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,R-n) and in the strong topology of W-1,q(Omega,R-n) for 1less than or equal toq<2.
Linearized elasticity as Gamma-limit of finite elasticity
PERCIVALE, DANILO
2002-01-01
Abstract
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,R-n) and in the strong topology of W-1,q(Omega,R-n) for 1less than or equal toq<2.File in questo prodotto:
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