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Numerical formulations and algorithms for solving contact problems in metal forming simulation

Abstract : The problem of contact between a part and a tool or between two deforming bodies is analysed in view of metal-forming processes. For simplicity, only the case of viscoplastic materials is considered. The velocity formulation is presented. The contact with a rigid tool is considered first and various forms of contact formulations are described: nodal contact, integral or discrete formulation with a penalty or with a Lagrange multiplier method. The time integration is considered which results in various explicit or;implicit contact formulations. A special attention is paid to the contact between two deforming bodies or to the self-contact when a fold is generated in the work-piece. Some 2-D and 3-D application examples illustrate the effectiveness of the proposed formulations and algorithms.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00541005
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Submitted on : Monday, November 29, 2010 - 4:03:34 PM
Last modification on : Wednesday, October 14, 2020 - 3:48:23 AM

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Lionel Fourment, Jean-Loup Chenot, Katia Mocellin. Numerical formulations and algorithms for solving contact problems in metal forming simulation. International Journal for Numerical Methods in Engineering, Wiley, 1999, Papers presented at the Fourth World Congress on Computational Mechanics (IV WCCM), Buenos Aires, Argentina, 29 June–2 July 1998. Solid and Fluid Numerical Models for Advanced Engineering Problems, 46 (9), pp.1435-1462. ⟨10.1002/(SICI)1097-0207(19991130)46:9<1435::AID-NME707>3.3.CO;2-0⟩. ⟨hal-00541005⟩

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