Micromechanical Models of Ductile Damage and Fracture
Two classes of micromechanics-based models of void enlargement are presented succinctly with their fundamental hypotheses and synopsis of derivation highlighted. The first class of models deals with conventional void growth, i.e., under conditions of generalized plastic flow within the elementary volume. The second class of models deals with void coalescence, i.e., an accelerated void growth process in which plastic flow is highly localized. The structure of constitutive relations pertaining to either class of models is the same but their implications are different. With this as basis, two kinds of integrated models are presented which can be implemented in a finite-element code and used in ductile fracture simulations, in particular for metal forming processes. This chapter also describes elements of material parameter identification and how to use the integrated models.
KeywordsPorosity Anisotropy Hexagonal Ductility Riser
This research was supported by NPRP grant No 4-1411-2-555 from the Qatar National Research Fund (a member of Qatar Foundation). The statements made herein are solely the responsibility of the author. Partial support from the National Science Foundation (Grant Number DMR-0844082) is gratefully acknowledged.
- A.A. Benzerga, J.-B. Leblond, Effective yield criterion accounting for microvoid coalescence. J. Appl. Mech. 81, 031009 (2014)Google Scholar
- F.M. Beremin, Experimental and numerical study of the different stages in ductile rupture: application to crack initiation and stable crack growth, in Three-Dimensional Constitutive relations of Damage and Fracture, ed. by S. Nemat-Nasser (Pergamon press, North Holland, 1981), pp. 157–172Google Scholar
- M. Gologanu, Etude de quelques problèmes de rupture ductile des métaux. Ph.D. thesis, Université Paris 6, 1997Google Scholar
- K. Madou, J.-B. Leblond, Numerical studies of porous ductile materials containing arbitrary ellipsoidal voids – I: Yield surfaces of representative cells. Eur. J. Mech. 42, 480–489 (2013)Google Scholar
- K. Madou, J.-B. Leblond, Numerical studies of porous ductile materials containing arbitrary ellipsoidal voids – II: Evolution of the magnitude and orientation of the void axes. Eur. J. Mech. Volume 42, 490–507 (2013)Google Scholar