相异双材料Ⅲ型平板搭接界面端分析  

Analysis of Dissimilar Bi-Materials Mode Ⅲ Plate Lap Joint Interface End

作　　者：李俊林[1] 冀亚仙[1] 

机构地区：[1]太原科技大学应用科学学院,山西太原030024

出　　处：《中北大学学报（自然科学版）》2014年第6期649-653,共5页Journal of North University of China(Natural Science Edition)

基　　金：山西省自然科学基金资助项目(2014011009-2);山西省研究生优秀创新项目(20133117)

摘　　要：利用复合材料断裂复变的方法,对各向异性与正交异性双材料Ⅲ型平板搭接界面端问题进行了研究.根据复合材料弹性力学知识,建立了Ⅲ型界面端的控制方程.引入含待定系数的位移函数,采用特征值分析方法,研究解决了一类偏微分方程组的边值问题,得到了两种情形下的平板搭接界面端的应力场、位移场和应力强度因子的理论表达式,并讨论了它们的应力奇异性.获得了当(Q45)1=0时正交异性双材料Ⅲ型平板搭接界面端的应力场、位移场,与已有文献的结果一致,验证了本文结果的正确性.The problem of mode Ⅲ plate lap joint interface end of an anisotropy and an orthotropic hi-material was studied by using complex variable method of composite material fracture. Based on the composite material elastic mechanics knowledge, the control equations of mode Ⅲ interface end were established. The displace- ment functions of undetermined coefficients and the analysis of the characteristic value were introduced, and the problems of a class of partial differential equations with boundary value were solved. The stress field, the displacement field and the stress intensity factor of two cases of dissimilar bi-materials modeIn plate lap joint interface end were derived. And their stress singularities were analyzed. When （Q4s）1 = 0, the stress field and the displacement field correspond to the orthotropic bi-materials, which are derived and consistent with the results in published literature. The correctness of the result is verified.

关 键 词：复合材料断裂复变方法 相异双材料 平板搭接 界面端 

分 类 号：O346.1[理学—固体力学] O174.5[理学—力学]