressure potential to exist.

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Dates et versions

hal-03168412 , version 1 (13-03-2021)
hal-03168412 , version 2 (27-08-2021)

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Boris Kolev, Rodrigue Desmorat. An intrinsic geometric formulation of Hyper-elasticity, pressure potential and non-holonomic constraints. Journal of Elasticity, 2021, 146 (1), pp.29--63. ⟨10.1007/s10659-021-09853-5⟩. ⟨hal-03168412v2⟩
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