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- W2078133742 abstract "Let ω be a domain in R2. The classical approach to the Neumann problem for a nonlinearly elastic plate consists in seeking a displacement field η=(ηi)∈V(ω)=H1(ω)×H1(ω)×H2(ω) that minimizes a non-quadratic functional over V(ω). We show that this problem can be recast as a minimization problem in terms of the new unknowns Eαβ=12(∂αηβ+∂βηα+∂αη3∂βη3)∈L2(ω) and Fαβ=∂αβη3∈L2(ω) and that this problem has a solution in a manifold of symmetric matrices E=(Eαβ) and F=(Fαβ) whose components Eαβ∈L2(ω) and Fαβ∈L2(ω) satisfy nonlinear compatibility conditions of Saint-Venant type. We also show that such an “intrinsic approach” naturally leads to a new definition of polyconvexity." @default.
- W2078133742 created "2016-06-24" @default.
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- W2078133742 date "2012-01-01" @default.
- W2078133742 modified "2023-09-26" @default.
- W2078133742 title "An intrinsic approach and a notion of polyconvexity for nonlinearly elastic plates" @default.
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- W2078133742 doi "https://doi.org/10.1016/j.crma.2011.11.001" @default.
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