Nonlinear Donati compatibility conditions for the nonlinear Kirchhoff -von K arm an-Love plate theory - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Comptes rendus hebdomadaires des séances de l'Académie des sciences Année : 2013

Nonlinear Donati compatibility conditions for the nonlinear Kirchhoff -von K arm an-Love plate theory

Résumé

Linear Donati compatibility conditions guarantee that the components of symmetric tensor fields are those of linearized change of metric or linearized change of curvature tensor fields associated with the displacement vector field arising in a linearly elastic structure when it is subjected to applied forces. These compatibility conditions take the form of variational equations with divergence-free tensor fields as test-functions, by contrast with Saint-Venant compatibility conditions, which take the form of systems of partial differential equations. In this paper, we identify and justify nonlinear Donati compatibility conditions that apply to a nonlinearly elastic plate modeled by the Kirchhoff-von K'arm'an-Love theory.
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Dates et versions

hal-00959792 , version 1 (16-03-2014)

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Philippe G. Ciarlet, Giuseppe Geymonat, Francoise Krasucki. Nonlinear Donati compatibility conditions for the nonlinear Kirchhoff -von K arm an-Love plate theory. Comptes rendus hebdomadaires des séances de l'Académie des sciences, 2013, 351, pp.405-409. ⟨10.1016/j.crma.2013.05.012⟩. ⟨hal-00959792⟩
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