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Forming Limits Prediction of the Sheet Metal Forming Process by the Energy-Based Damage Model

Published online by Cambridge University Press:  05 May 2011

H.-Y. Yeh  and
J.-H. Cheng
H.-Y. Yeh*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
J.-H. Cheng*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Graduate student
**Professor, corresponding author
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Abstract

An energy-based damage model is proposed and applied to predict the fracture initiation of the sheet metal forming process. The fracture mechanism is investigated through the plastic energy dissipation. The concepts of the damaging work and the fracture energy are proposed for the quantitative description of damage evolution and crack initiation. The developed formulations are implemented into the finite element program ABAQUS to simulate the biaxial stretching of sheet metals and to predict the fracture strains. The material parameter needed in the damage model for fracture prediction is determined by the stress-strain history of the uniaxial tensile test. The forming limits for aluminum alloy sheets under various strain paths are predicted by the present approach and then compared to the measured data quoted from the literatures [1,2]. Good agreements are found between this study and the previous results.

Keywords

Damage modelSheet metal formingFracture energyFinite element simulationForming limit diagram (FLD).
Type
Articles
Information
Journal of Mechanics , Volume 22 , Issue 1 , March 2006 , pp. 43 - 50
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2006

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References

REFERENCES

1.Takuda, H., Mori, K. and Hatta, N., “The Application of Some Criteria for Ductile Fracture to the Prediction of the Forming Limit of Sheet Metals,” Journal of Materials Processing Technology, 95, pp. 116–121 (1999).CrossRefGoogle Scholar
2.Takuda, H., Mori, K., Takakura, N. and Yamaguchi, K., “Finite Element Analysis of Limit Strains in Biaxial Stretching of Sheet Metals Allowing for Ductile Fracture,” International Journal of Mechanical Sciences, 42, pp. 785–798 (2000).CrossRefGoogle Scholar
3.Chaboche, J. L., “Sur L'utilisation Des Variables De'état Interne Pour La Description Du Comportement Viscoplastique Et De La Rupture Par endommagement,” Symposium Franco-Polonais de Rhéologie et Mécanique, Cracovie (1977).Google Scholar
4.Ourson, A. L., “Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I - Yield Criteria and Flow Rules for Porous Ductile Media,” Journal of Engineering Materials and Technology, Transactions of the ASME 99, pp. 2–15 (1977).Google Scholar
5.Lemaitre, J., “A Continuous Damage Mechanics Model for Ductile Fracture,” Journal of Engineering Materials and Technology, 107, pp. 83–89 (1985).CrossRefGoogle Scholar
6.Lemaitre, J., Desmorat, R. and Sauzay, M., “Anisotropie Damage Law of Evolution,” European Journal of Mechanics-AlSolids, 19, pp. 187–208 (2000).CrossRefGoogle Scholar
7.Rousselier, G., “Ductile Fracture Models and Their Potential in Local Approach of Fracture,” Nuclear Engineering and Design, 105, pp. 97–111 (1987).CrossRefGoogle Scholar
8.Rousselier, G., “Dissipation in Porous Metal Plasticity and Ductile Fracture,” Journal of the Mechanics and Physics of Solids, 49, pp. 1727–1746 (2001).CrossRefGoogle Scholar
9.Yeh, H. Y., Huang, C. C. and Cheng, J. H., “On the Energy-Based Elastoplastic Damage Model and Application to Fracture Prediction in the Powder Forging Process,” Submitted to Journal for Materials Processing Technology (2004).Google Scholar
10.Freudenthal, A. M., The Inelastic Behavior of Solids, Wiley, New York (1950).Google Scholar
11.Cockcroft, M. G. and Latham, D. J., “Ductility and the Workability of Metals,” Journal of the Institute of Metals, 96, pp. 33–39 (1968).Google Scholar
12.Brozzo, P., Deluca, B. and Rendina, R., “A New Method for the Prediction of Formability Limits in Metal Sheets, Sheet Metal Forming and Formability,” Proceedings of the Seventh Biennial Conference of the International Deep Drawing Research Group, Amsterdam, Netherlands (1972).Google Scholar
13.Nakamachi, E., “Sheet-Forming Process Characterization by Static-Explicit Anisotropie Elastic-Plastic Finite-Element Simulation,” Journal of Materials Processing Technology, 50, pp. 116–132 (1995).CrossRefGoogle Scholar
14.Yoshida, T., Katayama, T. and Usuda, M., “Forming-Limit Analysis of Hemispherical-Punch Stretching Using the Three-Dimensional Finite-Element Method,” Journal of Materials Processing Technology, 50, pp. 226–237 (1995).CrossRefGoogle Scholar
15.Fung, Y. C., Foundations of Solid Mechanics, Prentice-Hall, New Jersey (1965)Google Scholar
16.Kachanov, L. M., On Creep Rupture Time, Otdelenie Teknicheskikh Nauk, Izvestiya Akademii Nauk SSSR 8, pp. 26–31 (1958).Google Scholar
17.Rabotnov, Y. N., “Creep Rupture“Proceedings of the XII International Congress on Applied Mechanics, pp. 342–349 (1968).CrossRefGoogle Scholar
18.Lemaitre, J., “Evaluation of Dissipation and Damage in Metals Submitted Dynamic Loading,” Proceedings of ICM1, Kyoto (1971).Google Scholar
19.Chaboche, J. L., “Le Concept de Contrainte Effective Appliqué à L'élasticité et à la Viscoplasticité En Présence D'un Endommagement Anisotrope,” Comportement Mécanique des Solides Anisotropes, EUROMECH Colloque, Martrnus Nijhoff, 115, pp. 737–760 (1979).Google Scholar
20.Krajcinovic, D. and Lemaitre, J., Continuum Damage Mechanics Theory and Applications, Springer Verlag, Wien (1987).CrossRefGoogle Scholar
21.Lemaitre, J. and Chaboche, J. L., Mechanics of Solid Materials, Cambridge University Press, London (1990).CrossRefGoogle Scholar
22.Lemaitre, J., A Course on Damage Mechanics, Springer-Verlag, Berlin (1992).CrossRefGoogle Scholar
23.Jain, M., Allin, J. and Lloyd, D. J., “Fracture Limit Prediction Using Ductile Fracture Criteria for Forming of an Automotive Aluminum Sheet,” International Journal of Mechanical Sciences, 41, pp. 1273–1288 (1999).CrossRefGoogle Scholar
24.Han, H. N. and Kim, K. H., “ADuctile Fracture Criterion in Sheet Metal Forming Process,” Journal of Materials Processing Technology, 142, pp. 231–238 (2003).CrossRefGoogle Scholar
25.Hartley, P., Sturgess, C. E. N. and Rowe, G. W., “Influence of Friction on the Prediction of Forces, Pressure Distributions and Properties in Upset Forging,” International Journal of Mechanical Sciences, 22, pp. 743–753 (1980).CrossRefGoogle Scholar
26.Jha, A. K. and Kumar, S., “Deformation Characteristics and Fracture Mechanisms During the Cold Forging of Metal Powder Performs,” International Journal of Machine Tool Design & Research, 26, pp. 369–384 (1986).CrossRefGoogle Scholar
27.Mamalis, A. G., Petrossian, G. L. and Manolakos, D. E., “Open-Die Forging of Sintered Cylindrical Billets: An Analytical Approach,” Journal of Materials Processing Technology, 96, pp. 112–116 (1999).CrossRefGoogle Scholar