A Numerical Study on Ductile Material Failure


Article Preview

Experiments show that the failure of ductile materials can be characterized by a rate-independent parameter, relative spacing d defined as the ratio of the distance between two voids and the radius of voids. In this study, this experimental phenomenon is analyzed via numerical simulations using 3-D finite element model. Considering that hydrostatic stress is a dominant factor in the evolution of microvoid nucleation, growth and coalescence in ductile materials, numerical simulations are performed to obtain the relationship between relative spacing d and hydrostatic stress in the ligament between voids. Numerical results show that hydrostatic stress along matrix ligament is sensitive to the change of the relative spacing. Further analysis shows that the failure of ductile materials can modeled by using a criterion of the threshold of local hydrostatic stress in the ligament. Based on such a criterion, a curve displaying the relationship between the strength of ductile material and strain rate is obtained numerically. It is concluded that the failure criterion of ductile materials can be described by using local hydrostatic stress and relative spacing between two voids, which is not sensitive to strain rates.



Key Engineering Materials (Volumes 324-325)

Edited by:

M.H. Aliabadi, Qingfen Li, Li Li and F.-G. Buchholz




K. Qin and L. M. Yang, "A Numerical Study on Ductile Material Failure", Key Engineering Materials, Vols. 324-325, pp. 483-486, 2006

Online since:

November 2006





[1] Ashby M. F., Blunt F. J. and Bannister M., Acta Metall., 37, 1847-1857 (1989).

[2] Liu B., Qiu X., Huang Y., Hwang K.C., Li M. and Liu C., J. Mech. Phys. Solids, 51, 1171-1187 (2003).

[3] Laurence Campagne, Loıc Daridon and Saıd Ahzi, Mechanics of Materials, 37, 869-886 (2005).

[4] Goldthorpe B. D., J Phys III, C3, 705-710 (1997).

[5] Barton D. C., Int. J. of Impact Engineering, 30, 1147-1159 (2004).

[6] Mediavilla J., Peerlings R. H. J. and Geers M. G. D., Computer Methods in Applied Mechanics and Engineering, In Press, Corrected Proof, Available online 28 November (2005).

[7] McCIintock F. A., J. Appl. Mech., 35, 363-37l (1968).

[8] Garrison W. M. and Thompson A. W. M., Metall. Trans., 17A, 2249-2253 (1986).

[9] Tvergaard V., Int. J. Fracture, 17, 389-407 (1981).

[10] Tvergaard V. and Needleman A., Acta Metall., 32, 157-169 (1984).