Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Incremental Damage Mechanics of Particle or Short-Fiber Reinforced Composites Including Cracking Damage

  • Cho, Young-Tae (Institute of Engineering and Technology, Jeonju University)
  • Published : 2002.02.01
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Abstract

In particle or short-fiber reinforced composites, cracking of the reinforcements is a significant damage mode because the cracked reinforcements lose load carrying capacity. This paper deals with an incremental damage theory of particle or short-fiber reinforced composites. The composite undergoing damage process contains intact and broken reinforcements in a matrix. To describe the load carrying capacity of cracked reinforcement, the average stress of cracked ellipsoidal inhomogeneity in an infinite body as proposed in the previous paper is introduced. An incremental constitutive relation on particle or short-fiber reinforced composites including progressive cracking of the reinforcements is developed based on Eshelby's (1957) equivalent inclusion method and Mori and Tanaka\`s (1973) mean field concept. Influence of the cracking damage on the stress-strain response of composites is demonstrated.

Keywords

References

  1. Arsenault, R.J. and Taya, M., 1987, 'Thermal Residual Stress in Metal Matrix Composite,' Acta Metall., Vol. 35, No. 3, pp. 651-659 https://doi.org/10.1016/0001-6160(87)90188-X
  2. Berveiller, M. and Zaoui, A., 1979, 'An Extension of the Self-Consistent Scheme to Plastically-Flowing Polycrystals,' J.Mech.Phys.Solids, Vol. 26, pp. 325 https://doi.org/10.1016/0022-5096(78)90003-0
  3. Cho, Y.T., Tohgo, K. and Ishii, H., 1997a, 'Finite Element Analysis of a Cracked Ellipsoidal Inhomogeneity in an Infinite Body and Its Load Carrying Capacity,' JSME Int. J. Ser. A, Vol. 40, No. 3, pp. 234-241 https://doi.org/10.1299/jsmea.40.234
  4. Cho, Y.T., Tohgo, K. and Ishii, H., 1997b, 'Load Carrying Capacity fo a Broken Ellipsoidal Inhomogeneity,' Acta Mater., Vol. 45, pp. 4787-4795 https://doi.org/10.1016/S1359-6454(97)00126-2
  5. Cho, Y.T., 2001, 'Elastic Analysis of a Cracked Ellipsoidal Inhomogeneity in an Infinite Body,' KSME Int. J., Vol. 15, No. 6, pp. 709-719
  6. Eshelby, J.D., 1957, 'The Determination of the Elasitic Field of an Ellipsoidal Inclusion, and Related Problems,' Proc. Royal Society, Vol. A241, pp. 376-396
  7. Llorca, J., Maritn, A., Ruiz, J. and Elices, M., 1993, 'Particulate Fracture during Deformation of a Spray Formed Metal-Matrix Composite,' Metall.Trans. A., Vol. 24A, pp. 1575-1588 https://doi.org/10.1007/BF02646597
  8. Loretto, M.H. and Konitzer, D.G., 1990, 'The Effect of Matrix Reinforcement Reacton on Fracture in Ti-6A1-4V-Base Composites,' Metall. Trans. A., Vol. 21A, pp. 1579-1587
  9. Mori, T. and Tanaka, K., 1973, 'Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusion,' Acta Met., Vol. 21, pp. 571-574 https://doi.org/10.1016/0001-6160(73)90064-3
  10. Mura, T., 1982, Micromechanics of Defects in Solids, Martinus Nijhoff, The Hague
  11. Qui, Y.P. and Weng, G.J, 1992, 'A Theory of Plasticity for Porous Materials and Particle Reinforced Composites,' Trans. ASME. J. Appl. Aech., Vol. 59, pp. 261-268 https://doi.org/10.1115/1.2899515
  12. Tandon, G.P. and Weng, G.J., 1988, 'A Theory of Particle-Reinforced Plasticity,' ASME, J. Appl. Mech., Vol. 55, pp. 126-135 https://doi.org/10.1115/1.3173618
  13. Tohgo, K. and Chou,T.W., 'Incremental Theory of Particulate-Reinforced Composites Including Debonding Damage,' JSME Int. J. Ser. A, Vol. 39, No. 3, pp. 389-397 https://doi.org/10.1299/jsmea1993.39.3_389
  14. Tohgo, K. and Weng, G.L., 1996, 'A Progressive Damage Mechanics in Particle-Reinforced Metal-Matrix Composites under High Triaxial Tension,' ASME J. Eng. Mat. Tech., Vol. 116, pp. 414-420 https://doi.org/10.1115/1.2904307
  15. Tohgo,K.;Mochizuki,K.;Takahashi,H.;Ishii,H., 1996a, 'Application of Incremental Damage Theory to Glass Particle Reinforced Nylon 66 Composites,' Computer-Aided Assessment and Control, pp. 351-358
  16. Whitehouse, A.F. and Clyne, T.W., 1993, 'Cavity Formation during Tensile Straining of Particulate and Short Fiber Metal Matrix Composite,' Acta Metall. Mater., Vol. 41, No. 6, pp. 1701-1711 https://doi.org/10.1016/0956-7151(93)90189-Y