An improved meshless method for finite deformation problem in compressible hyperelastic media
Hyperelastic materials are considered as special category of elastic solid materials because of their nonlinear complicated constitutive laws. Due to large strain state, the behaviour of such materials is often considered in finite deformation analysis. The nonlinear large deformation behavior of s...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2021-03-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/15332 |
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| author | Nha Thanh Nguyen Minh Ngoc Nguyen Thien Tich Truong Tinh Quoc Bui |
| author_facet | Nha Thanh Nguyen Minh Ngoc Nguyen Thien Tich Truong Tinh Quoc Bui |
| author_sort | Nha Thanh Nguyen |
| collection | DOAJ |
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Hyperelastic materials are considered as special category of elastic solid materials because of their nonlinear complicated constitutive laws. Due to large strain state, the behaviour of such materials is often considered in finite deformation analysis. The nonlinear large deformation behavior of such materials is important. In this study, a novel meshless radial point interpolation method (RPIM) enhanced by Cartesian transformation method (CTM), an effective numerical integration, is presented for nonlinear behavior of hyperelastic media under finite deformation state with total Lagrange formulation. Unlike the mesh-based approaches, the meshless methods have shown their advantages in analysis of large deformation problems. The developed CTM-based RPIM is thus free from the need for background cells, which are often used for numerical integration in many conventional meshfree approaches. The developed meshfree method owns some desirable features of an effective technique in solving large deformation, which will be illustrated through the numerical experiments in which our computed results are validated against reference solutions derived from other approaches.
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| format | Article |
| id | doaj-art-71c8e7d42fbc4dc9a79cc76591e034bb |
| institution | OA Journals |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2021-03-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-71c8e7d42fbc4dc9a79cc76591e034bb2025-08-20T02:10:38ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822021-03-0143110.15625/0866-7136/15332An improved meshless method for finite deformation problem in compressible hyperelastic mediaNha Thanh Nguyen0https://orcid.org/0000-0001-9733-5189Minh Ngoc Nguyen1Thien Tich Truong2Tinh Quoc Bui3Department of Engineering Mechanics, Faculty of Applied Science, Ho Chi Minh City University of Technology (HCMUT), Vietnam National University Ho Chi Minh City (VNU-HCM), VietnamDepartment of Engineering Mechanics, Faculty of Applied Science, Ho Chi Minh City University of Technology (HCMUT), Vietnam National University Ho Chi Minh City (VNU-HCM), VietnamDepartment of Engineering Mechanics, Faculty of Applied Science, Ho Chi Minh City University of Technology (HCMUT), Vietnam National University Ho Chi Minh City (VNU-HCM), VietnamDepartment of Civil and Environmental Engineering, Tokyo Institute of Technology, Japan Hyperelastic materials are considered as special category of elastic solid materials because of their nonlinear complicated constitutive laws. Due to large strain state, the behaviour of such materials is often considered in finite deformation analysis. The nonlinear large deformation behavior of such materials is important. In this study, a novel meshless radial point interpolation method (RPIM) enhanced by Cartesian transformation method (CTM), an effective numerical integration, is presented for nonlinear behavior of hyperelastic media under finite deformation state with total Lagrange formulation. Unlike the mesh-based approaches, the meshless methods have shown their advantages in analysis of large deformation problems. The developed CTM-based RPIM is thus free from the need for background cells, which are often used for numerical integration in many conventional meshfree approaches. The developed meshfree method owns some desirable features of an effective technique in solving large deformation, which will be illustrated through the numerical experiments in which our computed results are validated against reference solutions derived from other approaches. https://vjs.ac.vn/index.php/vjmech/article/view/15332CTM-based meshless RPIMhyperelastic materialslarge deformation |
| spellingShingle | Nha Thanh Nguyen Minh Ngoc Nguyen Thien Tich Truong Tinh Quoc Bui An improved meshless method for finite deformation problem in compressible hyperelastic media Vietnam Journal of Mechanics CTM-based meshless RPIM hyperelastic materials large deformation |
| title | An improved meshless method for finite deformation problem in compressible hyperelastic media |
| title_full | An improved meshless method for finite deformation problem in compressible hyperelastic media |
| title_fullStr | An improved meshless method for finite deformation problem in compressible hyperelastic media |
| title_full_unstemmed | An improved meshless method for finite deformation problem in compressible hyperelastic media |
| title_short | An improved meshless method for finite deformation problem in compressible hyperelastic media |
| title_sort | improved meshless method for finite deformation problem in compressible hyperelastic media |
| topic | CTM-based meshless RPIM hyperelastic materials large deformation |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/15332 |
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