Three-Dimensional Stress Fields in Finite Thickness Plate with Hole Under Shear Load  

作　　者：戴隆超 王鑫伟 龚俊杰 顾乡 

机构地区：[1]College of Mechanical Engineering,Yangzhou University [2]State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2014年第5期546-551,共6页南京航空航天大学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11372269,10902057)

摘　　要：The theoretical solutions are obtained for the three-dimensional(3-D)stress field in an infinite isotropic elastic plate with a through-the-thickness circular hole subjected to shear load at far field by using Kane and Mindlin′s assumption based on the stress function method.Based on the present solutions,the characteristics of 3-D stress field are analyzed and the emphasis is placed on the effects of the plate thickness and Poisson′s ratio on the deviation of the present 3-D in-plane stress from the related plane stress solutions,the stress concentration and the out-of-plane constraint.The present solutions show that the stress concentration factor reaches its peak value of about 8.9% which is higher than that of the plane stress solutions.As expected,the out-of-plane stress constraint factor can reach 1on the surface of the hole when the plate is a very thick one.The theoretical solutions are obtained for the three-dimensional （3-D） stress field in an infinite isotropic elastic plate with a through-the-thickness circular hole subjected to shear load at far field by using Kane and Mind- lin＇s assumption based on the stress function method. Based on the present solutions, the characteristics of 3-D stress field are analyzed and the emphasis is placed on the effects of the plate thickness and Poisson^s ratio on the deviation of the present 3-D in-plane stress from the related plane stress solutions, the stress concentration and the out-of-plane constraint. The present solutions show that the stress concentration factor reaches its peak value of a- bout 8.9% which is higher than that of the plane stress solutions. As expected, the out-of plane stress constraint factor can reach 1 on the surface of the hole when the plate is a very thick one.

关 键 词：three-dimensional stress field through-the-thickness circular hole thickness effect stress concentration out-of-plane constraint 

分 类 号：O343.4[理学—固体力学]