双材料弯扭断裂问题  

The Torsion Fracture Problem of Bi- material

作　　者：杨林[1] 赵绚 冯贵林[3] 李俊林[3] 

机构地区：[1]太原科技大学运城工学院基础部,山西运城030024 [2]运城师范高等专科学校数计系,山西运城044000 [3]太原科技大学应用科学学院,山西太原030024

出　　处：《佳木斯大学学报（自然科学版）》2014年第5期760-762,773,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：山西省自然科学基金(2011011021-3);2012年山西省高等学校教学改革项目(高职)重点项目(JG2012059)

摘　　要：研究了正交异性双材料界面裂纹断裂的问题,根据叠加原理和偏导数的加法定理,在受弯扭载荷混合作用下,当特征方程组的判别式Δ1>0,Δ2<0时,推导出了受弯扭载荷作用下的含中心穿透双材料界面裂纹尖端附近的弯矩、扭矩、应力场的理论公式.从理论结果上可以看出双材料界面裂纹尖端附近应力场不具有振荡奇异性.此结论对于结合材料的强度和可靠性评价具有重要意义.The problem of the orthotropic bi -material interface crack fracture was studied .Under ben-ding and torsion loads , when the characteristic equations discriminant is Δ1 〉0 andΔ2〈0 , the theoretical for-mula of moment , torque and stress field closed to double penetration interfacial crack tip with center penetrate can be deduced based on the theorem of the superposition principle and partial derivative .From the theoretical results , the stress fields closed to dual -material interface crack-tip has no singularity of oscillations can be re-solved.The conclusion is of great significance to the strength and reliability evaluation of the bonded materials .

关 键 词：双材料 正交异性 弯扭载荷 界面裂纹 中心穿透 

分 类 号：O346.1[理学—固体力学]