Abstract
Based on the variational equation derived in ref. [1], a nonlinear incremental F.E. equation is formulated for unilateral contact elastic and plastic large deformation problems. A new technique-co-moving coordinate finite element method is introduced, and a practical mathematical model for large deformation contact problem is described. To show the effectiveness of the method, problems of contact large deformation of cantilever beam, circular plate, as well as metal ring are computed. Compared with experiments, the results show good agreements.
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Shang Yong and Chen Zhi-da. On unilateral contact large deformation problem with friction, I — Incremental variational equations,Appl. Math. and Mech. 10, 12 (1989). 1107–1117.
Reddy, T. Yella and S. R. Reid. Phenomena associated with the crushing of metal tubes between rigid plates,Int. J. Solids and Struct.,16 (1980), 545–562.
Taylor, L. M. and E. B. Backer, Some computational aspects of large deformation, rate-deptendent plasticity problems,Comp. Maths. Appl. Mech. Eng.,41 (1983), 251–278.
Oden. J. T. and G. F. Carey,Finite Element. Vol. V, Prentice-Hall, Inc. (1984).
Chen Zhi-da,Rational Mechanics, China Institute of Mining and Technology Press, Xuzhou, (1988). (in Chinese)
Shang Yong, Theoretical and finite element analysis for elastic and plastic large deformation contact problems with friction. Ph. D. Dissertation, China Institute of Mining (1987). (in Chinese)
Shang Yong and Chen Zhi-da, On Objective stress rate in co-moving coordinate,Appl. Math. and Mech. 10, 2 (1989), 103–112.
Neale, K. W., Phenomenological constitutive laws in finite plasticity,SM Archives,6 (1981), 79–129.
Shang Yong and Chen Zhi-da, Analysis of large elastic-plastic deformation by finite element method using co-moving coordinate,Proc. ICNM, Shanghai (Ed by Chien Wei-zang), Science Press (1985), 1294–1301.
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Yong, S., Zhi-da, C. On unilateral contact large deformation problem with friction (II) — Nonlinear finite element technique and its application. Appl Math Mech 11, 1–11 (1990). https://doi.org/10.1007/BF02014566
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DOI: https://doi.org/10.1007/BF02014566