Linearized Elasticity as Γ-Limit of Finite Elasticity
Copyright policy )Linearized Elasticity as Γ-Limit of Finite Elasticity
Linearized elastic energies are derived from rescaled nonlinear energies by means of \(\Gamma\)-convergence. For Dirichlet and mixed boundary value problems in a Lipschitz domain \(\Omega\), the convergence of minimizers takes place in the weak topology of \(H^1(\Omega,\mathbb{R}^n)\) and in the strong topology of \(W^{1,q}(\Omega,\mathbb{R}^n)\) for \(1\leq q<2\).
- Goa University India
- University of Genoa Italy
- International School for Advanced Studies Italy
- University of Pavia Italy
weak topology, linearized elastic energies, Nonlinear elasticity, strong topology, Other PDE from mechanics, hyperelastic material, Gamma Convergence, convergence of minimizers, Lipschitz domain, Linearized Elasticity, Finite Elasticity, Equations linearized about a deformed state (small deformations superposed on large), Energy minimization in equilibrium problems in solid mechanics, gamma convergence, rescaled nonlinear energies
weak topology, linearized elastic energies, Nonlinear elasticity, strong topology, Other PDE from mechanics, hyperelastic material, Gamma Convergence, convergence of minimizers, Lipschitz domain, Linearized Elasticity, Finite Elasticity, Equations linearized about a deformed state (small deformations superposed on large), Energy minimization in equilibrium problems in solid mechanics, gamma convergence, rescaled nonlinear energies
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