发表机构
Flatiron Institute; DICATAM, Sezione di Matematica, Università di Brescia（平顿研究所; 布雷西亚大学DICATAM数学系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在Gamma-收敛框架下研究两相弹塑性材料的周期均匀化，建立与双尺度收敛的联系，但仅在1D情形确认均匀化能量的弹塑性特征。
AI 中文摘要
本文在 Gamma-收敛框架下研究两相弹塑性材料的周期均匀化问题。它建立了均匀化泛函与文献[12]中通过双尺度收敛方法获得的泛函之间的联系。尽管两种表述之间没有差距，且涉及双尺度的表述具有（双尺度）弹塑性问题的特征，但我们无法在除一维情形外正面确认均匀化能量的弹塑性性质。
英文摘要
This paper investigates the periodic homogenization of a two-phase elasto-plastic material in the framework of $Γ$-convergence. It establishes the link between the homogenized functional and that which was previously obtained in [12] in the context of two-scale convergence. Although there is no gap between the two formulations and that involving two-scale has the hallmark of a (two-scale) elasto-plastic problem, we are unable to positively ascertain the elasto-plastic character of the homogenized energy except in a one-dimensional setting.
