Damage mechanics: Accomplishments, trends and needs

International Journal of Solids and Structures

Volumn 37, Issue 1-2, 2000, Pages 267-277

  Krajcinovic, Dusan ^a  

^a Arizona State University   (United States)

Author keywords

Brittle deformation; Continuum models; Damage mechanics; Failure; Micromechanics

Indexed keywords

BRITTLENESS; FAILURE (MECHANICAL); MATHEMATICAL MODELS; MICROCRACKS; MICROSTRUCTURE; SOLIDS;

DAMAGE MECHANICS; HOMOGENEOUS SOLIDS; MICRO DEFECTS;

CONTINUUM MECHANICS;

EID: 0345856526     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00081-5     Document Type: Article

References (61)

1. Achenbach, J.D., 1992. Measurement models for quantitative ultrasonics. J. of Sound and Vibration 159, 385-401.
2. Allen, D.H., 1994. Damage Evolution in Laminates. In: Talreja, R. (Ed.), Damage Mechanics of Composite Materials, ch. 3. Elsevier Science Publ, Amsterdam.
3. Ashby, M.F., Sammis, C.G., 1990. The damage mechanics of brittle solids in compression. PAGEOPH 133, 489-521.
4. Audoin, B., Baste, S., 1994. Ultrasonic evaluation of stiffness tensor changes and associated anisotropic damage in a ceramic matrix composite. J. Appl. Mech. 61, 309-316.
5. Augusti, G., Mariano, P.M., 1996. Introduction to computational models of damage dynamics under stochastic actions. Prob. Engng Mech. 11, 107-112.
6. Basista, M., Gross, D., 1998. The sliding crack model of brittle deformation: An internal variable approach. Int. J. Solids Mech. 35, 487-501.
7. Bazant, Z.P., Cedolin, L., 1991. Stability of Structures, Elastic, Inelastic, Fracture and Damage Theories. Oxford Univ. Press, New York, NY.
8. Bazant, Z.P., Pijaudier-Cabot, G., 1988. Nonlocal continuum damage, localization instability and convergence. J. Appl. Mech. 55, 287-293.
9. Bazant, Z.P., Xiang, Y., Part, P.C., 1996. Microplane model for concrete I. J. of Engineering Mechanics 122, 245-254.
10. Budiansky, B., O'Connell, R.J., 1976. Elastic Moduli of a Cracked Solid. Int. J. Solids Structures 12, 81-97.
11. Belytschko, T., Bazant, Z.P., Hyun, Y.-W., Chang, T.P., 1986. Strain-softening materials and finite-element solutions. Computers & Structures 23, 163-180.
12. Bolotin, V.V., 1989. Prediction of Service Life for Machines and Structures. ASME Press, New York.
13. Chaboche, J.-L., 1988. Continuum Damage Mechanics, Parts I-II. J. Appl. Mech. 55, 59-64 and 65-72.
14. Chaboche, J.-L., 1993. Development of continuum damage mechanics for elastic solids sustaining anisotropic and unilateral damage. Int. J. Damage Mech. 2, 311-329.
15. De Giorgi, E., 1993. New Problems in Minimizing Movements. In: Baiocchi, C., Lions, J.L. (Eds.), Boundary Value Problems in PDE and Application. Masson, Paris, pp. 81-93.
16. Dvorak, G.J., Lagoudas, D.C., Huang, C.-M., 1994. Fatigue damage and shakedown in metal matrix composite laminates. Mech. Comp. Mater, and Structures 1, 171-202.
17. Fish, J., Suvorov, A., Belsky, V., 1996. Composite grid and adaptive multigrid methods for global-local analysis of laminated composite shells. Appl. Num. Math. 20, 1-18.
18. Fu, Y., Klimkowski, K.J., Rodin, G.J., Berger, E., Browne, J.C., Singer, J.K., van de Geijn, R.A., Vemaganti, K.S., 1998. A fast solution method for three-dimensional many-particle problems of linear elasticity. Int. J. Num. Meth. Engng. 42, 1215-1229.
19. Germain, P., Ngyen, Q.S., Suquet, P., 1983. Continuum thermodynamic. J. Appl. Mech. 50, 1010-1020.
20. Hansen, A., Hinrichsen, E.L., Roux, S., 1991. Scale-invariant disorder in fracture and related breakdown phenomena. Phys. Rev. B 43, 665-678.
21. Herakovich, C.T., 1998. Mechanics of fibrous composites. J. Wiley & Sons, New York.
22. Holcomb, D.J., Costin, L.S., 1986. Detecting damage surfaces in brittle materials using acoustic emissions. J. Appl. Mech. 53, 536-544.
23. Horii, H., Nemat-Nasser, S., 1985. Compression induced microcrack growth in brittle solids. J. Geophys. Res. 90, 3105-3125.
24. Jasiuk, I., Chen, J., Thorpe, M.F., 1994. Elastic moduli of two-dimensional materials with polygonal and elliptical holes. Appl. Mech. Rev. 47, S18-S28.
25. Ju, J.-W., 1989. On energy-based coupled elastoplastic theories: constitutive modeling and computational aspects. Int. J. Solids Structures 25, 803-833.
26. Ju, J.-W., Tseng, K.H., 1995. An improved two-dimensional micromechanical theory for brittle solids with randomly located interacting microcracks. Int. J. Damage Mech. 3, 23-57.
27. Kachanov, L.M., 1958. On the time to failure under creep conditions. Izv. AN SSSR, Otd. Tekhn. Nauk 8, 26-31.
28. Kachanov, M., 1993. Elastic solids with many cracks and related problems. In: Hutchinson, J., Wu, T. (Eds.), Advances in Applied Mechanics, vol. 29. Academic Press, New York, NY, pp. 259-445.
