Introduction to Damage Mechanics

  • D. Krajcinovic
Part of the International Centre for Mechanical Sciences book series (CISM, volume 410)


The concise assessment of the principles, structure, accomplishments, trends and needs of the damage mechanics is intended to the readers who are not very familiar with this relatively new field of solid mechanics. This Chapter also serves to define some of the major concepts of this field and introduce the other five Chapters of this book.


Damage Mechanic Damage Evolution Damage Parameter Order Tensor Engineer Fracture Mechanics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Asaro, R.J. (1983). Crystal plasticity. Journal of Applied Mechanics 50: 921–934.CrossRefMATHADSGoogle Scholar
  2. Ashby, M.F. and Sammis, C.G. (1990). The damage mechanics of brittle solids in compression. Pure and Applied Geophysics 133: 489–521.CrossRefADSGoogle Scholar
  3. Basista, M. and Gross, D., (1998). The sliding crack model of brittle deformation: an internal variable approach. International Journal of Solids and Structures 35: 487–501.CrossRefMATHGoogle Scholar
  4. Bazant, Z.P. and Cedolin, L. (1991). Stability of structures, elastic, inelastic, fracture and damage theories. New York, NY: Oxford University Press.MATHGoogle Scholar
  5. Bolotin, V.V. (1989). Prediction of service life for machines and structures. New York, NY: ASME Press.Google Scholar
  6. Budiansky, B. and O’Connell, R.J. (1976). Elastic moduli of a cracked solid. International Journal of Solids and Structures 4: 81–97.CrossRefGoogle Scholar
  7. Chaboche, J.-L. and Lesne, P.M. (1988). A non-linear continuous fatigue model. Ftigue and Fracture in Engineering Materials and Structures 11: 1–17.CrossRefGoogle Scholar
  8. Dvorak, G.J. and Laws, N. (1985). Analysis of progresive matrix cracking in composite laminate, II. First ply failure. Journal of Composite Materials 21: 309–329.CrossRefADSGoogle Scholar
  9. Fish, J., Suvorov, A. and Belsky, V. (1996). Composite grid and adaptive multigrid methods for global-local analysis of laminated composite shells. Applied Numerical Mathematics 20: 1–18.CrossRefGoogle Scholar
  10. Fu, Y., Klimkowski, K.J., Rodin, G.J., Berger, E., Browne, J.C., Singer, J.K., van de Geijn, R.A. and Vemaganti, K.S. (1998). A fast solution method for three-dimensional many-particle problems of linear elasticity. International Journal of Numerical Methods in Engineering 42: 1215–1229.CrossRefMATHADSGoogle Scholar
  11. Greenspan, D. (1997). Particle dynamics. Boston MA: Birkhauser.Google Scholar
  12. Jasiuk, I., Chen, J. and Thorpe, M.F. (1994). Elastic moduli of two-dimensional materials with polygonal and elliptical holes. Applied Mechanics Review 47: S18 - S28.CrossRefADSGoogle Scholar
  13. Ju, J.-W. and Tseng, K.H. (1995). An improved two-dimensional micromechanical theory for brittle solids with randomly located interacting microcracks. International Journal of Damage Mechanics 3: 23–57.CrossRefGoogle Scholar
  14. Kachanov, L.M. (1958). On the time to failure under creep conditions, Izvestia Akademia Nauka SSSR, Otdelenie Tekhnicheskih Nauk 8: 26–31.Google Scholar
  15. Kachanov, M. (1993). Elastic solids with many cracks and related problems. In J. Hutchinson and T. Wu, eds., Advances in Applied Mechanics: 29. Academic Press, New York, NY. 259–445.Google Scholar
  16. Kanatani, K. (1984). Distribution of directional data and fabric tensors. International Journal of Engineering Sciences. 22: 149–164.MathSciNetCrossRefMATHGoogle Scholar
  17. Kendall, K. (1978). On imposibility of comminuting small particles by compression. Nature 272: 710–711.CrossRefADSGoogle Scholar
  18. Krajcinovic, D. (1996). Damage mechanics. Amsterdam: North-Holland, Elsevier.Google Scholar
  19. Krajcinovic, D. (1997). Effective material properties in the limit of large defect concentration. Engineering Fracture Mechanics 57: 227–240.CrossRefGoogle Scholar
