Springback Modeling in L-bending Process Using Continuum Damage Mechanics Concept

Document Type: Research Paper

Authors

Shiraz University

Abstract

Springback is one of the most common and important issues in metal forming area. Due to the fact that springback depends on a variety of parameters, it is hard to predict. Hence, in this paper, the effect of continuum damage mechanics (CDM) on springback was investigated based on the Lemaitre isotropic unified damage law. Swift’s hardening law was employed to describe isotropic hardening behavior. The results indicated that considering the damage mechanics concept in springback modeling increases the predictability of springback.

Keywords

Main Subjects

[1] B. S. Levy, Empirically derived equations for predicting springback in bending, Journal of AppliedWorking Metal, Vol. 3,pp. 135–141, 1984.

[2] Chan, K. C., Theoretical analysis of springback in bending of integrated circuit lead frames, International journal of materials processing technology, Vol. 91, pp. 111–115, 1999.

[3] Nguyen, V T., Chen, Z., Thomson, P F., Prediction of spring-back in anisotropic sheet metals, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 218, pp. 651-661, 2004.

[4] Gau, J. T., Kinzel, G. L., A new model for springback prediction in which the Bauschinger effect is considered, International journal of mechanical sciences, Vol. 43, pp. 1813–1832, 2001.

[5] Lee, M.G., Kim, D., Kim, C., Wenner, M.L., Chung, K., Springback evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions- part III: applications, International journal of plasticity, Vol. 21, pp. 915–953, 2005.

[6] Taherizadeh, A., Green, D., Ghaei, A., Yoon, J-W., A non-associated constitutive model with mixed iso-kinematic hardening for finite element simulation of sheet metal forming, International journal of plasticity, Vol. 26, pp. 288–309, 2010.

[7] Chatti, S., Hermi, N., The effect of non-linear recovery on springback prediction, Journal of Computers and Structures, Vol. 89, pp. 1367-1377, 2011.

[8] Yu, H. Y., Variation of elastic modulus during plastic deformation and its influence on springback, Journal of Materials and Design, Vol. 30, pp. 846-850, 2009.

[9] Yoshida, F., Uemori, T., A model of large-strain cyclic plasticity describing the Bauschinger effect and work hardening stagnation, International journal of plasticity, Vol. 18, pp. 661-686, 2002.

[10] Ghaei, A., Green, D., Taherizadeh, A., Semi-implicit numerical integration of Yoshida–Uemori two-surface plasticity model, International journal of mechanical sciences, Vol. 52, pp. 531–540, 2010.

[11] Chatti, S., Modeling of the elastic modulus evolution in unloading-reloading stages,International Journal of Material Forming,Vol. 6, pp. 96-101, 2013.

[12] Vrh, M., Halilovič, M., Starman, B., A new anisotropic elasto-plastic model with degradation of elastic modulus for accurate springback simulations, International Journal of Material Forming,Vol. 4, pp. 217–225, 2011.

[13] Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth, part I: yield criteria and flow rules for porous ductile materials,Journal of Engineering Material Technology, Vol. 99, pp. 2–15.

[14] Lemaitre, J., A course on damage mechanics, Springer Verlag, Berlin, 1992.

[15] Lemaitre, J., Desmorat, R., Engineering damage mechanics, Springer Verlag, Berlin, Heidelberg, 2005.

[16] Meinders T, Burchitz IA, Bonte MHA, Lingbeek RA. Numerical product design, springback prediction, compensation and optimization. International Journal of Machining Tools Manufacture2008;48:499–514.

[17] I. Burchitz, Springback: improvement of its predictability, Literature study report, NIMR project MC1.02121, Netherlands institute for metals research, 2005.