数值分析中粘弹材料剪切模量松弛函数的拟合方法  

FITTING METHOD OF SHEAR MODULUS RELAXATION FUNCTION FOR VISCOELASTIC MATERIALS IN NUMERICAL ANALYSIS

作　　者：帅词俊[1] 段吉安[1] 王炯[1] 

机构地区：[1]中南大学机电工程学院,长沙410083

出　　处：《机械强度》2005年第4期522-525,共4页Journal of Mechanical Strength

基　　金：国家自然科学基金重点资助项目(50235040);中南大学创新工程资助项目(030616)~~

摘　　要：粘弹材料在进行有限元分析时,应先将经验或实验获得的剪切模量松弛函数拟合为相应的粘弹物理模型。文中针对粘弹材料的经验剪切模量松弛函数KohlrauschWilliamWatts(KWW)方程,基于Matlab软件,利用线性方程组插值求解法,实现对粘弹材料的广义Maxwell模型拟合,得出用于粘弹有限元分析的Maxwell模型参数的计算方法。并以1050℃的粘弹光纤玻璃为例,给出一组计算实例。While adopting finite element method to analyze the stress and strain of viscoelastic material, the data of relaxation modulus that is derived from experiments or experiences should be fitted for its corresponding viscoelastic physical model. Based on the Matlab software, experimental shear modulus relaxation function of viscoelastic materials is fitted to the generalized Maxwell model by means of interpolation method of linear equation group. And have drawn the Maxwell model parameters computing method used for viscoelastic finite dement analysis. Taking the optic fibre glass of 1 050 ℃ as an example, one group of data is provided.

关 键 词：粘弹材料 剪切模量松弛函数 Maxwell模型 参数拟合 

分 类 号：O345[理学—固体力学] TB115[理学—力学]