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

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:94-95

Article

Weisz-Patrault, Daniel¹  Ehrlacher, Alain²  Legrand, Nicolas³ 

[1] Univ Paris Saclay, CNRS, Ecole Polytech, LMS, F-91128 Palaiseau, France

[2] Ecole Ponts ParisTech, CNRS, Lab Navier, 6 & 8 Ave Blaise Pascal, F-77455 Marne La Vallee, France

[3] ArcelorMittal Global Res & Dev, East Chicago 3001 East Columbus Dr, E Chicago, IN 46312 USA

关键词: Coiling;    Roughness;    Contact;    Multiplicative elasto-plasticity;    Finite strains;    Optimization;   

DOI  :  10.1016/j.ijsolstr.2016.05.012

来源: Elsevier

【 摘 要 】

In this paper numerical simulations of coiling (winding of a steel strip on itself) and uncoiling are developed. Initial residual stress field is taken into account as well as roughness of contacts and elastic-plastic behavior at finite strains, considering the Tresca yield function and isotropic hardening. The main output is the residual stress field due to plastic deformations during the process. This enables to quantify additional flatness 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 difficult to perform in terms of computation times and stability if an explicit integration scheme is chosen. Numerical results are also given in order to determine the effect of some parameters such as roughness, yield stress, applied force, strip crown or mandrel's radius. (C) 2016 Elsevier Ltd. All rights reserved.

【 授权许可】

Free