线性化塑性板模型作为三维有限弹塑性的Gamma极限
Linearized plastic plate models as Gamma-limits of 3D finite elastoplasticity
摘要：
本文在有限塑性框架下，用Γ-收敛法严格推导了薄板的降阶模型。用ε表示板的厚度，我们分析了弹塑性能量的比例因子为ε^（2α-2）阶，α>=3的情况。根据α的大小，推导出了部分或完全线性化的模型，在不考虑塑性变形的情况下，这些模型分别对应于Von Karman板理论和线性化板理论。
英文摘要：
The subject of this paper is the rigorous derivation of reduced models for a thin plate by means of Γ-convergence, in the framework of finite plasticity. Denoting by ε the thickness of the plate, we analyse the case where the scaling factor of the elasto-plastic energy is of order ε^(2α-2), with α>=3. According to the value of α, 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.
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