Isogeometric analysis of linear isotropic and kinematic hardening elastoplasticity
Material nonlinearity is of great importance in many engineering problems. In this paper, we exploit NURBS-based isogeometric approach in solving materially nonlinear problems, i.e. elastoplastic problems. The von Mises model with linear isotropic hardening and kinematic hardening is presented, and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2017-03-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/7817 |
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| _version_ | 1850206969170755584 |
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| author | Khuong D. Nguyen Minh N. Nguyen Hoa V. Cong H. Nguyen-Xuan |
| author_facet | Khuong D. Nguyen Minh N. Nguyen Hoa V. Cong H. Nguyen-Xuan |
| author_sort | Khuong D. Nguyen |
| collection | DOAJ |
| description |
Material nonlinearity is of great importance in many engineering problems. In this paper, we exploit NURBS-based isogeometric approach in solving materially nonlinear problems, i.e. elastoplastic problems. The von Mises model with linear isotropic hardening and kinematic hardening is presented, and furthermore the method can also be applied to other elastoplastic models without any loss of generality. The NURBS basis functions allow us to describe exactly the curved geometry of underlying problems and control efficiently the accuracy of approximation solution. Once the discretized system of non-linear equilibrium equation is obtained, the Newton-Raphson iterative scheme is used. Several numerical examples are tested. The accuracy and reliability of the proposed method are verified by comparing with results from ANSYS Workbench software.
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| format | Article |
| id | doaj-art-e1a1e8fadb3346979fa553232d064259 |
| institution | OA Journals |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2017-03-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-e1a1e8fadb3346979fa553232d0642592025-08-20T02:10:39ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822017-03-0139110.15625/0866-7136/7817Isogeometric analysis of linear isotropic and kinematic hardening elastoplasticityKhuong D. Nguyen0Minh N. Nguyen1Hoa V. Cong2H. Nguyen-Xuan3Ho Chi Minh City University of Technology, VNU-HCMC, VietnamHo Chi Minh City University of Technology, VNU-HCMC, VietnamHo Chi Minh City University of Technology, VNU-HCMC, VietnamHo Chi Minh City University of Technology (HUTECH), Vietnam Material nonlinearity is of great importance in many engineering problems. In this paper, we exploit NURBS-based isogeometric approach in solving materially nonlinear problems, i.e. elastoplastic problems. The von Mises model with linear isotropic hardening and kinematic hardening is presented, and furthermore the method can also be applied to other elastoplastic models without any loss of generality. The NURBS basis functions allow us to describe exactly the curved geometry of underlying problems and control efficiently the accuracy of approximation solution. Once the discretized system of non-linear equilibrium equation is obtained, the Newton-Raphson iterative scheme is used. Several numerical examples are tested. The accuracy and reliability of the proposed method are verified by comparing with results from ANSYS Workbench software. https://vjs.ac.vn/index.php/vjmech/article/view/7817Isogeometric analysisNURBSRate-independent plasticityvon Mises yield criterionisotropic hardeningkinematic hardening |
| spellingShingle | Khuong D. Nguyen Minh N. Nguyen Hoa V. Cong H. Nguyen-Xuan Isogeometric analysis of linear isotropic and kinematic hardening elastoplasticity Vietnam Journal of Mechanics Isogeometric analysis NURBS Rate-independent plasticity von Mises yield criterion isotropic hardening kinematic hardening |
| title | Isogeometric analysis of linear isotropic and kinematic hardening elastoplasticity |
| title_full | Isogeometric analysis of linear isotropic and kinematic hardening elastoplasticity |
| title_fullStr | Isogeometric analysis of linear isotropic and kinematic hardening elastoplasticity |
| title_full_unstemmed | Isogeometric analysis of linear isotropic and kinematic hardening elastoplasticity |
| title_short | Isogeometric analysis of linear isotropic and kinematic hardening elastoplasticity |
| title_sort | isogeometric analysis of linear isotropic and kinematic hardening elastoplasticity |
| topic | Isogeometric analysis NURBS Rate-independent plasticity von Mises yield criterion isotropic hardening kinematic hardening |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/7817 |
| work_keys_str_mv | AT khuongdnguyen isogeometricanalysisoflinearisotropicandkinematichardeningelastoplasticity AT minhnnguyen isogeometricanalysisoflinearisotropicandkinematichardeningelastoplasticity AT hoavcong isogeometricanalysisoflinearisotropicandkinematichardeningelastoplasticity AT hnguyenxuan isogeometricanalysisoflinearisotropicandkinematichardeningelastoplasticity |