A nonlinear Korn inequality based on the Green-Saint Venant strain tensor

Alessandro Musesti

doi:10.1007/s10659-016-9582-5

paper

A nonlinear Korn inequality based on the Green-Saint Venant strain tensor

arXiv:1605.06964 · doi:10.1007/s10659-016-9582-5

Abstract

A nonlinear Korn inequality based on the Green-Saint Venant strain tensor is proved, whenever the displacement is in the Sobolev space $W^{1, p}$ , $p \geq 2$ , under Dirichlet conditions on a part of the boundary. The inequality can be useful in proving the coercivity of a nonlinear elastic energy.