A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor
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Abstract
A nonlinear Korn inequality based on the Green-Saint Venant strain tensor is proved, whenever the displacement is in the Sobolev space $W1,p$, $p\geq 2$, under Dirichlet conditions on a part of the boundary. The inequality can be useful in proving the coercivity of a nonlinear elastic energy.
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Research context
OpenAlex topics: Shape Memory Alloy Transformations · Elasticity and Material Modeling · Composite Structure Analysis and Optimization
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References (7)
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