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Probability of Debonding and Effective Elastic Properties of Particle-Reinforced Composites

Published online by Cambridge University Press:  24 January 2017

L. C. Bian ,
W. Liu  and
J. Pan
L. C. Bian*
Affiliation:
Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei ProvinceYanshan UniversityQinhuangdao, China
W. Liu
Affiliation:
Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei ProvinceYanshan UniversityQinhuangdao, China
J. Pan
Affiliation:
Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei ProvinceYanshan UniversityQinhuangdao, China
*
*Corresponding author ([email protected])
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Abstract

In this paper, the effective properties of particle-reinforced composites with a weakened interphase are investigated. The particle and interphase are regarded as an equivalent-inclusion, and the interphase zone around the particle is modeled as a linear elastic spring layer. A modified micro-mechanics model is proposed to obtain the effective elastic modulus. Moreover, a statistical debonding criterion is proposed to characterize the varying probability of the evolution of interphase debonding. Numerical examples are considered to illustrate the effect of imperfect interphases on the effective properties of particle-reinforced composites. It is found that the effective elastic properties obtained in the present work are in a good agreement with the existing data from the literatures.

Keywords

Particle compositesEquivalent inclusionElastic modulusInterphase
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 6 , December 2017 , pp. 789 - 796
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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References

1. Bian, L. C., Wang, Q., Meng, D. L. and Li, H. J., “A modified micromechanics model for estimating effective elastic modulus of concrete,” Construction and Building Materials, 36, pp. 572–577 (2012).CrossRefGoogle Scholar
2. Togho, K., Itoh, Y. and Shimamura, Y. A., “A constitutive model of particulate-reinforced composites taking account of particle size effects and damage evolution,” Composites Part A: Applied Science and Manufacturing, 41, pp. 313–321 (2010).Google Scholar
3. Dong, H., Wang, H. and Rubin, M. B., “Computational homogenization of the debonding of particle reinforced composites: The role of interphases in interfaces,” International Journal of Solids and Structures, 51, pp. 462–477 (2014).CrossRefGoogle Scholar
4. Marur, P. R., “Analysis of an imperfectly bonded hollow inclusion in an infinite medium,” Journal of Nanomechanics & Micromechanics, 4, pp. A40130-1-10 (2014).CrossRefGoogle Scholar
5. Kerner, E. H., “The elastic and thermoelastic properties of composite media,” Proceedings of the Physical Society (B), 69, pp. 808–813 (1956).CrossRefGoogle Scholar
6. Hori, M. and Nemat-Nasser, S., “Double-inclusion model and overall moduli of multi-phase composites,” Mechanics of Materials, 14, pp. 189–206 (1993).CrossRefGoogle Scholar
7. Spring, D. W. and Pauling, G. G., “Computational homogenization of the debonding of particle reinforced composites: The role of interphases in interfaces,” Computational Materials Science, 109, pp. 209–224 (2015).CrossRefGoogle Scholar
8. Wang, H. W., Zhou, H. W., Peng, R. D. and Mishnaevsky, L. Jr. “Nanoreinforced polymer composites: 3D FEM modeling with effective interphase concept,” Composites Science and Technology, 71, pp. 980–988 (2011).CrossRefGoogle Scholar
9. Duan, H. L., Yi, X., Huang, Z. P. and Wang, J., “A unified scheme for prediction of effective moduli of multiphase composites with interphase effects: Part I - theoretical framework,” Mechanics of Materials, 39, pp. 81–93 (2007).CrossRefGoogle Scholar
10. Fu, S. Y., Feng, X. Q., Lauke, B. and Mai, Y. W., “Effects of particle size, particle/matrix interface adhesion and particle loading on mechanical properties of particulate–polymer composites,” Composites Part B: Engineering, 39, pp. 933–961 (2008).CrossRefGoogle Scholar
11. Hashin, Z., “The spherical inclusion with imperfect interphase,” Journal of Applied Mechanics, 58, pp. 444–449 (1991).CrossRefGoogle Scholar
12. Gu, S. T., Liu, J. T. and He, Q. C., “Size-dependent effective elastic moduli of particulate composites with interfacial displacement and traction discontinuities,” International Journal of Solids and Structures, 51, pp. 2283–2296 (2014).CrossRefGoogle Scholar
13. Nazarenko, L., Bargmann, S. and Stolarski, H., “Lurie solution for spherical particle and spring layer model of interphases: Its application in analysis of effective properties of composites,” Mechanics of Materials, 96, pp. 39–52 (2016).CrossRefGoogle Scholar
14. Nazarenko, L. and Stolarski, H., “Energy-based definition of equivalent inhomogeneity for various interphase models and analysis of effective properties of particulate composites,” Composites Part B: Engineering, 94, pp. 82–94 (2016).CrossRefGoogle Scholar
15. Jiang, Y. P., Yang, H. and Tohgo, K., “Three-phase incremental damage theory of particulate-reinforced composites with a brittle interphase,” Composite Structures, 93, pp. 1136–1142 (2011).CrossRefGoogle Scholar
16. Zhao, Y. H. and Weng, G. J., “Plasticity of a two-phase composite with partially debonded inclusions,” International Journal of Plasticity, 12, pp. 781–804 (1996).CrossRefGoogle Scholar
17. Hashin, Z., “Thin interphase/imperfect interphase in elasticity with application to coated fiber composites,” Journal of the Mechanics and Physics of Solids, 50, pp. 2509–2537 (2002).CrossRefGoogle Scholar
18. Benveniste, Y. and Miloh, T., “Imperfect soft and stiffinterphases in two-dimensional elasticity,” Mechanics of Materials, 33, pp. 309–323 (2001).CrossRefGoogle Scholar
19. Eshelby, J. D., “The determination of the elastic field of an ellipsoidal inclusion and related problems,” Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 241, pp. 376–396 (1957).Google Scholar
20. Walpole, L. J., “On bounds for the overall elastic moduli of inhomogeneous systems—I,” Journal of the Mechanics & Physics of Solids, 14, pp. 151–162 (1966).CrossRefGoogle Scholar
21. Walpole, L. J., “On bounds for the overall elastic moduli of inhomogeneous systems—II,” Journal of the Mechanics & Physics of Solids, 14, pp. 289–301 (1966).CrossRefGoogle Scholar
22. Boutaleb, S. et al., “Micromechanics-based modelling of stiffness and yield stress for silica/polymer nanocomposites,” International Journal of Solids and Structures, 46, pp. 1716–1726 (2009).CrossRefGoogle Scholar