Title: Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure Show Chinese title

Title: 完美塑性板的周期性微观结构的有效准静态演化模型

Abstract: An effective model is identified for thin perfectly plastic plates whose microstructure consists of the periodic assembling of two elastoplastic phases, as the periodicity parameter converges to zero. Assuming that the thickness of the plates and the periodicity of the microstructure are comparably small, a limiting description is obtained in the quasistatic regime via simultaneous homogenization and dimension reduction by means of evolutionary $\Gamma$-convergence, two-scale convergence, and periodic unfolding. Show Chinese abstract

Abstract: 一个有效的模型被确定用于薄的完美塑性板，其微观结构由两种弹塑性相的周期性组装构成，当周期参数趋近于零时。 假设板的厚度和微观结构的周期性是可比较的小，在准静态情况下，通过进化$\Gamma$-收敛、两尺度收敛和周期展开同时进行均质化和维度降低，得到了极限描述。