Summary
Bounds on the effective elastic moduli for isotropic composites consisting of randomly oriented spheroidal inclusions with imperfect matrix-inclusion interface are proposed based on Hashin's extremum principle. Phenomenally, these bounds are the first-order ones for such composites, and contain the effect of the size and shape of inclusions, and the elastic properties of constituent phases and interfaces. In the limit cases, these bounds reduce to those known ones. The effect of inclusion shape and interface imperfection on the bounds is discussed with some numerical results for a WC/Co metal-matrix composite.
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References
Hashin, Z.: Analysis of composite—a survey. J. Appl. Mech.50, 481–505 (1983).
Torquato, S.: Random heterogeneous media: microstructures and improved bounds on effective properties. Appl. Mech. Rev.44, 37–76 (1991).
Nan, C.-W.: Physics of inhomogeneous inorganic materials. Prog. Mater. