Published Paper

Inserted: 17 dec 2001
Last Updated: 31 oct 2002

Journal: Set-Valued Anal.
Volume: 10
Pages: 165-183
Year: 2002

Abstract:

Linearized elastic energies are derived from rescaled non-linear energies by means of $\Gamma\mbox{-convergence}$. 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 $1\leq q <2$.

Keywords: Gamma-convergence, linearized elasticity

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