Transactions of Nanjing University of Aeronautics & Astronautics
Three Dimensional Stress Fields in Finite Thickness Plate with Hole Under Shear Load
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Abstract:
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 1 on the surface of the hole when the plate is a very thick one.
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Project Supported:
the National Natural Science Foundation of China (11372269,10902057).
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