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arXiv · 2103.09521

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

Boris Kolev·Rodrigue Desmorat
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Abstract

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 Poincar{\'e}'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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Boris Kolev, Rodrigue Desmorat. 2021-03-17. An intrinsic geometric formulation of Hyper-elasticity, pressure potential and non-holonomic constraints. https://doi.org/0.1007/s10659-021-09853-5

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