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題名 The solution to an elliptic partial differential equation for facilitating exact volume integral transformation in the 3D BEM analysis
作者 Li, Meng-Rong
李明融
Shiah, Y.C.
貢獻者 應用數學系
關鍵詞 Partial differential equation; Exact volume integral transformation; Boundary element analysis; 3D anisotropic elasticity; Body-force effect
日期 2015-03
上傳時間 9-Apr-2015 17:42:31 (UTC+8)
摘要 In the direct boundary element method (BEM), the body-force or its equivalence will reveal itself as a volume integral that shall destroy the important notion of boundary discretisation. For resolving this issue, the most elegant approach would be to analytically transform the volume integral to boundary ones. In the process of such attempt for 3D anisotropic elastostatics, the key lies in analytically formulating the fundamental solution to a partial differential equation. In this paper, the partial differential equation is presented in an elliptic form, followed by formulating its analytical solution. In the BEM analysis, the formulated solution will be a key part to the success of performing exact volume-to-surface integral transformation.
關聯 Engineering Analysis with Boundary Elements,54,13-18
資料類型 article
DOI http://dx.doi.org/10.1016/j.enganabound.2014.12.011
dc.contributor 應用數學系-
dc.creator (作者) Li, Meng-Rong-
dc.creator (作者) 李明融-
dc.creator (作者) Shiah, Y.C.en_US
dc.date (日期) 2015-03-
dc.date.accessioned 9-Apr-2015 17:42:31 (UTC+8)-
dc.date.available 9-Apr-2015 17:42:31 (UTC+8)-
dc.date.issued (上傳時間) 9-Apr-2015 17:42:31 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/74442-
dc.description.abstract (摘要) In the direct boundary element method (BEM), the body-force or its equivalence will reveal itself as a volume integral that shall destroy the important notion of boundary discretisation. For resolving this issue, the most elegant approach would be to analytically transform the volume integral to boundary ones. In the process of such attempt for 3D anisotropic elastostatics, the key lies in analytically formulating the fundamental solution to a partial differential equation. In this paper, the partial differential equation is presented in an elliptic form, followed by formulating its analytical solution. In the BEM analysis, the formulated solution will be a key part to the success of performing exact volume-to-surface integral transformation.-
dc.format.extent 364744 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Engineering Analysis with Boundary Elements,54,13-18-
dc.subject (關鍵詞) Partial differential equation; Exact volume integral transformation; Boundary element analysis; 3D anisotropic elasticity; Body-force effect-
dc.title (題名) The solution to an elliptic partial differential equation for facilitating exact volume integral transformation in the 3D BEM analysis-
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/j.enganabound.2014.12.011-
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.enganabound.2014.12.011-