Mechanics & Industry
Volume 18, Number 2, 2017
|Number of page(s)||11|
|Published online||17 February 2017|
Imposed curvature of an elastic-plastic strip: application to simulation of coils
1 LMS, École Polytechnique, CNRS, Université Paris-Saclay, 91128 Palaiseau, France
2 Laboratoire Navier, Ponts ParisTech, 6 & 8 avenue Blaise Pascal, 77455 Marne La Vallee, France
a Corresponding author: email@example.com
Received: 2 December 2015
Accepted: 20 July 2016
This work is part of the framework of a fast modeling of winding aiming at improving knowledge of residual stress evolution in steel strips and therefore their flatness during the coiling process. An exact analytical solution of an elastic-plastic strip with isotropic hardening at finite strains under an imposed transformation of curvature is developed. Issues related to flow rules for non-differentiable yield functions (Tresca) have been broached and a unique solution is obtained. The equivalence for this transformation, between von Mises and Tresca yield functions is demonstrated. This solution contributes to an efficient model by terms of computation times that aims at simulating coiling by taking into account inelastic deformations and enabling parametric studies in order to improve the process.
Key words: Coiling / finite strains / plasticity / yield functions / tresca / von mises
© AFM, EDP Sciences 2017
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