Fundamental Solutions of a Normal Force in Semi-Infinite Coating Materials Part I: Solution of Force Acting in the Coating Layer
The problem of a normal force acting in the thin layer of semi-infinite coating materials has been studied by adopting the image point technology in this paper. The explicit fundamental solution is given in the series of the displacement functions corresponding to each image point. The displacement functions corresponding to the higher order image points can be determined from those to the lower ones by the recurrence formula presented in this paper. Numerical analysis by means of the finite element method has been carried out to verify the theoretical results. It is found that the accurate enough theoretical solution can be obtained by only taking the displacement functions corresponding to the first several image points into account.
Chaohe Chen, Yong Huang and Guangfan Li
Z. Yang and S. Q. Guo, "Fundamental Solutions of a Normal Force in Semi-Infinite Coating Materials Part I: Solution of Force Acting in the Coating Layer", Advanced Materials Research, Vols. 243-249, pp. 5917-5922, 2011