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Non-linear simulation of coiling accounting for roughness of contacts and multiplicative elastic-plastic behavior.pdf

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Non-linear simulation of coiling accounting for roughness of contacts and multiplicative elastic-plastic behavior.pdf

International Journal of Solids and Structures 94–95 (2016) 1–20 Contents lists available at ScienceDirect International Journal of Solids and Structures journal homepage: /locate/ijsolstr Non-linear simulation of coiling accounting for roughness of contacts and multiplicative elastic-plastic behavior Daniel Weisz-Patrault a,?, Alain Ehrlacher b, Nicolas Legrand c a LMS, école Polytechnique, CNRS, Université Paris-Saclay, 91128 Palaiseau, France b Laboratoire Navier, CNRS, école Ponts ParisTech, 6 8 Ave Blaise Pascal, 77455 Marne La Vallee, France c ArcelorMittal Global Research Development East Chicago 3001 East Columbus Drive, East Chicago, IN 46312, USA article info Article history: Received 1 October 2015 Revised 9 May 2016 Available online 20 May 2016 Keywords: Coiling Roughness Contact Multiplicative elasto-plasticity Finite strains Optimization abstract In this paper numerical simulations of coiling (winding of a steel strip on itself) and uncoiling are developed. Initial residual stress ?eld is taken into account as well as roughness of contacts and elastic-plastic behavior at ?nite strains, considering the Tresca yield function and isotropic hardening. The main output is the residual stress ?eld due to plastic deformations during the process. This enables to quantify additional ?atness defects. The presented coiling simulation relies on a modeling strategy that consists in dividing each time step into two sub-steps. Each sub-step can be solved semi-analytically and numerical optimizations enable to obtain a general solution. Thus, reasonable computation times are reached and parametric studies can be performed in order to develop coiling strategies considering the process parameters. Comparisons with previous models from the literature are presented. Moreover, the comparison with a Finite Element simulation presents the same order of magnitude, however, it shows that direct computations using classical FE codes are di?cult to perform in terms of computati