A nonlinear Korn inequality based on the Green-Saint Venant strain tensor
Abstract
A nonlinear Korn inequality based on the Green-Saint Venant strain tensor is proved, whenever the displacement is in the Sobolev space W1,p, p≥ 2, under Dirichlet conditions on a part of the boundary. The inequality can be useful in proving the coercivity of a nonlinear elastic energy.
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