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Linearized Elasticity as Γ-Limit of Finite Elasticity

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Abstract

Linearized elastic energies are derived from rescaled nonlinear energies by means of Γ-convergence. For Dirichlet and mixed boundary value problems in a Lipschitz domain Ω, the convergence of minimizers takes place in the weak topology of H 1(Ω,R n) and in the strong topology of W 1,q(Ω,R n) for 1≤q<2.

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Authors and Affiliations

  1. International School for Advanced Studies (SISSA), Via Beirut 2, 34014, Trieste, Italy

    G. Dal Maso & M. Negri

  2. Dipartimento di Metodi e Modelli Matematici, Piazzale Kennedy, Università degli Studi di Genova, 16129, Genova, Italy

    D. Percivale

Authors
  1. G. Dal Maso
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  2. M. Negri
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  3. D. Percivale
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Maso, G.D., Negri, M. & Percivale, D. Linearized Elasticity as Γ-Limit of Finite Elasticity. Set-Valued Analysis 10, 165–183 (2002). https://doi.org/10.1023/A:1016577431636

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  • DOI: https://doi.org/10.1023/A:1016577431636

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