作　　者： ; ; ; ;

机构地区： 佛山科学技术学院环境与土木建筑学院

出　　处： 《机械强度》 2006年第4期517-523,共7页

摘　　要： 通过引进新的特征函数,提出一种新的求解方法,将均质化法中计算特征函数的非奇次积分方程转化为奇次积分方程,得到具有精确的周期性边界条件的均质化方法。利用该方法预测孔洞材料、短纤维增强复合材料刚度的变化,所得结果与用经典方法得到的结果进行比较,验证该方法的可靠性。对于短纤维增强复合材料,分析纤维排列方式对刚度的影响,这是经典的Halpin-Tsai法和Mori-Tanaka法无法预测的,因而文中的方法具有更高的精确度和更广的适应性。 A new method is proposed to determine the exact periodic boundary conditions for the macro-microscopic homogenization analysis of materials with periodic micro-structures. A homogeneous integral equation is derived to replace the conventional inhomogeneous integral equation related to the microscopic mechanical behavior in the basic unit cell by introducing a new characteristic function. Based on the new solution method, the computational problem of the characteristic function subject to initial strains and periodic boundary conditions is reduced to a simple displacement boundary value problem without initial strains, which simplifies the computational process. Applications to the predication of effective elastic constants of materials with various two-dimensional and three-dimensional periodic microstructures are presented. The numerical results are compared with empirical results obtained from the Halpin-Tsai equations, Mori- Tanaka method and conventional homogenization calculations, which proves that the present method is valid and efficient for prediction of the effective elastic constants of materials with various periodic microstructures.

关 键 词： 均质化法 精确周期性边界条件 纤维增强复合材料 刚度

领　　域： [理学] [理学] [理学] [理学] [一般工业技术]