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在带有周期显微结构的弹塑性复合材料的指数硬化准则中,采用双尺度收敛法匀化初始流动应力与硬化常数。弹塑性应力场均能双尺度收敛于某极限点,该点可分为两部分,第一部分仅依赖于宏观特征,第二部分则仅依赖于微观特征。第一部分以匀化应力张量表示,第二部分以与微观几何学、复合材料的弹塑性有关的应力集中张量表示。基于Hocket硬化准则和硅质完全弹性假定,利用此方法研究某弹塑性金属基复合材料,并将分析结果与基于自洽法的匀化结果进行对比。
In the exponential hardening criterion of elastoplastic composites with periodic microstructures, the initial flow stress and the hardening constants were homogenized by the two-scale convergence method. The elastic-plastic stress field can converge to a certain limit point on two scales. The point can be divided into two parts. The first part relies only on the macroscopic features and the second part depends only on the microscopic features. The first part shows the uniform stress tensor and the second part shows the stress concentration tensor related to the micro-geometry and the elasto-plasticity of the composite material. Based on the Hocket hardening criterion and the assumption of complete silicon elasticity, this method was used to study an elasto-plastic metal matrix composite and the results were compared with the homogenization results based on the self-consistent method.