Consideration of geometric nonlinearity in rigid-plastic finite element formulation of continuum elements for large deformation

International Journal of Mechanical Sciences

Volumn 39, Issue 12, 1997, Pages 1423-1440

  Lee, D W ^a   Yang, D Y ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Geometric nonlinearity; Large deformation; Rigid plastic finite element method

Indexed keywords

DEEP DRAWING; ELASTOPLASTICITY; FINITE ELEMENT METHOD; PLASTICITY; SHEET METAL; STRAIN; STRETCHING;

GEOMETRIC NONLINEARITY; RIGID PLASTIC FINITE ELEMENT METHOD;

DEFORMATION;

EID: 0031387323     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7403(97)00025-8     Document Type: Article

References (17)

1. Lee, C. H. and Kobayashi, S., New solutions to rigid-plastic deformation problems using a matrix method, Journal of Engineering Industries Transactions ASME, 95, 865, 1973.
2. Malvern, L. E., Introduction to the mechanics of a Continuous Medium. Prentice-Hall, Englewood Cliff, NJ, 1968.
3. Bathe, K. J., Finite Element Procedures in Engineering Analysis. Prentice-Hall, Englewood Cliff, NJ, 1982.
4. Hibbit, H. D., Marcal, P. V. and Rice, J. R., A finite element formulation for problems of large strain and large displacemenmt. International Journal of Solids Structures, 1970, 6, 1069.
5. Nagtegaal, J. C. and Rebelo, N., On the development of a general purpose finite element program for analysis of forming processes. International Journal of Numerical Methods in Engineering, 1988, 25, 113.
6. Ping, LI, and Zhi-da, C., The updated co-moving coordinate formulation of continuum mechanics based on the S-R decomposition theorem. Computational Methods in Applied Mechanical Engineering, 1994, 114, 21.
7. Pai, P. F. and Nayfesh, A. H., A new method for the modeling of geometric nonlinearities in structures. Computer and Structures. 1988, 30, 957.
8. Wang, N. M. (ed.), A rigid-plastic rate sensitive finite element method for modeling sheet metal forming processes. In Numerical Analysis of Forming Processes, Wiley, Chichester, 1994.
9. Kim, Y. J. and Yang, D. Y., A rigid-plastic finite element formulation considering the effect of geometric change and its application to hydrostatic bulging. International Journal of Mechanical Sciences, 1985, 27, 453.
10. Yang, D. Y. and Kim, Y. J., Analysis of hydrostatic bulging of anisotropic rectangular diaphragms by the rigid-plastic finite element method. Journal of Engineering Industrial Transactions ASME, 1987, 109, 148.
11. Yang, D. Y. and Kim, Y. J., A rigid-plastic finite element formulation for the analysis of general deformation of planar anisotropic sheet metals and its applications. International Journal of Mechanical Science, 1986, 28, 825.
12. Chung, W. J., Kim, Y. J. and Yang, D. Y., Rigid-plastic finite element analysis of hydrostatic bulging of elliptic diaphragms using Hill's new yield criterion. International Journal of Mechanical Science, 31, 193, 1989.
13. Massoni, E., Soyris, N. and Chenot, J. L., Rigid-plastic deep drawing analysis with a 3-dimensional finite element modelisation. Proceedings NUMIFORM '89 Conference. A. A. Balkema, Rotterdam, 1989, p. 497.
14. Shimizu, T. and Sano, T., An application of a penalty method contact and friction algorithm to a 3-dimensional tool surface expressed by a B-spline patch. International Journal of Materials Processing Technology, 1995, 48, 207.
15. Germain, Y. Chung, K. and Wagoner, R. H., A rigid-viscoplastic finite element program for sheet forming analysis. 1989, 31, 1.
16. Kim, Y. J. and Yang, D. Y., A formulation for rigid-plastic finite element method considering work hardening effect. International Journal of Mechanical Science, 27, 1985, 487.
17. Yang, D. Y. Chung, W. J. and Shim, H. B., Rigid-plastic finite element analysis of sheet metal forming processes with initial guess generation. International Journal of Mechanical Science, 1990, 32, 687.