Combined Visibility and Surrounding Triangles Method for Simulation of Crack Discontinuities in Meshless Methods
In this paper a combined node searching algorithm for simulation of crack discontinuities in meshless methods called combined visibility and surrounding triangles (CVT) is proposed. The element free Galerkin (EFG) method is employed for stress analysis of cracked bodies. The proposed node searching...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/715613 |
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| author | H. Pirali F. Djavanroodi M. Haghpanahi |
| author_facet | H. Pirali F. Djavanroodi M. Haghpanahi |
| author_sort | H. Pirali |
| collection | DOAJ |
| description | In this paper a combined node searching algorithm for simulation of crack discontinuities in meshless methods called combined visibility and surrounding triangles (CVT) is proposed. The element free Galerkin (EFG) method is employed for stress analysis of cracked bodies. The proposed node searching algorithm is based on the combination of surrounding triangles and visibility methods; the surrounding triangles method is used for support domains of nodes and quadrature points generated at the vicinity of crack faces and the visibility method is used for points located on the crack faces. In comparison with the conventional methods, such as the visibility, the transparency, and the diffraction method, this method is simpler with reasonable efficiency. To show the performance of this method, linear elastic fracture mechanics analyses are performed on number of standard test specimens and stress intensity factors are calculated. It is shown that the results are in good agreement with the exact solution and with those generated by the finite element method (FEM). |
| format | Article |
| id | doaj-art-0df4a38ecab34603add120730cf3889c |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0df4a38ecab34603add120730cf3889c2025-08-20T03:17:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/715613715613Combined Visibility and Surrounding Triangles Method for Simulation of Crack Discontinuities in Meshless MethodsH. Pirali0F. Djavanroodi1M. Haghpanahi2School of Mechanical Engineering, Iran University of Science and Technology, Tehran, IranSchool of Mechanical Engineering, Iran University of Science and Technology, Tehran, IranSchool of Mechanical Engineering, Iran University of Science and Technology, Tehran, IranIn this paper a combined node searching algorithm for simulation of crack discontinuities in meshless methods called combined visibility and surrounding triangles (CVT) is proposed. The element free Galerkin (EFG) method is employed for stress analysis of cracked bodies. The proposed node searching algorithm is based on the combination of surrounding triangles and visibility methods; the surrounding triangles method is used for support domains of nodes and quadrature points generated at the vicinity of crack faces and the visibility method is used for points located on the crack faces. In comparison with the conventional methods, such as the visibility, the transparency, and the diffraction method, this method is simpler with reasonable efficiency. To show the performance of this method, linear elastic fracture mechanics analyses are performed on number of standard test specimens and stress intensity factors are calculated. It is shown that the results are in good agreement with the exact solution and with those generated by the finite element method (FEM).http://dx.doi.org/10.1155/2012/715613 |
| spellingShingle | H. Pirali F. Djavanroodi M. Haghpanahi Combined Visibility and Surrounding Triangles Method for Simulation of Crack Discontinuities in Meshless Methods Journal of Applied Mathematics |
| title | Combined Visibility and Surrounding Triangles Method for Simulation of Crack Discontinuities in Meshless Methods |
| title_full | Combined Visibility and Surrounding Triangles Method for Simulation of Crack Discontinuities in Meshless Methods |
| title_fullStr | Combined Visibility and Surrounding Triangles Method for Simulation of Crack Discontinuities in Meshless Methods |
| title_full_unstemmed | Combined Visibility and Surrounding Triangles Method for Simulation of Crack Discontinuities in Meshless Methods |
| title_short | Combined Visibility and Surrounding Triangles Method for Simulation of Crack Discontinuities in Meshless Methods |
| title_sort | combined visibility and surrounding triangles method for simulation of crack discontinuities in meshless methods |
| url | http://dx.doi.org/10.1155/2012/715613 |
| work_keys_str_mv | AT hpirali combinedvisibilityandsurroundingtrianglesmethodforsimulationofcrackdiscontinuitiesinmeshlessmethods AT fdjavanroodi combinedvisibilityandsurroundingtrianglesmethodforsimulationofcrackdiscontinuitiesinmeshlessmethods AT mhaghpanahi combinedvisibilityandsurroundingtrianglesmethodforsimulationofcrackdiscontinuitiesinmeshlessmethods |