An improved meshless method for finite deformation problem in compressible hyperelastic media
Vietnam Journal of Mechanics
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Title |
An improved meshless method for finite deformation problem in compressible hyperelastic media
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Creator |
Nguyen, Nha Thanh
Nguyen, Minh Ngoc Truong, Thien Tich Bui, Tinh Quoc |
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Subject |
CTM-based meshless RPIM; hyperelastic materials; large deformation
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Description |
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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Publisher |
Publishing House for Science and Technology
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Contributor |
—
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Date |
2021-03-31
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Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion — |
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Format |
application/pdf
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Identifier |
http://vjs.ac.vn/index.php/vjmech/article/view/15332
10.15625/0866-7136/15332 |
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Source |
Vietnam Journal of Mechanics; Vol 43, No 1 (2021); 27-41
Vietnam Journal of Mechanics; Vol 43, No 1 (2021); 27-41 0866-7136 0866-7136 |
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Language |
eng
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Relation |
http://vjs.ac.vn/index.php/vjmech/article/view/15332/pdf
http://vjs.ac.vn/index.php/vjmech/article/downloadSuppFile/15332/3736 |
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Rights |
Copyright (c) 2021 Vietnam Academy of Science and Technology
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