一种代表性单元及其在疲劳损伤中的应用

A Representative Volume Element and its Application in Fatigue Damage

本文提出了一种处理非均匀疲劳损伤问题的代表性单元，这种代表性单元由一系列并联的杆元组成，各杆元的横截面形状为多边形，且边数和大小是随机的，即所谓的Ｄｉｒｉｃｈｌｅｔ图案。因此这种代表性单元可以被用来考虑细观结构以及性能的随机性问题；文中还利用数理统计的方法探讨了代表性单元的尺寸问题。实例表明：应用这种代表性单元并将弹性模量视为随机变量可以较好地解决低周疲劳损伤局部性的计算问题。

This paper presents a representative volume element. The element consists of a series of parallel bar micro elements whose cross sections are polygons and whose numbers of edges and sizes are random. So statistic properties of mesh structure and mechanical performances can be considered in the element. The paper also discusses the determination of the size of the element by statistic method. In the example, the presented representative volume element is used to deal with the localized fatigue damage of the low cycle.