Abstract
A finite element formulation of an anisotropic theory of continuum damage mechanics for ductile fracture is presented. The formulation is based on a generalized model of anisotropic continuum damage mechanics of elasticity and plasticity proposed earlier by the authors. The validity of the proposed anisotropic damage model and finite element formulation is verified by comparing the predicted fracture load of center-cracked tension specimen made of thin aluminium alloy 2024-T3 with those determined experimentally and excellent agreement is achieved. The proposed finite element analysis can thus provide an important design tool to solve practical problems of engineering significance which may have hitherto been found difficult using the conventional fracture mechanics concept.
Résumé
On présente une formulation par éléments finis d'une théorie anisotrope de la mécanique d'endommagement d'un continuum, applicable aux ruptures ductiles. Cette formulation est basées sur la généralisation d'un modèle de mécanique d'endommagement d'un continuum anisotrope pour l'élasticité et la plasticité, proposé précédemment par les auteurs. On vérifie la validité du modèle d'endommagement anisotrope proposé et de sa formulation par éléments finis, en comparant aux valeurs expérimentales la charge de rupture prévue pour une éprouvette mince de traction d'alliage d'aluminium 2024-T3 présentant une fissure centrale. On trouve un excellent accord. L'analyse par éléments finis proposée peut ainsi constituer un outil de conception important pour résoudre des problèmes pratiques de construction que l'on aurait trouvé difficiles à traiter par les concepts de la mécanique de rupture traditionnelle.
Similar content being viewed by others
References
D.G.H. Latzko, Post-Yield Fracture Mechanics, Applied Science Publishers, London (1979).
J.R. Rice, Journal of Applied Mechanics 35 (1968) 379–396.
A.A. Wells, British Welding Journal (1963) 563–570.
F.M. Burdekin and D.E. Stone, Journal of Strain Analysis 2 (1966) 145–153.
P.C. Paris, H. Tada, A. Zahoor and H. Ernst, in ASTM STP 668 (1979) 5–36.
H. Tokahashi, M.A. Khan and M. Susuki, Journal of Testing and Evaluation 9 (1981) 14–23.
J.H. Giovanola and I. Finnie, SM Archives 9 (1984) 187–225.
J.H. Giovanola and I. Finnie, SM Archives 9 (1984) 227–257.
L.M. Kachanov, Introduction to Continuum Damage Mechanics, Kluwer Academic Publishers (1986).
J. Lemaitre and J.L. Chaboche, Mechanique des Materiaux Solides, Dunod (1985).
J. Lemaitre, in Proceedings ICMI, Kyoto, Japan (1971).
J. Hult, in Topics in Applied Continuum Mechanics, Zeman and Zeigler (eds.), Springer (1974) 137.
J.L. Chaboche, Rev. Franc. Mec (1974).
J. Lemaitre and J.L. Chaboche, in Proceedings IUTAM, Symposium on Mechanics of Viscoelastic Media and Bodies, Hult (ed.) (1975) 291–301.
M.P. Wnuk and R.D. Kriz, in ICF6, 4 (1984) 2859–2872.
S. Murakami and Y. Sanomura, Journal of Society of the Materials Science, Japan 35 (1986) 985–991 (in Japanese).
W.A. Trampczynski, D.R. Hayhurst,and F.A. Leckie, Journal of the Mechanics and Physics of Solids 29 (1981) 353–374.
D.R. Hayhurst, P.R. Brown and C.J. Morrison, Philosophical Transactions Royal Society London, A311 (1984) 131–158.
S. Murakami, in Proceedings Second International Conference on Constitutive Laws of Engineering Materials, Tucson, U.S.A. (1987).
K. Saanouni and J.L. Chaboche, Engineering Fracture Mechanics 25 (1986) 677–691.
G. Rousselier, J.C. Devaux and G. Mottet, Application of Continuum Damage Mechanics, SMIRT 8 (1985).
C.L. Chow and J. Wang, International Journal of Fracture 33 (1987) 3–16.
C.L. Chow and J. Wang, Engineering Fracture Mechanics 27 (1987) 547–558.
J.P. Cordebois, “Critéres d'instabilité plastique et endommagement ductile en grandes deformations”, Thése Docteur es Sciences Physiques, Univ. Paris VI, France (1983).
F. Sidoroff, in IUTAM Colloquium, Physical Nonlinearities in Structural Analysis (1981) 237–244.
K.J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Inc. (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chow, C.L., Wang, J. A finite element analysis of continuum damage mechanics for ductile fracture. Int J Fract 38, 83–102 (1988). https://doi.org/10.1007/BF00033000
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00033000