论文标题
弹塑性颗粒复合材料中形状和填料效应的微力和数值分析
Micromechanical and numerical analysis of shape and packing effects in elastic-plastic particulate composites
论文作者
论文摘要
这项研究的目的是检查增强形状和包装对颗粒复合材料的宏观行为的综合作用。引入的微机械方法通过替代Mori-Tanaka模型修饰了形态上代表性的模式方案。统计量元素具有所选形状的随机放置夹杂物。研究了四种不均匀性的形状：一个球体，一个斜面的球体，三个pr酸球体以直角交叉和一个钻孔的球体。使用单个粒子的简单模拟发现了非层状不均匀性的浓度张量。非线性材料行为制度的扩展是通过采用材料响应的切线或逐渐增量线性化来执行的。将结果与基于Eshelby解决方案（例如Mori-Tanaka模型或自洽方案）的数值模拟结果和预测的结果进行了比较。发现在具有不同形状和颗粒的包装的弹性塑料复合材料的情况下，提出的形态代表性模式方法的修改可以用作计算均质化的替代方法。
The purpose of this study is to inspect the combined effect of reinforcement shape and packing on the macroscopic behaviour of particulate composites. The introduced micromechanical approach modifies the Morphologically Representative Pattern scheme with the Replacement Mori-Tanaka Model. The statistical volume elements have randomly placed inclusions with a selected shape. Four shapes of inhomogeneities are studied: a sphere, a prolate spheroid, three prolate spheroids crossing at right angles, and a drilled spheroid. The concentration tensors of non-ellipsoidal inhomogeneities are found numerically using simple simulations of a single particle. The extension to the regime of non-linear material behaviour is performed by employing the tangent or secant incremental linearization of the material response. The results are compared with the outcomes of numerical simulations and predictions of the classical mean-field models based on the Eshelby solution, e.g., the Mori-Tanaka model or the Self-Consistent scheme. It is found that the proposed modification of the Morphologically Representative Pattern approach can be used as an alternative to computational homogenization in the case of elastic-plastic composites with different shapes and packings of particles.
