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標題Title: The Processes of Image Singularities fro Anisotropic Material Degenerate to Isotropic Material
作者Authors: 林儒禮
上傳單位Department: 機械工程系
上傳時間Date: 2009-12-1
上傳者Author: 林儒禮
審核單位Department: 機械工程系
審核老師Teacher: 林儒禮
檔案類型Categories: 研討會報告Seminar Report
關鍵詞Keyword: image singularity、anisotropic material
摘要Abstract: The processes of the image singularities for anisotropic material degenerate to isotropic material are discussed detail in the study. The Green’s function for an anisotropic and isotropic half-plane with free boundary subjected to a concentrated force and dislocation have been obtained by many authors. It is well known that the solution of isotropic problem can’t be derived by anisotropic problem directly. There are just O(1/r) image singularities on the image point of anisotropic material. But more higher order image singularities(O(1/r2), O(1/r3)) are existed on the image point for isotropic case. Throughout the analysis in the study, it found that the higher order image singularities for isotropic half-plane are induced by the result for the combination of concentrated forces and dislocations while anisotropic material degenerate to isotropic one. The type and magnitude of image singularities are depended on the kinds of applied loadings. The transformations of image singularities for anisotropic problem reduce to isotropic case are complicated and the final results are variously. Because of the dependent for the fundamental solution among the higher order image singularities, the final image singularities for isotropic material can be simplified by merging those image singularities. By combining image singularities, there are only four or five image singularities acting on the image point for isotropic problem.

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2009_12_7490d89f.ppt 902Kb ppt 362 40
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