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• W1991569476 abstract "The problem studied in this paper is that of a coated semi-infinite plane subjected to a concentrated force in the upper thin layer (or film). The elastic properties of the coating material are different from those of the substrate, and a perfect bond is assumed between the two materials. The exact solutions of stress functions in a series form are obtained by the method of image. The terms in series form of the stress functions correspond to the image points from the lower order to the higher. The recurrence relations of the stress functions are given, i.e., the stress functions corresponding to the higher order image points are determined by the lower ones. Hence, from the original stress functions for an infinite plane subjected to a concentrated force, the explicit formulas of all terms of the stress function series can be derived. Also, through comparisons between the theoretical results and the numerical results by FEM, it is verified that the convergence rate of the solutions is very rapid. In most practical cases only the first several image points are sufficient to ensure the accuracy of the solutions." @default.
• W1991569476 created "2016-06-24" @default.
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• W1991569476 date "2004-12-01" @default.
• W1991569476 modified "2023-09-27" @default.
• W1991569476 title "Fundamental solution for bonded materials with a free surface parallel to the interface. Part I: Solution of concentrated forces acting at the inside of the material with a free surface" @default.
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• W1991569476 doi "https://doi.org/10.1016/j.ijsolstr.2004.05.007" @default.
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