  20. Krajcinovic, D. and Mastilovic, S. (1995). Some fundamental issues of damage mechanics, Mechanics of Materials 21: 217–230.CrossRefGoogle Scholar
  21. Krajcinovic, D. and Mastilovic, S. (1999). Statistical models of brittle deformation, part 1. International Journal of Plasticity 15: 401–426.CrossRefMATHGoogle Scholar
  22. Lemaitre, J. (1992). A Course on Damage Mechanics. Berlin: Springer.CrossRefMATHGoogle Scholar
  23. Li, M. and Johnson, W.L. (1992). Fluctuations and thermodynamic response functions in a Lenard-Jones solid. Physical Review B 46: 5237–5241.CrossRefADSGoogle Scholar
  24. Lobb, C.J. and Forrester, M.G. (1987). Measurement of nonuniversal critical behavior in a two-dimensional continuum percolation system. Physical Review 8: 1899–1901.Google Scholar
  25. Lubarda, V.A. and Krajcinovic, D. (1995). Some fundamental issues in rate theory of damageelasto-plasticity. International Journal of Plasticity 11: 763–797.CrossRefMATHGoogle Scholar
  26. Lubarda, V.A., Krajcinovic, D. and Mastilovic, S. (1994). Damage model for brittle elastic solids with unequal tensile and compressive strengths. Engineering Fracture Mechanics 49: 681–697.CrossRefGoogle Scholar
  27. Monette, L. and Anderson, M.P. (1994). Elastic and fracture properties of the two-dimensional triangular and square lattices. Modelling and Simulation in Materials Science and Engineering 2: 53–66.CrossRefADSGoogle Scholar
  28. Nemat-Nasser, S. and Hori, M. (1998). Micromechanics: Overall Properties of Heterogeneous Materials. Amsterdam: North-Holland.Google Scholar
  29. Ortiz, M. (1985). A constitutive theory for the inelastic behavior of concrete. Mechanics of Materials 4: 67–93.CrossRefGoogle Scholar
  30. Ortiz, M. (1996). Computational micromechanics. Computational Mechanics 18: 321–338.MathSciNetCrossRefMATHADSGoogle Scholar
  31. Ostoja-Starzewski, M. (1993). Micromechanics as basis of random elastic continuum approximations. Probabilistic Engineering Mechanics 8: 107–114.CrossRefGoogle Scholar
  32. Parinello, M. and Rahman, A. (1981). Polymorphic transitions in single crystals: a new molecular dynamic model. Journal of Applied Physics 52: 7182–7190.CrossRefADSGoogle Scholar
  33. 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. Cambridge, MA: MIT Press. 23–79.Google Scholar
  34. Rudnicki, J.W. and Rice, J.R. (1975). Conditions for the localization of deformation in pressure-sensitive materials. Journal of the Mechanics and Physics of Solids 23: 371–394.CrossRefADSGoogle Scholar
  35. Taylor, G.I. (1938). Plastic strain in metals. Journal of Institute of Metals 61: 307–324.Google Scholar
  36. Vitek, V. (1996). Pair potential in atomistic computer simulations. MRS Bulletin 21: 20–23.Google Scholar
  37. Voyiadjis, G.Z. and Kattan, P.I. (1992). A plasticity-damage theory for large deformation of solids. International Journal of Engineering Science 30: 1089–1108.CrossRefMATHADSGoogle Scholar
  38. Weiner, J.H. (1983). Statistical Mechanics of Elasticity. New York, NY: A Wiley-Interscience Publ., J. Wiley & Sons.Google Scholar
  39. Yazdani, S. and Schreyer, H.L. (1990). Combined plasticity and damage mechanics model for plain concrete. ASCE Journal of Engineering Materials 116: 1435–1450.Google Scholar
  40. Zallen, R. (1983). The Physics of Amorphous Solids. New York, NY: J. Wiley & Sons.CrossRefGoogle Scholar
  41. Zheng, Q.-S. and Collins, I.F. (1997). The relationship between damage variables and their evolution laws and microstructure and physical properties. Proceedings of the Royal Society London A 454: 1469–1498.MathSciNetCrossRefADSGoogle Scholar
  42. Zheng, Q.-S. and Huang, K.C. (1996). Reduced dependence of defect compliance on matrix and inclusion elastic properties in two-dimensional elasticity. Proceedings of the Royal Society London A 452: 2493–2507.MathSciNetCrossRefMATHADSGoogle Scholar

Copyright information

© Springer-Verlag Wien 2000

Authors and Affiliations

  • D. Krajcinovic
    • 1
  1. 1.Arizona State UniversityTempeUSA

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