Fracture of random matrix-inclusion composites: scale effects and statistics

International Journal of Solids and Structures

Volumn 35, Issue 19, 1998, Pages 2537-2566

  Alzebdeh, K ^a   Al Ostaz, A ^b   Jasiuk, I ^c   Ostoja Starzewski, M ^d  

^a GENERAL MOTORS CORPORATION   (United States)

^b Michigan State University   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^d GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLENESS; COMPUTER SIMULATION; CRACK INITIATION; ELASTIC MODULI; FAILURE (MECHANICAL); FRACTURE MECHANICS; NUMERICAL ANALYSIS; STATISTICAL METHODS; STIFFNESS; STRAIN;

ELASTIC STIFFNESS; RANDOM MATRIX INCLUSION; SCALE EFFECTS; STRESS STRAIN CURVES;

FIBER REINFORCED MATERIALS;

COMPOSITES, FIBRE-REINFORCED; STRESS-STRAIN PROPERTIES;

EID: 0032124406     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00143-1     Document Type: Article

References (27)

1. Alzebdeh, K., Jasiuk, I. and Ostoja-Starzewski, M. (1998) Scale and boundary conditions effects in damage mechanics of random composites. In Symposium on Damage Mechanics, McNU'97 Joint ASME-ASCE-SES Summer Conference, Damage Mechanics, eds J. W. Ju, J.-L. Chaboche and G. Voyiadjis, Chicago (in press).
2. Baxevanakis, C., Lebon, B. and Renard, J. (1998) Fracture statistics modeling of laminate composites. International Journal of Solids and Structures 35, 2505-2521.
3. Bazant, Z. P., Bittnar, Z., Jirasek, M. and Mazars, J. (eds) (1994) Fracture and Damage in Quasi-Brittle Disordered Structures: Experiment, Modelling and Computer Analysis. E & FN Spon, London.
4. Beran, M. (1968) Statistical Continuum Theories. Interscience, New York.
5. Breysse, D. (ed.) (1994) Probabilities and Materials - Tests, Models and Applications. NATO ASI Series E-269, Kluwer, Dordrecht.
6. Carpinteri, A. (ed.) (1996) Size-Scale Effects in the Failure Mechanisms of Materials and Structures. E & FN Spon, London.
7. Charmet, J. C., Roux, S. and Guyon, E. (eds) (1990) Disorder and Fracture. NATO ASI Series B-235, Plenum Press, New York.
8. Grah, M., Alzebdeh, K., Sheng, P. Y., Vaudin, M. D., Bowman, K. J. and Ostoja-Starzewski, M. (1996) Brittle intergranular failure in 2D microstructures: experiments and computer simulations. Acta Materialia 44(10), 4003-4018.
9. Herrmann, H. J. and Roux, S. (eds) (1990) Statistical Models for the Fracture of Disordered Media. Elsevier, North-Holland.
10. Huet, C. (1993) Micromechanics of Concrete and Cementitious Composites. Presses Polytech. Univers, Romandes, Lausanne.
11. Jasiuk, I., Sheng, P. Y. and Ostoja-Starzewski, M. (1994) Influence of random fiber arrangement on crack propagation in brittle-matrix composites. 4th Conference Brittle-Matrix Composites, eds A. M. Brandt, V. C. Li and I. H. Marshall. Warsaw, Pcland. pp. 200-208.
12. Krajcinovic, D. (1996) Damage Mechanics. Elsevier, North-Holland.
13. Ostoja-Starzewski, M. (ed.) (1997) Statistical fracture mechanics. Engineering Fracture Mechanics 57(2/3), 58(5/6).
14. Ostoja-Starzewski, M. (1998) Random field models of heterogeneous materials. International Journal of Solids and Structures 35, 2429-2455.
15. Ostoja-Starzewski, M. and Lee, J. D. (1996) Damage maps of disordered composites: a spring network approach. International Journal of Fracture 75, R51-R57.
16. Ostoja-Starzewski, M., Sheng, P. Y. and Jasiuk, I. (1994a) Influence of random geometry on effective properties and damage formation in composite materials. ASME Journal of Engineering Materials and Technology 116, 384-391.
17. Ostoja-Starzewski, M., Sheng, P. Y. and Jasiuk, I. (1994b) Micromechanics as a basis of stochastic continuum damage mechanics, 1994 ASME Winter Ann. Mtg. In Material Instabilities: Theory and Applications, eds R. C. Batra and H. M. Zbib, AMD 183 and MD 50, 131-141.
18. Ostoja-Starzewski, M., Sheng, P. Y. and Alzebdeh, K. (1996) Spring network models in elasticity and fracture of composites and polycrystals. Computational Material Science 7(1, 2), 82-93.
19. Ostoja-Starzewski, M., Sheng, P. Y. and Jasiuk, I. (1997) Damage patterns and constitutive response of random matrix-inclusion composites. Engineering Fracture Mechanics 58, 581-606.
20. Pineau, A. and Zaoui, A. (eds) (1996) Micromechanics of Plasticity and Damage of Multiphase Materials. Kluwer, Dordrecht.
21. Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P. (1992) Numerical Recipies. Cambridge University Press, Cambridge.
22. Pyrz, R. (ed.) (1995) IUTAM Symposium on Microstructure-Property Interactions in Composite Materials. Kluwer, Dordrecht.
23. Shen, H. H., Satake, M., Mehrabadi, M., Chang, C. S., Campbell, C. S. (eds) (1992) Advances in micromechanics of granular materials. Stud. Applied Mechanics 31.
24. Sheng, P. Y. (1995) Analytical and computational approaches in mechanics of composite materials. Ph.D. thesis, Michigan State University.
25. Torquato, S. (1988) Computer simulation results for the two-point probability function of composite media. Journal of Composite Physics 76(1), 176-191.
26. van Mier, J. G. M. (1996) Fracture Processes of Concrete: Assessment of Material Parameters for Fracture Models. CRC Press, Boca Raton.
27. Weibull, W. (1939) A statistical theory of the strength of materials. Swedish Royal Institute of Engineering Research 151, 1-45.