3D-Damage Model for Fiber-Reinforced Brittle Composites with Microcracks and Imperfect Interfaces
Publication: Journal of Engineering Mechanics
Volume 135, Issue 10
Abstract
A three-dimensional (3D) micromechanics-based evolutionary damage model is proposed to predict the effective elastic behavior of continuous fiber-reinforced brittle matrix composites with microcracks and imperfect interfaces. Eshelby’s tensor for a circular cylindrical inclusion with slightly weakened interface is adopted to model continuous fibers with imperfect interfaces. The nucleation of microcracks is simulated by employing the continuum damage model. A multilevel damage modeling process in accordance with Weibull’s probabilistic function is incorporated into the micromechanical framework to describe the sequential evolution of imperfect interfaces in the composites. Numerical examples corresponding to uniaxial loadings in the longitudinal and transverse directions are solved to illustrate the potential of the proposed damage model. Furthermore, the present prediction is compared with available experimental data in the literature to highlight the applicability of the proposed model.
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Acknowledgments
This research was sponsored by the IT R&D program of MKE/IITA (unspecified2008-F-044-01, Development of new IT convergence technology for smart building to improve the environment of electromagnetic waves, sound, and building) and the Smart Infra-Structure Technology Center (SISTeC) program of KOSEF [KOSEFR11-2002-101-02003 (2008)].
References
Ahn, B. K., Curtin, W. A., Parthasarathy, T. A., and Dutton, R. E. (1998). “Criteria for deflection/penetration criteria for fiber-reinforced ceramic matrix composites.” Compos. Sci. Technol., 58, 1775–1784.
Curtin, W. A., Ahn, B. K., and Takeda, N. (1998). “Modeling brittle and tough stress-strain behavior in unidirectional ceramic matrix composites.” Acta Mater., 46, 3409–3420.
Dai, L. H., Huang, Z. P., and Wang, R. (1999). “Explicit expressions for bounds for the effective moduli of multi-phased composites by the generalized self-consistent method.” Compos. Sci. Technol., 59, 1691–1699.
Dannemann, K. A., and Mandell, J. F. (1994). “Tensile damage development in fiber-reinforced ceramic matrix composites.” Mater. Sci. Eng., A, 177, 95–114.
Dormieux, L., Kondo, D., and Ulm, F.-J. (2006). “A micromechanical analysis of damage propagation in fluid-saturated cracked media.” C. R. Mec., 334, 440–446.
Dormieux, L., Sanahuja, J., and Maalej, Y. (2007). “Strength of a polycrystal with imperfect intergranular interfaces.” C. R. Mec., 335, 25–31.
Duan, H. L., and Karihaloo, B. L. (2007). “Effective thermal conductivities of heterogeneous media containing multiple imperfectly bonded inclusions.” Phys. Rev. B, 75(6), 064206.
Duan, H. L., Wang, J., Huang, Z. P., and Luo, Z. Y. (2005). “Stress concentration tensors of inhomogeneities with interface effects.” Mech. Mater., 37, 723–736.
Fritsch, A., Dormieux, L., Hellmich, C., and Sanahuja, J. (2007). “Micromechanics of crystal interfaces in polycrystalline solid phases of porous media: Fundamentals and application to strength of hydroxyapatite biomaterials.” J. Mater. Sci., 42, 8824–8837.
González, C., and LLorca, J. (2007). “Mechanical behavior of unidirectional fiber-reinforced polymers under transverse compression: Microscopic mechanisms and modeling.” Compos. Sci. Technol., 67, 2795–2806.
Hashin, Z. (1991). “The spherical inclusion with imperfect interface.” J. Appl. Mech. Tech. Phys., 58, 444–449.
Ju, J. W., and Chen, T. M. (1994). “Micromechanics and effective moduli of elastic composites containing randomly dispersed ellipsoidal inhomogeneities.” Acta Mech., 103, 103–121.
Ju, J. W., and Ko, Y. F. (2008). “Micromechanical elastoplastic damage modeling for progressive interfacial arc debonding for fiber reinforced composites.” Int. J. Damage Mech., 17, 307–356.
Ju, J. W., Ko, Y. F., and Ruan, H. N. (2006). “Effective elastoplastic damage mechanics for fiber-reinforced composites with evolutionary complete fiber debonding.” Int. J. Damage Mech., 15, 237–265.
Ju, J. W., and Lee, H. K. (2000). “A micromechanical damage model for effective elastoplastic behavior of ductile matrix composites considering evolutionary complete particle debonding.” Comput. Methods Appl. Mech. Eng., 183, 201–222.
Ju, J. W., and Sun, L. Z. (1999). “A novel formulation for the exterior-point Eshelbys tensor of an ellipsoidal inclusion.” J. Appl. Mech. Tech. Phys., 66, 570–574.
Jun, Z., and Haian, L. (1997). “The validity of the modified Mori-Tanaka method for composites with slightly weakened interface.” Acta Mech. Solida Sinica, 10, 108–117.
Karihaloo, B. L., and Fu, D. (1989). “A damage-based constitutive law for plain concrete in tension.” Eur. J. Mech. A/Solids, 8, 373–384.
Karihaloo, B. L., and Wang, J. (1994). “Cracked composite laminates least prone to delamination.” Proc. R. Soc. London, Ser. A, 444, 17–35.
