基于均匀化理论粘弹性复合材料松弛规律的研究  

Study on Relaxation Regulation for Viscoelastic Composites based on Asymptotic Homogenization Method

作　　者：舒乐华[1] 谢桂兰[1] 曹尉南[1] 汤亚男[1] 

机构地区：[1]湘潭大学机械工程学院,湖南湘潭411105

出　　处：《新技术新工艺》2010年第9期88-90,共3页New Technology & New Process

基　　金：博士启动基金资助项目(07QDZ05)

摘　　要：基于均匀化理论研究了粘弹性复合材料的松驰规律,推导出了均匀化方法计算等效松驰模量的一般形式。在Laplace域中计算等效松弛模量,并用最小二乘法拟合Prony级数表示的松弛函数,然后在时间域中进行数值的Laplace逆转换,得到时间域内等效复合模量。给出了算例来验证这个计算方法的可行性并讨论了松弛模量随夹杂体积分数变化的规律。The relaxation regulation for visco-elastic composite materials based on asymptotic homogenization method is discussed.The equations of the equivalent relaxation modulus are shown in general form.First,the effective relaxation modulus are computed in Laplace transformed domain and the least-square fitting is employed based on the Prony series representation of the relaxation modulus.Then,the effective relaxation modulus is numerically inverse-transformed into time domain.The numerical example is given to verify this calculation method and the regulation of the effective relaxation with the volume fraction is discussed.

关 键 词：复合材料 粘弹性 均匀化理论 LAPLACE变换 

分 类 号：TP31[自动化与计算机技术—计算机软件与理论]