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Implicit scheme for contact analysis in non-steady state forming. (English) Zbl 0943.74067

From the summary: The finite element analysis of deformation of viscoplastic material involves contact between the tool and the workpiece. Here unilateral contact condition with the possibility of nodes originally in contact and losing contact subsequently, is analysed in non-steady state forming processes. Friction has been taken into consideration through a potential function. Node-to-node contact is analysed, and contact forces at the node are used to decide whether the node is to be released. Two different algorithms are presented for implementing the above computational scheme.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74M15 Contact in solid mechanics
74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
74M10 Friction in solid mechanics
Full Text: DOI

References:

[1] DOI: 10.1002/nme.1620210107 · Zbl 0551.73099 · doi:10.1002/nme.1620210107
[2] Coupez, T. and Chenot, J.L. (1992), ”Large deformations and automatic remeshing”, in Owen, D.R.J.et al. (Ed.), Computational Plasticity, Proc. of Third Int. Conf. Pineridge, pp. 1077-82.
[3] Fourment, L., Miles, M.P. and Chenot J.L. (1995), ”Incremental mass conservation and adaptive remeshing for the thermo-mechanical coupling between workpiece and tools in non-steady state metal forming”, Proceedings of the 5th International Conference on Numerical Methods in Industrial Forming Processes, 18-21 June, Ithaca, New York, NY, Balkema, Rotterdam, pp. 431-4.
[4] Montmitonnet, P., Germain, Y. and Chenot, J.L. (1988), ”Applications of finite element method to contact, friction and lubrication in metal forming”, JMTA, special issue, Vol. 7, pp. 193-208.
[5] DOI: 10.1016/B978-0-08-037522-9.50036-2 · doi:10.1016/B978-0-08-037522-9.50036-2
[6] DOI: 10.1108/eb023893 · doi:10.1108/eb023893
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