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《Journal of Shanghai Jiaotong University》 2005-05
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Three Dimensional Theoretical Solution of a Normal Force on the Surface of Two Coating Materials with the Same Thickness

LI Hua-bo,XU Jin-quan,YANG Zhen(School of Naval Architecture, Ocean and Civil Eng., Shanghai Jiaotong Univ., Shanghai 200240, China)  
Based on the theory of spatial axisymmetrical elasticity, the theoretical solution of a normal force acting at the free surface of two bonded dissimilar coating materials with the same thickness was deduced by introducing mirror point method and the fundamental solution of a semi-infinite body suffering a concentrated force. It can be used as Green function to deal with the problem of distributed force and even more complicated ones, and the fundamental solution for boundary element method as well. There are infinite mirror points, but the last numerical analysis indicates that we can get accurate enough solution by (only) taking the first three mirror points into account. It not only proves the correctness of the theoretical (deduction), but also shows only the displacement functions corresponding to the first several mirror points have effects on the accuracy of the solution. This fundamental solution is given by the displacement functions defined under the local coordinate systems with their origins placed at each mirror point. The displacement functions corresponding to the mirror point of higher order can be determined from that to the lower order ones.
【Fund】: 国家自然科学基金资助项目(10372058)
【CateGory Index】: TB301
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