论文标题
具有周期性微观结构的完美塑料板的有效的准演化模型
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure
论文作者
论文摘要
对于薄的完美塑料板，确定了一个有效的模型，其微观结构由两个弹性塑料相的周期性组装，因为周期性参数收敛到零。假设板的厚度和微观结构的周期性相当小，则通过同时均质化和通过进化$γ$ convergence，二尺度逆变和周期性脱落的方式，通过同时均质化和尺寸降低来获得限制描述。
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 $Γ$-convergence, two-scale convergence, and periodic unfolding.
