A directional damage model

Computer Methods in Applied Mechanics and Engineering

Volumn 192, Issue 9-10, 2003, Pages 1119-1145

  Luccioni, Bibiana ^a   Oller, Sergio ^b  

^a UNIVERSIDAD NACIONAL DE TUCUMÁN   (Argentina)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Anisotropy; Damage; Space transformation; Thermodynamics

Indexed keywords

ANISOTROPY; DEGRADATION; HARDENING; LOADING; MAPPING; STIFFNESS; TENSORS; THERMODYNAMICS;

FINITE STRAINS;

METALS;

DAMAGE;

EID: 0037469546     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(02)00577-7     Document Type: Article

References (35)

1. M. Ashby, B. Tomkins, in: Smith, Miller (Eds.), Proceedings, ICM-3, Oxford Pergamon, 1980.
2. A.G. Atkins, Y.W. Mai, Elastic and Plastic Fracture, Metals, Polymers, Ceramics, Composite, Biological Materials, Ellis Horwood, 1988.
3. I. Carol, E. Rizzi, K. Willam, A unified description of elastic degradation and damage based on loading surface, Int. J. Solids Struct. 31 (1994) 2835-2865.
4. I. Carol, E. Rizzi, K. Willam, On the formulation of anisotropic degradation using a pseudo-logarithmic damage tensor, Structural Engineering and Structural Mechanics Research Series Report CU/SR-98/1, University of Colorado at Boulder, 1998.
5. I. Carol, E. Rizzi, K. Willam, On the formulation of anisotropic degradation II. Generalized pseudo Rankine model for tensile damage, Int. J. Solids Struct. 38 (2001) 519-543.
6. J.P. Cordebois, F. Sidoro., Damage-induced elastic anisotrophy, in: J.P. Boehler (Ed.), Mechanical Behavior of Anisotropic Solids, Colloque Euromech 115, Villard de Lans, Martinus Nijho., Dordrecht, The Netherlands, 1979, pp. 761-774.
7. J.L. Chaboche, Continuum damage mechanics, anisotropy and damage deactivation for brittle materials like concrete and ceramic composites, Int. J. Damage Mech. 4 (1995) 5-22.
8. A. Dragon, Z. Mroz, A continuum damage model for plastic-brittle behaviour of concrete, Int. J. Engrg. Sci. 17 (1979) 121-137.
9. S. Fichant, C. La Borderie, G. Pijaudier-Cabot, Isotropic and anisotropic descriptions of damage in concrete structures, Mech. Cohesive-Frictional Mater. 4 (1999) 339-359.
10. J.W. Ju, On energy-based coupled elastoplastic damage theories: constitutive modeling and computational aspects, Int. J. Solids Struct. 25 (7) (1989) 803-833.
11. J.W. Ju, Isotropic and anisotropic damage variables in continuum damage mechanics, ASCE J. Engrg. Mech. 16(12) (1990) 2764-2770.
12. L.M. Kachanov, Time of the rupture process under creep conditions, IVZ Akad. Nauk. SSR (Otd Tech Nauk) 8 (1958).
13. D. Krajcinovic, G.U. Fonseka, The continuous damage theory of brittle materials, Part I and II, J. Appl. Mech., ASME 48 (1981) 809-824.
14. D. Krajcinovic, Continuous damage mechanics revisited: basic concepts and definitions, J. Appl. Mech. 52 (1985) 829-834.
15. J. Lemaitre, J.L. Chaboche, Aspecta Phenoménologique de la Rupture par Endommagement, J. Mec. Théorique Apl. (1978) 317- 365.
16. J. Lemaitre, R. Desmorat, M. Sauzy, Anisotropic damage law of evolution, Eur. J. Mech. A/Solids 19 (2000) 187-208.
17. B. Luccioni, S. Oller, R. Danesi, Coupled plastic-damaged model, Comput. Meth. Appl. Mech. Engrg. 129 (1996) 81-89.
18. J. Lubliner, On the thermodynamic foundations of non-linear mechanics, Int. J. Non-Lin. Mech. 7 (1972) 237-254.
19. L. Malvern, Introduction to the Mechanics of Continuos Medium, Prentice Hall, USA, 1969.
20. G.A. Maugin, The Thermomechanics of Plasticity and Fracture, Cambridge University, 1992.
21. J. Mazars, G. Pijaudier-Cabot, Continuum damage theory - application to concrete, J. Engrg. Mech. ASCE 115 (1989) 345-365.
22. J. Moreau, Functionelles Convexes, Polycopié Collége de France, Paris, 1966.
23. S. Murakami, N. Ohno, A continuum theory of creep and creep damage, in: 3rd IUTAM Symposium on Creep in Structure, Leicester, 1980.
24. M. Ortiz, A constitutive theory for the inelastic behaviour of concrete, Mech. Mater. 4 (1985) 67-93.
25. F. Sidoro., Description of anisotropic application to elasticity, in: J. Hult, J. Lemaitre (Eds.), Physical Non-Linearities in Structural Analysis, IUTAM Series, Springer, New York, 1980, pp. 237-244.
26. C. Simo, J. Ju, Stress and strain based continuum damage models. Part I and II, Int. J. Solids Struct. 23 (1987) 375-400.
27. K.C. Valanis, A global damage theory and the hyperbolicity of the wave problem, J. Appl. Mech. ASME 58 (1991) 311-316.
28. J.G.M. Van Mier, N.B. Nooru-Mohamed, G. Timmers, An experimental study of shear fracture and aggregate interlock in cement based composites, Heron 36(4) (1991).
29. G.Z. Voyiadjis, P.I. Kattan, A plasticity-damage theory for large deformation of solids-I. Theoretical formulation, Int. J. Engrg. Sci. 30 (9) (1992) 1089-1108.
30. G.Z. Voyiadjis, T. Park, Anisotropic damage effect tensors for the symmetrization of the effective stress tensor, Trans. ASME 64 (1997) 106-110.
31. G.Z. Voyiadjis, T. Park, Kinematics of large elastoplastic damage deformation, in: G.Z. Voyiadjis, J.W.W. Ju, J.L. Chaboche (Eds.), Damage Mechanics in Engineering Materials, Elsevier Science, 1998, pp. 45-63.
32. G.Z. Voyiadjis, B. Deliktas, A coupled anisotropic damage model for the inelastic response of composite materials, Comput. Meth. Appl. Mech. Engrg. 183 (2000) 159-199.
33. K. Willam, E. Pramono, S. Sture, Fundamental issues of smeared crack models, in: S.P. Shah, S.E. Swartz (Eds.), SEM-RILEM Int. Conf. on Fracture of Concrete and Rock, Society of Engineering Mechanics, Bethel, CT, 1987, pp. 192-207.
34. Q. Yang, W.Y. Zhou, G. Sowoboda, Micromechanical identification of anisotropic evolution laws, Int. J. Fract. 98 (1999) 55-76.
35. O.C. Zienkiewicz, R. Taylor, El Método los Elementos Finitos, vol. 1, McGraw Hill, CIMNE, 1994.