Abstract
A new model for the damage factor in terms of strain energy densities is derived and proposed. The damage factor values can be predicted directly from the stress–strain data using the aforementioned model. Moreover, an expression of crack density ratios in terms of total strain energy densities is inferred. Their validity has been shown by comparing their results with the limited experimental data. The proposed model compares well with the model and the experimental data of Voyiadjis performed on metal-matrix laminates. A new technique, used to predict reasonably the values of crack density ratios at any fiber orientation angle using measured data in the principal material directions, is also developed. Due to difficulties encountered in the evaluation of amount of damage in composite materials up to failure, especially, when using experimental techniques, it was shown that the proposed method for finding the damage factor and crack-density ratios is sufficient and gives reasonable predictions.
Similar content being viewed by others
References
Abu-Farsakh, G., 'New Material Models for Nonlinear Stress-Strain Behavior of Composite Materials', Composites 20, 1989, 349-360.
Abu-Farsakh, G. and Abdel-Jawad, Y., 'A New Failure Criterion for Nonlinear Composite Materials', J. Comp. Tech. and Res. 16(2), 1994, 138-145.
Cole, B. and Pipes, R., 'Filamentary Composite Laminates Subjected to Biaxial Stress Fields', IIT Research Inst. Tech. Report., 1973, 73-115.
Jones, R. M., Mechanics of Composite Materials, McGrow-Hill Kogakusha, Ltd, Tokyo, 1975.
Kattan, P. I. and Voyiadjis, G. Z., 'Micromechanical Modeling of Damage in Uniaxially Loaded Unidirectional Fiber-Reinforced Composite Lamina', Int. J. Solids Structures 30, 1993, 19-36.
Kattan, P. I. and Voyiadjis, G. Z., 'Damage Plasticity in Uniaxially Loaded Composite Lamina: Overall Analysis', Internat. J. Solids Structures 33(4), 1995, 555-576.
Lemaitre, J., 'A Continuous Damage Mechanics Model For Ductile Fracture', J. Engng. Mater. Technol. 107, 1985, 83-89.
Lemaitre, J. and Dufailly, J., 'Damage Measurement', Eng. Frac. Mech. 28(5/6), 1987, 643-661.
Stener, K. V., Eduljec, R. F., Huang, X. and Gillespie, J. W., Jr., 'Ultrasonic NDE Techniques for the Evaluation of Matrix Cracking in Composite Laminates', Comp. Sci. and Tech. 53, 1993, 193-198.
Voyiadjis, G. Z., 'Local and Interfacial Damage Analysis of Metal Matrix Composites', Internat. J. Engng. Sci. 33, 1995, 1595-1621.
Voyiadjis, G. Z. and Kattan, P. I.. 'Damage of Fiber-Reinforced Composite Materials with Micromechanical Characterization', Internat. J. Solids Structures 30(20), 1993, 2757-2778.
Voyiadjis, G. Z. and Kattan, A. R., 'Micromechanical Modeling of Damage and Plasticity in Continuously Reinforced MMCs', Stud. Appl. Mech. 41, 1994, 307-345.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Abu-Farsakh, G.A., Barakat, S.A. & Abed, F.H. A Macromechanical Damage Model of Fibrous Laminated Composites. Applied Composite Materials 6, 99–119 (1999). https://doi.org/10.1023/A:1008882909136
Issue Date:
DOI: https://doi.org/10.1023/A:1008882909136