Conferences, The 5th International Conference on Computational Methods (ICCM2014)

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Solving 2D multi-crack problems with arbitrary distribution by virtual boundary meshless least squares method
qiang xu

Last modified: 2014-07-13

Abstract


This paper is about how solving tow dimensional multi-crack problems with arbitrary distribution by the virtual boundary meshless least squares method. In this article, the local domain where a single crack is contained would be treated as a subdomain when solving multi-crack problem. And this method incorporates the point interpolation method (PIM) with the compactly supported radial basis function (CSRBF) often used in boundary-type meshless methods to approximately construct the virtual source function on the virtual boundary corresponding to each subdomain. According to the definition about sub-domain in this paper, the added extra sub-domains on the boundary extended along the crack surface as "conventional sub-domain method" in the direct boundary element method do not have to be considered, thereby reducing the computational, especially avoiding this calculation error caused due to inadequate number of the elements or with the collocation points configured on the boundary of the additional sub-domains and its improper configuration. In addition, ......

Keywords


Virtual boundary, Meshless, Least squares, Radial basis function, Multi-crack

References



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