On damage theory of a cohesive medium

International Journal of Engineering Science

Volumn 42, Issue 8-9, 2004, Pages 861-885

  Li, Shaofan ^a   Wang, Gang ^a  

^a Berkeley   (United States)

Author keywords

Cohesive crack model; Damage; Fracture; Micro mechanics; Plasticity

Indexed keywords

CRACK INITIATION; DEFORMATION; FAILURE ANALYSIS; FRACTURE; MATHEMATICAL MODELS; MICROCRACKS; PLASTICITY; STRESS ANALYSIS;

COHESIVE CRACK MODELS; DAMAGE THEORY; HOMOGENIZATION; NONLINEAR ELASTICITY;

COMPOSITE MICROMECHANICS;

EID: 2142700119     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2003.09.011     Document Type: Article

References (42)

1. Barenblatt G.I. The formation of equilibrium cracks during brittle fracture. Journal of Applied Mathematics and Mechanics, [English translation PMM, vol. 23, 434]. 23:1959;622.
2. Barenblatt G.I. Mathematical theory of equilibrium cracks in brittle fracture. Advances in Applied Mechanics. 7:1962;55-129. Academic Press.
3. Bilby B.A., Cottrell A.H., Smith E. Plastic yielding from sharp notches. Proceedings of Royal Society of London, Series A. 279:1964;1-9.
4. Budiansky B., Rice J.R. Conservation laws and energy release rates. ASME Journal of Applied Mechanics. 26:1973;201-203.
5. Budiansky B., O'Connell R.J. Elastic moduli of a cracked solid. International Journal of Solids and Structures. 12:1976;81-97.
6. Chen W.R., Keer L.M. Fatigue crack growth in mixed mode loading. ASME Journal of Engineering Materials and Technology. 113:1991;222-227.
7. Chen W.R., Keer L.M. Mixed-mode fatigue crack propagation of penny-shaped cracks. ASME Journal of Engineering Materials and Technology. 115:1993;365-372.
8. Dugdale D.S. Yielding of steel sheets containing slits. Journal of Mechanics and Physics of Solids. 8:1960;100-104.
9. Duva J.D., Hutchinson J.W. Constitutive potentials for dilutely voided nonlinear materials. Mechanics of Materials. 3:1984;41-54.
10. Fleck N. Brittle fracture due to an array of microcracks. Proceedings of the Royal Society (London). A432:1991;55-76.
11. Gologanu M., Leblond J.B., Devaux J. Recent extensions of Gurson's model for porous ductile metals. Suquet P. Continuum Micromechanics. 1995;61-130 Springer-Verlag.
12. Green A.E., Zerna W. Theoretical Elasticity. second ed. 1968;Oxford University Press.
13. A.L. Gurson, Plastic flow and fracture behavior of ductile materials incorporating void nucleation, growth and interaction, Ph.D. Thesis, Brown University, Rhode Island, 1975.
14. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth: Part I. Yield criteria and flow rules for porous ductile materials. ASME Journal of Engineering Materials and Technology. 99:1977;2-15.
15. Hencky von H. Zur theorie plastischer deformationen und der hierdurch im material hervorgerufen nachspannungen. rnal=Zeits. ang. Math. Mech. 4:1924;323-334.
16. Hill R. Elastic properties of reinforced solids: some theoretical principles. Journal of the Mechanics and Physics of Solids. 11:1963;357-372.
17. Hill R. Theory of mechanical properties of fiber-strengthened materials-III: Self-consistent model. Journal of the Mechanics and Physics of Solids. 13:1965;189-198.
18. Hill R. A self-consistent mechanics of composite materials. Journal of the Mechanics and Physics of Solids. 13:1965;213-222.
19. Kachanov M. Effective elastic properties of cracked solids: critical review of some basic concepts. Applied Mechanics Review. 45:1992;304-335.
20. Kachanov M. Elastic solids with many cracks and related problems. Hutchinson J.W., Wu T.Y. Advances in Applied Mechanics. vol. 32:1994;259-445 Academic Press, New York.
21. Keer L.M., Mura T. Stationary crack and continuous distributions of dislocations. Proceedings of The First International Conference on Fracture, The Japanese Society for Strength and Fracture of Materials. 1:1965;99-115.
22. Hori M., Nemat-Nasser S. Interacting micro-cracks near the tip in the process zone of a macro-crack. Journal of Mechanics and Physics of Solids. 35:1987;601-629.
23. Hutchinson J.W. Crack tip shielding by micro-cracking in brittle solids. Acta Metallurgica. 35:1987;1605-1619.
24. Ju J.W., Tseng K.H. Effective elastoplastic behavior of two-phase ductile matrix composites: a micromechanical framework. International Journal of Solids and Structures. 33:1996;4267-4291.
25. Ju J.W., Sun L.Z. Effective elastoplastic behavior of metal matrix composites containing randomly located aligned spheroidal inhomogeneities. Part I: Micromechanics-based formulation. International Journal of Solids and Structures. 38:2001;183-201.
26. Sun L.Z., Ju J.W. Effective elastoplastic behavior of metal matrix composites containing randomly located aligned spheroidal inhomogeneities. Part II: Applications. International Journal of Solids and Structures. 38:2001;203-225.
27. Kassir M.K., Sih G.C. Mechanics of Fracture: Three-dimensional Crack Problems. vol. 2:1975;Noordhoff International Publishing, Leyden.
28. Kfouri A.P. Crack separation energy-rates for the DBCS model under biaxial modes of loading. Journal of Mechanicsand Physics of Solids. 27:1979;135-150.
29. Krajcinovic D. Damage mechanics. 1996;Elsevier, Amsterdam, New York.
30. Lubarda V., Krajcinovic D. Damage tensors and crack density distribution. International Journal of Solids and Structures. 30:1993;2859-2877.
31. Lubarda V., Krajcinovic D. Tensorial representation of the effective elastic properties of the damages material. International Journal of Damage Mechanics. 3:1994;38-56.
32. McClintock F.A. A criterion for ductile fracture by the growth of holes. ASME Journal of Applied Mechanics. 35:1968;363-371.
33. Mura T. Micromechanics of Defects in Solids. 1987;Martinus Nijhoff Publishers, Dordrecht.
34. Nemat-Nasser S., Hori M. Micromechanics: overall properties of heterogeneous materials. second ed. 1999;Elsevier, Amsterdam-Lausanne-New York-Oxford.
35. Pardoen T., Hutchinson J.W. An extended model for void growth and coalescence. Journal of the Mechanics and Physics of Solids. 48:2000;2467-2512.
36. Rice J.R. A path independent integral and the approximate analysis of strain concentration by notches and cracks. ASME Journal of Applied Mechanics. 35:1968;379-386.
37. Rice J.R. Mathematical analysis in the mechanics of fracture. Liebowitz H. Fracture: An Advanced Treatise. vol. 2:1968;191-311 Academic Press.
38. Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. International Journal of Fracture. 17:1981;389-407.
39. Tvergaard V. On localization in ductile materials containing voids. International Journal of Fracture. 18:1982;237-251.
40. Tvergaard V., Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metallurgica. 32:1984;157-169.
41. Tvergaard V. Material failure by void growth to coalescence. Hutchinson J.W., Wu T.Y. Advances in Applied Mechanics. vol. 27:1990;83-151 Academic Press, New York.
42. Wnuk M.P. Mathematical modeling of nonlinear phenomena in fracture mechanics. Enuk M.P. Nonlinear Fracture Mechanics. 1990;359-451 Springer-Verlag, Wien-New York.