Abstract
The statistical behavior of microvoids’ evolution in a linear viscoelastic material which contains well bonded second phase particles is investigated. The particle size distribution is assumed to obey a logarithmic normal distribution. Because of the difference in mechanical properties between the matrix and the second phase particles, the debonding damage of particle-matrix interface may occur under the action of external loads. This kind of damage will lead to microvoids’ nucleation and growth. In this paper, the reinforcing effect due to rigid particles and the weakening effect due to microvoids produced from the debonding on the overall mechanical property of the particle reinforced composite material are studied. By virtue of Eshelby’s equivalent inclusion method and Mori-Tanaka theory, the average normal stress on the particle-matrix interface which governs the void nucleation and the dilational rate of void volume which governs the void growth are calculated. Then, based on the kinetic conditions for the microvoids’ nucleation and growth as well as the balance law of voids’ number, the distribution functions of the number densities both for perfectly bonded particles and for microvoids are obtained. Thus, a macroscopic constitutive relation of the considered composite material is derived. It is shown that the macroscopic strain rate,
This project is supported by the National Natural Science Foundation of China (19632030) and the Doctoral Program Foundation of the State Education Commission of China
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References
Zhu X. G., Liu C. K., Qi Z. N., Wang G. H., Choy C. L. (1992) Toughening mechanism of HDPE/CaCO3 ultra-tough composite, Proc. of Int. Sym. on Polym. Alloys & Comp. (Hong Kong), 328–330
Fu Q., Shen J., and Wang G. (1992) Factors affecting the toughness of HDPE/CaCO3 blends, Polym. Mater. Sci. Eng. (in Chinese) Vol. 1, 107–112
Li H. L. (1996) Statistical behavior of microdamage’s evolution in ductile materials and its stochastic model, Ph.D. Thesis (in Chinese with English abstract), Peking University
Zhao Y. H., Weng G. J. (1996) Plasticity of a two-phase composite with partially debonded inclusions. Int. J. Plasticity, Vol. 12(6), 781–804
Tohgo K., Chou T. (1996) Incremental theory of particulate-reinforced composites including debonding damage, JSME Int. J. Series A, Vol.39, 389–397
Wu S. H. (1985) Phase structure and adhesion in polymer blends: A criterion for rubber toughening, Polymer, Vol. 26, 1855–1863
Argon A. S., Im J., Safoglu R. (1975) Cavity formation from inclusions in ductile fracture, Metal/.Tram., Vol.6 A, 825–838
Goods S. H., Brown L. M. (1979) The nucleation of cavities by plastic deformation, Acta Metall., Vol.27, 1–15
Fisher J. R., Gurland J., (1981) Void nucleation in spheroidized carbon steels, Metal Sci., Vol.15, 185–202
Needleman A. J., (1987) A continuum model for void nucleation by inclusion debonding, J. Appl. Mech., Vol. 54, 525–531
Curran D. R., Seaman L., Shockey D. A.,(1987) Dynamic failure of solids, Phys. Rep., Vol.147, 253–388
Toshio Mura, (1987) Micromechanics of Defects in Solids, Martinus Nijhoff Publishers, Dordrecht
Liu Z. H., Zhu X. G., et al., (1996) Brittle-ductile transition in polymer blends, Acta Polymerica Sinica (in Chinese), No. 4, 468–473
Fu Q., Zhang Y. L., and Wang G. H. (1994) The effect of matrix toughness on the brittle-ductile transition of HDPE/CaCo3 blends, Chinese J. of Polymer Science, Vol. 12, No. 4, 309–315
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© 1999 Kluwer Academic Publishers
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Huang, ZP., Chen, JK., Li, HL., Liu, Y. (1999). A Constitutive Model of a Particle Reinforced Viscoelastic Composite Material with Debonded Microvoids. In: Wang, R. (eds) IUTAM Symposium on Rheology of Bodies with Defects. Solid Mechanics and its Applications, vol 64. Springer, Dordrecht. https://doi.org/10.1007/0-306-46937-5_11
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DOI: https://doi.org/10.1007/0-306-46937-5_11
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