A three-dimensional cell-based smoothed finite element method for elasto-plasticity

详细信息    查看全文

• 作者：Kyehyung Lee (1)
  Jae Hyuk Lim (2)
  Dongwoo Sohn (3)
  Seyoung Im (1)
  
• 关键词：Finite element method ; Strain smoothing ; Elasto ; plasticity ; Finite deformations ; Cell ; based smoothed finite element method
• 刊名：Journal of Mechanical Science and Technology
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：29
• 期：2
• 页码：611-623
• 全文大小：2,459 KB
• 参考文献：1. G. R. Liu, K. Y. Dai and T. T. Nguyen, A smoothed finite element for mechanics problems, / Comput. Mech., 39 (2007) 859鈥?77. CrossRef
  2. G. R. Liu, T. T. Nguyen, K. Y. Dai and K. Y. Lam, Theoretical aspects of the smoothed finite elements (SFEM), / Int. J. Numer. Methods Eng., 71 (2007) 902鈥?30. CrossRef
  3. K. Y. Dai, G. R. Liu and T. T. Nguyen, An n-sided polygonal smoothed finite element method (nSFEM) for solid mechanics, / Finite Elem. Anal. Des., 43 (2007) 847鈥?60. CrossRef
  4. J. H. Lim, D. Sohn, J. H. Lee and S. Im, Variable-node finite elements with smoothed integration techniques and their applications for multiscale mechanics problems, / Comput. and Struct., 88 (2010) 413鈥?25. CrossRef
  5. G. R. Liu and T. T. Nguyen, / Smoothed Finite Element Methods, CRC Press, Florida, USA (2010). CrossRef
  6. H. Nguyen-Xuan, S. Bordas and H. Nguyen-Dang, Smooth finite element methods: convergence, accuracy and properties, / Int. J. Numer. Methods Engrg., 74 (2008) 175鈥?08. CrossRef
  7. G. R. Liu, A generalized gradient smoothing technique and the smoothed bilinear form for Galerkin formulation of a wide class of computational methods, / Int. J. Comput. Methods, 5 (2008) 199鈥?36. CrossRef
  8. H. Nguyen-Xuan, T. Rabczuk, S. Bordas and J. F. Debongnie, A smoothed finite element method for plate analysis, / Comput. Methods Appl. Mech. Engrg., 197 (2008) 1184鈥?203. CrossRef
  9. N. Nguyen-Thanh, T. Rabczuk, H. Nguyen-Xuan and S. P. A. Bordas, A smoothed finite element method for shell analysis, / Comput. Methods Appl. Mech. Engrg., 198 (2008) 165鈥?77. CrossRef
  10. J. R. Thomas, / Hughes and Englewood Cliffs, The finite element method: linear static and dynamic finite element analysis, Prentice-Hall, NJ, USA (1987).
  11. H. Nguyen-Xuan, S. Bordas and H. Nguyen-Dang, Addressing volumetric locking and instabilities by selective integration in smoothed finite elements, / Commun. Numer. Methods Eng., 25 (2008) 19鈥?4.
  12. J. C. Simo and T. J. R. Hughes, / Computational inelasticity, Springer, New York, USA (1992).
  13. J. C. Simo and J. C. Miehe, Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation, / Comput. Methods Appl. Mech. Engrg., 98 (1992) 41鈥?94. CrossRef
  14. J. C. Nagtegaal and J. E. De Jong, Some computational aspects of elastic-plastic large strain analysis, / Int. J. Numer. Meths. Engrg., 17 (1981) 15鈥?1. CrossRef
  15. D. Sohn, Y.-S. Cho and S. Im, A novel scheme to generate meshes with hexahedral elements and poly-pyramid elements: The carving technique, / Computer methods in applied mechanics and engineering, 201鈥?04 (2012) 208鈥?27. CrossRef
  16. D. Sohn, J. Han, Y.-S. Cho and S. Im, A finite element scheme with the aid of a new carving technique combined with smoothed integration, / Computer methods in applied mechanics and engineering, 254 (2013) 42鈥?0. CrossRef
  17. J. C. Simo, A framework for finite strain elastoplasticity based on maximum plastic dissipation and multiplicative decomposition. Part I: Continuum formulation, / Computer methods in applied mechanics and engineering, 66 (1988) 199鈥?19. CrossRef
  18. J. C. Simo, A framework for finite strain elastoplasticity based on maximum plastic dissipation and multiplicative decomposition. Part II: Computational aspects, / Computer methods in applied mechanics and engineering, 68 (1988) 1鈥?1. CrossRef
  19. T. Belytschko, / Nonlinear finite elements for continua and structures, WILEY, New York, USA (2000).
  20. L. M. Taylor and E. B. Becker, Some computational aspects of large deformation, rate-dependent plasticity problems, / Computer methods in applied mechanics and engineering, 41 (1983) 251鈥?77. CrossRef
  
• 作者单位：Kyehyung Lee (1)
  Jae Hyuk Lim (2)
  Dongwoo Sohn (3)
  Seyoung Im (1)
  
  1. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology (KAIST), 291 Daehak-ro, Yuseong-gu, Daejeon, 305-701, Korea
  2. Satellite Structure Department, Korea Aerospace Research Institute (KARI), 169-84 Gwahak-ro, Yuseong-gu, Daejeon, 305-806, Korea
  3. Division of Mechanical and Energy Systems Engineering, College of Engineering, Korea Maritime and Ocean University, 727 Taejong-ro, Yeongdo-gu, Busan, 606-791, Korea
  
• 刊物类别：Engineering
• 刊物主题：Mechanical Engineering
  Structural Mechanics
  Control Engineering
  Industrial and Production Engineering
  
• 出版者：The Korean Society of Mechanical Engineers
• ISSN：1976-3824

文摘

This work is concerned with a three-dimensional cell-based smoothed finite element method for application to elastic-plastic analysis. The formulation of smoothed finite elements is extended to cover elastic-plastic deformations beyond the classical linear theory of elasticity, which has been the major application domain of smoothed finite elements. The finite strain deformations are treated with the aid of the formulation based on the hyperelastic constitutive equation. The volumetric locking originating from the nearly incompressible behavior of elastic-plastic deformations is remedied by relaxing the volumetric strain through the mean value. The comparison with the conventional finite elements demonstrates the effectiveness and accuracy of the present approach.