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Asymptotic homogenization algorithm for reinforced metal-matrix elasto-plastic composites

机译:增强金属基弹塑性复合材料的渐近均匀化算法

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The theory of the two-scale convergence was applied to homogenization of initial flow stresses and hardening constants in some exponential hardening laws for elasto-plastic composites with a periodic microstructure. The theory is based on the fact that both the elastic and the plastic part of the stress field two-scale converge to a limit, which can be factorized by parts, one of which depends only on the macroscopic, and the other one - only on the microscopic characteristics. The first factor is represented in terms of the homogenized stress tensor and the second factor - in terms of stress concentration tensor, that relates to the micro-geometry and elastic or plastic micro-properties of composite components. The theory was applied to a composite, that consists of the metallic elasto-plastic matrix with Ludwik and Hocket-Sherby hardening law and pure elastic silica inclusions. Results were compared with those of averaging based on the self-consistent methods.
机译:将两尺度收敛理论应用于具有周期性微结构的弹塑性复合材料的一些指数硬化规律中的初始流动应力和硬化常数的均质化。该理论基于这样一个事实,即应力场的两个尺度的弹性和塑性部分都收敛到一个极限,该极限可以由多个部分分解,其中一个部分仅取决于宏观,而另一个则取决于宏观。微观特征。第一个因素以均质应力张量表示,第二个因素以应力集中张量表示,这与复合部件的微观几何形状和弹性或塑性微观特性有关。该理论适用于复合材料,该复合材料由具有Ludwik和Hocket-Sherby硬化定律的金属弹塑性基体和纯弹性二氧化硅包裹体组成。将结果与基于自洽方法的平均结果进行比较。

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