Fast computation of first-order elastic–plastic closures for polycrystalline cubic-orthorhombic microstructures
Fast computation of first-order elastic–plastic closures for polycrystalline cubic-orthorhombic microstructures
复制标题
多晶立方-斜方微观结构一阶弹塑性闭包的快速计算
DOI：
10.1016/j.commatsci.2006.08.025
复制
发表时间：
2007
影响因子：
3.3
通讯作者：
S. Kalidindi
中科院分区：
文献类型：
--
作者：
M. Knezevic;S. Kalidindi
在最近的论文中，我们描述了一个严格的数学程序来描述多晶微结构的一阶弹塑性闭包，其中晶体织构（也称为取向分布函数或ODF）被认为是影响有效性能的主要变量。这些闭包基于基本边界理论，描述了所选材料系统中有效特性的理论可行组合的完整集合。在本文中，我们展示了这些弹塑性闭包的某些关键性质，这些性质反过来又促进了这些闭包的快速计算，大大减少了计算量。使用本文描述的新方法，我们已经计算并提出了涵盖广泛的立方体材料的属性地图集的许多例子。
In recent papers, we have described a rigorous mathematical procedure for delineating the first-order elastic–plastic closures for polycrystalline microstructures where the crystallographic texture (also called the Orientation Distribution Function or the ODF) was assumed to be the main variable influencing the effective properties. These closures were based on elementary bounding theories, and delineate the complete set of theoretically feasible combinations of effective properties in the selected material system. In this paper, we demonstrate certain key properties of these elastic–plastic closures for the class of cubic-orthorhombic textures that, in turn, facilitate a fast computation of these closures with drastically reduced computational effort. Using the novel methods described herein, we have computed and presented numerous examples of property atlases covering a broad range of cubic materials.