求解热冲击下复合型应力强度因子的热权函数法  

THERMAL WEIGHT FUNCTION METHOD FOR DETERMINATION OF STRESS INTENSIFY FACTORS OF MIXED-MODE CRACK UNDER THERMAL SHOCK

作　　者：裘升东[1] 

机构地区：[1]绍兴职业技术学院通信与信息工程系,浙江绍兴312000

出　　处：《机械强度》2011年第2期258-263,共6页Journal of Mechanical Strength

基　　金：国家自然科学基金(50675206);浙江省自然科学基金(Y106847)资助项目~~

摘　　要：对热冲击下复合型裂纹的应力强度因子进行研究,给出复合型应力强度因子计算的热权函数法格式。利用刚度阵导数法将热权函数法与有限元法直接耦合,推导热权函数法计算复合型应力强度因子的有限元格式。结合虚拟裂纹扩展技术完成热权函数的计算,热权函数与时间无关,从而免除对每一时刻所需作的有限元或边界元分析,大大简化了计算过程。对典型例题进行计算,通过与直接热弹性力学法计算得到的结果进行比较,证明热权函数法具有较高的计算效率,并且又具有满意的工程应用精度。Stress intensify factors（SIFs） of mixed-mode crack under thermal shock were studied,and mixed-mode SIFs were determinated with thermal weight function（TWF） method.The stiffness derivative method was used to couple the TWF method with finite element（FE） method.Formulations of FE implementation of TWF method were given for mixed-mode crack.Virtual crack extension technique was used to calculate the TWF.TWF is independent of time,so the repeated FEM analyses for every instant are avoided,the calculation procedure is greatly simplified.Typical example was calculated and the result was compared with the result got from direct thermal elastic method.Example shows that the scheme have very high efficiency and good accuracy.The results show that the histories of SIF distributions along crack fronts are very complex.

关 键 词：热权函数法 应力强度因子 复合型 热冲击 有限元法 

分 类 号：O346.1[理学—固体力学] O347.51[理学—力学]