Lamon, J. (2001). “A micromechanics-based approach to the mechanical behavior of brittle-matrix composites.” Compos. Sci. Technol., 61, 2259–2272.
Le, T. H., Dormieux, L., Jeannin, L., Burlion, N., and Barthélémy, J.-F. (2008). “Nonlinear behavior of matrix inclusion composites under high confining pressure: Application to concrete and mortar.” C. R. Mec., 336, 670–676.
Lee, H. K., and Ju, J. W. (2007). “A three-dimensional stress analysis of a penny-shaped crack interacting with a spherical inclusion.” Int. J. Damage Mech., 16, 331–359.
Lee, H. K., and Ju, J. W. (2008). “3-D Micromechanics and effective moduli for brittle composites with randomly located interacting microcracks and inclusions.” Int. J. Damage Mech., 17, 377–417.
Lee, H. K., and Kim, B. R. (2007). “Numerical characterization of compressive response and damage evolution in laminated plates containing a cutout.” Compos. Sci. Technol., 67, 2221–2230.
Lee, H. K., and Pyo, S. H. (2007). “Micromechanics-based elastic damage modeling of particulate composites with weakened interfaces.” Int. J. Solids Struct., 44, 8390–8406.
Lee, H. K., and Pyo, S. H. (2008a). “Multi-level modeling of effective elastic behavior and progressive weakened interface in particulate composites.” Compos. Sci. Technol., 68, 387–397.
Lee, H. K., and Pyo, S. H. (2008b). “An elastoplastic multi-level damage model for ductile matrix composites considering evolutionary weakened interface.” Int. J. Solids Struct., 45, 1614–1631.
Lee, H. K., Simunovic, S., and Shin, D. K. (2004). “A computational approach for prediction of the damage evolution and crushing behavior of chopped random fiber composites.” Compos. Sci. Technol., 29, 459–474.
Liang, Z., Lee, H. K., and Suaris, W. (2006). “Micromechanics-based constitutive modeling for unidirectional laminated composites.” Int. J. Solids Struct., 43, 5674–5689.
Luo, J. J., and Daniel, I. M. (2000). “A cylinder model for characterization of deformation and damage development in a unidirectional composite.” Compos. Sci. Technol., 60, 2791–2802.
Miller, J. H., Liaw, P. K., and Landes, J. D. (2001). “Influence of fiber coating thickness on fracture behavior of continuous woven Nicalon fabric-reinforced silicon-carbide matrix ceramic composites.” Mater. Sci. Eng., A, 317, 49–58.
Mura, T. (1987). Micromechanics of defects in solids, Martinus Nijhoff, Dordrecht, The Netherlands.
Paar, R., Vallés, J. L., and Danzer, R. (1998). “Influence of fibre properties on the mechanical behaviour of unidirectionally-reinforced ceramic matrix composites.” Mater. Sci. Eng., A, 250, 209–216.
Pensée, V., Kondo, D., and Dormieux, L. (2002). “Micromechanical analysis of anisotropic damage in brittle materials.” J. Eng. Mech., 128, 889–897.
Pichler, B., Hellmich, C., and Mang, H. A. (2007). “A combined fracture-micromechanics model for tensile strain-softening in brittle materials, based on propagation of interacting microcracks.” Int. J. Numer. Analyt. Meth. Geomech., 31, 111–132.
Qiu, Y. P., and Weng, G. J. (1991). “Elastic moduli of thickly coated particle and fiber-reinforced composites.” J. Appl. Mech. Tech. Phys., 58, 388–398.
Qu, J. (1993a). “Eshelby tensor for an elastic inclusion with slightly weakened interfaces.” J. Appl. Mech. Tech. Phys., 60, 1048–1050.
Qu, J. (1993b). “The effect of slightly weakened interfaces on the overall elastic properties of composite materials.” Mech. Mater., 14, 269–281.
Sharma, P., Ganti, S., and Bhate, N. (2003). “Effect of surface on the size-dependent elastic state of nano-inhomogeneities.” Appl. Phys. Lett., 82, 535–537.
Wang, W., and Jasiuk, I. (1998). “Effective elastic constants of particulate composites with inhomogeneous interphase.” J. Compos. Mater., 32, 1391–1424.
Weibull, W. (1951). “A statistical distribution function of wide applicability.” J. Appl. Mech., 18, 293–297.
Wu, Y. M., Huang, Z. P., Zhong, Y., and Wang, J. (2004). “Effective moduli of particle-filled composite with inhomogeneous interphase. Part I. Bounds.” Compos. Sci. Technol., 64, 1345–1351.
Yu, H. Y., Wei, Y. N., and Chiang, F. P. (2002). “Load transfer at imperfect interfaces-dislocation-like model.” Int. J. Eng. Sci., 40, 1647–1662.
Zhao, Y. H., and Weng, G. J. (1995). “A theory of inclusion debonding and its influence on the stress-strain relations of a ductile matrix.” Int. J. Damage Mech., 4, 196–211.
Zhong, Z., and Meguid, S. A. (1997). “On the elastic field of a spherical inhomogeneity with an imperfectly bonded interface.” J. Elast., 46, 91–113.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 10 • October 2009
Pages: 1108 - 1118
Copyright
© 2009 ASCE.
History
Received: Jun 27, 2008
Accepted: Feb 26, 2009
Published online: Mar 6, 2009
Published in print: Oct 2009
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