无穷远处Ⅲ型均布荷载与集中荷载作用下应变加强层连接唇形裂纹的解析解  

Analytical Solution for a Strained Reinforcement Layer Bonded to a Lip-Shaped Crack Under Remote Mode Ⅲ Uniform Load and a Concentrated Load

作　　者：刘又文[1,2] 谢超[1,2] 蒋纯志[1,2,3] 方棋洪[1,2] 

机构地区：[1]湖南大学汽车车身先进设计制造国家重点实验室,长沙410082 [2]湖南大学机械与运载工程学院,长沙410082 [3]湘南学院物理与电子信息工程系,湖南郴州423000

出　　处：《应用数学和力学》2010年第9期1075-1088,共14页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10872065;50801025);高等教育博士点基金资助项目(200805320023);汽车车身先进设计制造国家重点实验室资助项目(60870005)

摘　　要：通过对保角映射及解析延拓的应用,获得了无穷远处Ⅲ型均布荷载和集中荷载作用下,连接在唇形裂纹面上的内埋应变加强层的级数形式应力解析解.分析了材料匹配、界面连接及几何特征对界面应力的影响,研究发现对于不同的荷载形式,合理的材料匹配、连接及几何特征能够有效地减少应力集中和界面应力.The analytical solution of stress field for a strained reinforcement layer bonded to a lip-shaped crack under a remote mode Ⅲ uniform load and a concentrated load was obtained explicitly in the series form by using the technique of conformal mapping and the method of analytic continuation. The effect of material combinations, bond of interface and geometric configurations on interfacial stresses generated by eigenstrain, remote load and concentrated load were studied. The results show that the stress concentration and interracial stresses could be reduced by rational material combinations and geometric configurations designs for different load forms.

关 键 词：唇形裂纹 内埋应变加强层 集中荷载 无穷远处荷载 本征应变 界面应力 

分 类 号：TB381[一般工业技术—材料科学与工程] O343.7[理学—固体力学]