Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications
An overview on the development of hybrid fundamental solution based finite element method (HFS-FEM) and its application in engineering problems is presented in this paper. The framework and formulations of HFS-FEM for potential problem, plane elasticity, three-dimensional elasticity, thermoelasticit...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/916029 |
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| author | Changyong Cao Qing-Hua Qin |
| author_facet | Changyong Cao Qing-Hua Qin |
| author_sort | Changyong Cao |
| collection | DOAJ |
| description | An overview on the development of hybrid fundamental solution based finite element method (HFS-FEM) and its application in engineering problems is presented in this paper. The framework and formulations of HFS-FEM for potential problem, plane elasticity, three-dimensional elasticity, thermoelasticity, anisotropic elasticity, and plane piezoelectricity are presented. In this method, two independent assumed fields (intraelement filed and auxiliary frame field) are employed. The formulations for all cases are derived from the modified variational functionals and the fundamental solutions to a given problem. Generation of elemental stiffness equations from the modified variational principle is also described. Typical numerical examples are given to demonstrate the validity and performance of the HFS-FEM. Finally, a brief summary of the approach is provided and future trends in this field are identified. |
| format | Article |
| id | doaj-art-a23a90dd24424b92bfc3ff02db0e6677 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-a23a90dd24424b92bfc3ff02db0e66772025-08-20T02:20:55ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/916029916029Hybrid Fundamental Solution Based Finite Element Method: Theory and ApplicationsChangyong Cao0Qing-Hua Qin1Research School of Engineering, The Australian National University, Acton, ACT 2601, AustraliaResearch School of Engineering, The Australian National University, Acton, ACT 2601, AustraliaAn overview on the development of hybrid fundamental solution based finite element method (HFS-FEM) and its application in engineering problems is presented in this paper. The framework and formulations of HFS-FEM for potential problem, plane elasticity, three-dimensional elasticity, thermoelasticity, anisotropic elasticity, and plane piezoelectricity are presented. In this method, two independent assumed fields (intraelement filed and auxiliary frame field) are employed. The formulations for all cases are derived from the modified variational functionals and the fundamental solutions to a given problem. Generation of elemental stiffness equations from the modified variational principle is also described. Typical numerical examples are given to demonstrate the validity and performance of the HFS-FEM. Finally, a brief summary of the approach is provided and future trends in this field are identified.http://dx.doi.org/10.1155/2015/916029 |
| spellingShingle | Changyong Cao Qing-Hua Qin Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications Advances in Mathematical Physics |
| title | Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications |
| title_full | Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications |
| title_fullStr | Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications |
| title_full_unstemmed | Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications |
| title_short | Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications |
| title_sort | hybrid fundamental solution based finite element method theory and applications |
| url | http://dx.doi.org/10.1155/2015/916029 |
| work_keys_str_mv | AT changyongcao hybridfundamentalsolutionbasedfiniteelementmethodtheoryandapplications AT qinghuaqin hybridfundamentalsolutionbasedfiniteelementmethodtheoryandapplications |