A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials
This paper presents a cell-based smoothed extended finite element method (CS-XFEM) to analyze fractures in piezoelectric materials. The method, which combines the cell-based smoothed finite element method (CS-FEM) and the extended finite element method (XFEM), shows advantages of both methods. The c...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/4125307 |
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| _version_ | 1832552532646297600 |
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| author | Li Ming Zhou Guang Wei Meng Feng Li Shuai Gu |
| author_facet | Li Ming Zhou Guang Wei Meng Feng Li Shuai Gu |
| author_sort | Li Ming Zhou |
| collection | DOAJ |
| description | This paper presents a cell-based smoothed extended finite element method (CS-XFEM) to analyze fractures in piezoelectric materials. The method, which combines the cell-based smoothed finite element method (CS-FEM) and the extended finite element method (XFEM), shows advantages of both methods. The crack tip enrichment functions are specially derived to represent the characteristics of the displacement field and electric field around the crack tip in piezoelectric materials. With the help of the smoothing technique, integrating the singular derivatives of the crack tip enrichment functions is avoided by transforming interior integration into boundary integration. This is a significant advantage over XFEM. Numerical examples are presented to highlight the accuracy of the proposed CS-XFEM with the analytical solutions and the XFEM results. |
| format | Article |
| id | doaj-art-d72a4a50fe664121b19ec62ed0693bd0 |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-d72a4a50fe664121b19ec62ed0693bd02025-02-03T05:58:34ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422016-01-01201610.1155/2016/41253074125307A Cell-Based Smoothed XFEM for Fracture in Piezoelectric MaterialsLi Ming Zhou0Guang Wei Meng1Feng Li2Shuai Gu3School of Mechanical Science and Engineering, Jilin University, Changchun 130025, ChinaSchool of Mechanical Science and Engineering, Jilin University, Changchun 130025, ChinaSchool of Mechanical Science and Engineering, Jilin University, Changchun 130025, ChinaSchool of Mechanical Science and Engineering, Jilin University, Changchun 130025, ChinaThis paper presents a cell-based smoothed extended finite element method (CS-XFEM) to analyze fractures in piezoelectric materials. The method, which combines the cell-based smoothed finite element method (CS-FEM) and the extended finite element method (XFEM), shows advantages of both methods. The crack tip enrichment functions are specially derived to represent the characteristics of the displacement field and electric field around the crack tip in piezoelectric materials. With the help of the smoothing technique, integrating the singular derivatives of the crack tip enrichment functions is avoided by transforming interior integration into boundary integration. This is a significant advantage over XFEM. Numerical examples are presented to highlight the accuracy of the proposed CS-XFEM with the analytical solutions and the XFEM results.http://dx.doi.org/10.1155/2016/4125307 |
| spellingShingle | Li Ming Zhou Guang Wei Meng Feng Li Shuai Gu A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials Advances in Materials Science and Engineering |
| title | A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials |
| title_full | A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials |
| title_fullStr | A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials |
| title_full_unstemmed | A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials |
| title_short | A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials |
| title_sort | cell based smoothed xfem for fracture in piezoelectric materials |
| url | http://dx.doi.org/10.1155/2016/4125307 |
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