顶端受集中力偶的双材料平面界面接合楔体的对数奇异应力场  

Logarithmic Singular Stress Field in an Interface Edge Consisting of Two Bonded Dissimilar Materials Subjected to a Concentrated Couple on Apex

作　　者：杨娟[1] 彭南陵[2] 丁皓江[2] 

机构地区：[1]南昌大学工程力学实验中心,江西南昌330029 [2]浙江大学土木系,浙江杭州310027

出　　处：《力学季刊》2006年第4期542-549,共8页Chinese Quarterly of Mechanics

摘　　要：应用复变函数方法,通过构造复函数形式的特解序列,从理论上研究了顶端受集中力偶的双材料平面界面接合楔体的应力场,给出了相应的经典解,发现其存在一次和二次佯谬,相应的应力具有(Inr)／r2和(In2r)／r2的奇异性。By employing the complex variable methods and constructing the particular solution sequences in the form of complex functions, a study on the stress field in an interface edge consisting of two bonded dissimilar materials subjected to a concentrated couple on apex was provided, the corresponding classical solutions were obtained, the primary paradox and second paradox may occur, and the corresponding stresses possess the singularity of （lnr）r^2 and （ln^2 r）/r^2.

关 键 词：楔体 应力奇异性 佯谬 复变函数方法 平面弹性 

分 类 号：O343[理学—固体力学]