29. Kachanov, M., Tsukrov, I., Shafiro, B., 1994. Effective moduli of solids with cavities of various shapes. In: Ostoja-Starzewski, M., Jasiuk, I. (Eds.), Micromechanics of Random Media, ASME book AMR 139, pp. S151-S174.
30. Kanatani, K., 1984. Distribution of directional dat and fabric tensors. Int. J. Engng. Sci. 22, 149-164.
31. Krajcinovic, D., 1996. Damage Mechanics. North-Holland, Elsevier, Amsterdam, The Netherlands.
32. Krajcinovic, D., 1997. Effective material properties in the limit of large defect concentration. Eng. Fracture Mech. 57, 227-240.
33. Krajcinovic, D., Mallick, K., 1995. Micromechanics of process induced damage in thermosets. J. Mech. Phys. Solids 43, 1059-1086.
34. Krajcinovic, D., Mastilovic, S., 1995. Some fundamental issues of damage mechanics. Mech. Mater. 21, 217-230.
35. Krajcinovic, D., Vujosevic, M., 1998. Strain localization - short to long correlation length transition. Int. J. Solids Structures 35, 4147-4166.
36. Ladeveze, P., 1995. A damage computational approach for composites: basic aspects and micromechanical relations. Computational Mech. 17, 142-150.
37. Lemaitre, J., 1992. A Course on Damage Mechanics. Springer-Verlag, Berlin.
38. Lemaitre, J., Plumtree, A., 1979. Application of damage concepts to predict creep-fatigue failures. J. Eng. Materials and Technology 101, 284-292.
39. Lockner, D.A., Byerlee, J.D., Kuksenko, V., Ponomarev, A., Sidorin, A., 1991. Quasi-static fault growth and shear fracture energy in granite. Nature 350 (March), 19623-19642.
40. Lubarda, V.A., Krajcinovic, D., 1995. Some fundamental issues in rate theory of damage-elasto-plasticity. Int. J. Plasticity 11, 763-797.
41. Lubarda, V.A., Krajcinovic, D., Mastilovic, S., 1994. Damage model for brittle elastic solids with unequal tensile and compressive strengths. Eng. Fracture Mech. 49, 681-697.
42. Mariano, P.M., Augusti, G., 1997. Some axioms and theorems in damage mechanics and fatigue of materials. Int. J. Solids Structures 34, 3337-3350.
43. Mastilovic, S., Krajcinovic, D., 1999. High-velocity expansion of a cavity within a brittle material. J. Mech. Phys. Solids 47, 577-610.
44. Mobasher, B., Stang, H., Shah, S.P., 1990. Microcracking in fiber reinforced concrete. Cement and Concrete Research 20, 665-676.
45. Nemati, K.M., Monterio, P.J.M., Scrivener, K.L., 1998. Analysis of compressive stress-induced cracks in concrete. ACI Mat. J. 95, 617-630.
46. Nemat-Nasser, S., Hori, M., 1993. Micromechanics: Overall Properties of Heterogeneous Materials. North-Holland, Amsterdam, The Netherlands.
47. Nemat-Nasser, S., Obata, M., 1988. A microcrack model of dilatancy in brittle materials. J. Appl. Mech. 55, 24-29.
48. Ortiz, M., 1985. A constitutive theory for the inelastic behavior of concrete. Mech. Mater. 4, 67-93.
49. Ortiz, M., 1996. Computational micromechanics. Comp. Mech. 18, 321-338.
50. Ostoja-Starzewski, M., 1993. Micromechanics as basis of random elastic continuum approximations. Probabilistic Engng Mechanics 8, 107-114.
51. Reches, Z., Lockner, D.A., 1994. Nucleation and growth of faults in brittle rock. J. Geophys. Res. 99 (B9), 18159-18173.
52. Rice, J.R., 1975. Continuum mechanics and thermodynamics of plasticity in relation to microscale deformation mechanisms. In: Argon, A.S. (Ed.), Constitutive Equations in Plasticity. MIT Press, Cambridge, MA, pp. 23-79.
53. Rice, J.R., 1976. The localization of plastic deformation. In: Koiter, W.T. (Ed.), Theoretical and Applied Mechanics. North-Holland Publ. Co, Amsterdam, pp. 207-220.
54. Sumarac, D., Krajcinovic, D., 1987. A self-consistent model for a microcrack weakened solid. Mech. Mater. 6, 39-52.
55. Talreja, R., 1987. Fatigue of Composite Materials. Technomics Publ. Co, Lancaster, PA.
56. van Mier, J.G.M., 1997. Fracture Processes in Concrete. CRC Press, New York.
57. Voyiadjis, G.Z., Park, T., 1996. Anisotropic damage effect tensors for the symmetrization of the effective stress tensor. J. Appl. Mech. 25, 605-614.
58. Yazdani, S., Schreyer, H.L., 1990. Combined plasticity and damage mechanics model for plain concrete. J. Engng Materials 116, 1435-1450.
59. Yeong, C.L.Y., Torquato, S., 1998. Reconstructing random media II. Phys. Rev. E 58, 224-233.
60. Zheng, Q.-S., Collins, I.F., 1997. The relationship between damage variables and their evolution laws and microstructure and physical properties. Proc. Royal Soc. London A 454, 1469-1498.
61. Zheng, Q.-S., Huang, K.C., 1996. Reduced dependence of defect compliance on matrix and inclusion elastic properties in two-dimensional elasticity. Proc. R. Soc. Lond. A 452, 2493-2507.