|Title:||DBEM analysis for an elliptic torsion bar with a double-edge crack||Other Titles:||含雙邊裂縫橢圓桿扭轉之對偶邊界元素法分析||Authors:||賴偉文
|Keywords:||degenerate boundary;dual BEM;null-field integral equation;SVD;torsional rigidity||Issue Date:||18-Nov-2011||Publisher:||The 35th National Conference on Theoretical and Applied Mechanics||Conference:||The 35th National Conference on Theoretical and Applied Mechanics||Abstract:||
It is well known that rank deficiency occurs in BEM for degenerate boundary. The
conventional BEM is difficult to solve the problem which contains degenerate
boundary without decomposing the domain to multi-regions. Therefore, the
hypersingular integral equation is used in the procedure to ensure a unique solution for the problem containing a degenerate boundary. Combing the singular and hypersingular equation, it's termed dual BEM due to its dual frame. By employing the SVD technique to the four influence matrices, it is interesting to find that true information in physics due to rigid body mode is found in the right unitary vector with respect to the corresponding zero singular value while the degenerate boundary information in mathematics is imbedded in the left unitary vector. In this report, we use the dual BEM to determine the torsional rigidity of an elliptic bar containing a double-edge crack. The role of the right and left unitary vectors of SVD in the dual BEM is also discussed in this work.
國立成功大學, November 18-19, 2011
|Appears in Collections:||河海工程學系|
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