Curvature of an elasto-plastic strip at finite strains : application to fast simulation of coils

Daniel Weisz-Patrault (1) , Alain Ehrlacher (2, 3)

1 LMS - Laboratoire de mécanique des solides
2 msa - Matériaux et Structures Architecturés
3 navier umr 8205 - Laboratoire Navier

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 elasto-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.

Domaines: Mécanique des solides [physics.class-ph]

Daniel Weisz-Patrault, Alain Ehrlacher. Curvature of an elasto-plastic strip at finite strains : application to fast simulation of coils. Congrès Français de Mécanique, Association Française de Mécanique, Aug 2015, Lyon, France. ⟨hal-01275177⟩