|Title:||Revist of the dual BEM for crack problems using SVD updating technique||Authors:||Jeng-Tzong Chen
W. S. Huang
S. K. Kao
|Keywords:||degenerate boundary;dual BEM;crack problems;SVD updating technique||Issue Date:||10-Oct-2014||Publisher:||Proceedings of ACMFMS2014||Conference:||Proceedings of ACMFMS2014||Abstract:||
The boundary element method (BEM) is easier than the finite element method (FEM) on the viewpoint of the discretization of one dimension reduction rather than the domain discretization of the finite element method. The disadvantage of BEM is the rank deficiency in the influence matrix, which do not occur in the FEM. The dual BEM is used to ensure a unique solution for the problem containing a degenerate boundary by combining the singular and hypersingular equations. Following the successful experience on the retrieval of information using singular value decomposition (SVD) updating term and updating document, this technique is also used to extract out the informations in the dual BEM. Finally, a cracked bar under torsion was demonstrated to see the mathematical SVD structure of four influence matrices in the dual BEM.
Proceedings of ACMFMS2014, October 10-13, Nara, Japan
|Appears in Collections:||河海工程學系|
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