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Linearized plastic plate models as Gamma-limits of 3D finite elastoplasticity
The subject of this paper is the rigorous derivation of reduced models for a
thin plate by means of {\Gamma}-convergence, in the framework of finite
plasticity. Denoting by {\epsilon} the thickness of the plate, we analyse the
case where the scaling factor of the elasto-plastic energy is of order
{\epsilon}^(2{\alpha}-2), with {\alpha}>=3. According to the value of {\alpha},
partially or fully linearized models are deduced, which correspond, in the
absence of plastic deformation, to the Von Karman plate theory and the
linearized plate theory.Comment: 19 page
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