Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Mora, Maria Giovanna¹  Scardia, Lucia² 

[1] Scuola Int Super Studi Avanzati, I-34136 Trieste, Italy

[2] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany

关键词: Nonlinear elasticity;    Plate theories;    Von Karman equations;    Equilibrium configurations;    Stationary points;   

DOI  :  10.1016/j.jde.2011.09.009

来源: Elsevier

【 摘 要 】

The asymptotic behaviour of the equilibrium configurations of a thin elastic plate is studied, as the thickness h of the plate goes to zero. More precisely, it is shown that critical points of the nonlinear elastic functional epsilon(h), whose energies (per unit thickness) are bounded by Ch(4), converge to critical points of the Gamma-limit of h(-4)epsilon(h). This is proved under the physical assumption that the energy density W(F) blows up as det F -> 0. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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