A nonlinear Korn inequality based on the Green-Saint Venant strain tensor is proved, whenever the displacement is in the Sobolev space W^{1,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.
Musesti, A., A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor, <<JOURNAL OF ELASTICITY>>, 2016; 126 (1): 129-134. [doi:10.1007/s10659-016-9582-5] [http://hdl.handle.net/10807/90646]
A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor
MusestiPrimo
2016
Abstract
A nonlinear Korn inequality based on the Green-Saint Venant strain tensor is proved, whenever the displacement is in the Sobolev space W^{1,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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