均匀化方法的ABAQUS实现

Realization of homogenization method with ABAQUS

摘要:

为了利用通用有限元软件来对复杂的均匀化方程进行便捷求解,从而对具有周期性构造复合材料有效性能进行预测.根据文献[1]提出的热应力方法和边界力方法将均匀化方程转化为通用有限元可以进行计算的形式,通过ABAQUS用户子程序和脚本语言的编写,便捷的实现了均匀化方程的求解,得到了均匀化系数.通过均匀化方程的ABAQUS的便捷求解(包括热应力方法和边界力方法),计算了单向复合材料有效性能,并与细观力学方法进行比较,结果表明两种方法具有一致性和有效性.

Abstract:

To use the commonly finite element software to conveniently realize the calculation of homogenization method,the paper proposes two realization methods of homogenization using ABAQUS software:thermal stress method and boundary force method.The control equation of homogenization method is converted to the form which can be solved with commonly finite element software.ABAQUS user subroutine and ABAQUS scripting are programed in this article to calculate the homogenization equations.Then the homogenized coefficient is calculated by the two proposed methods for unidirectional composite material,the results show that the two methods agree well with theoretical results.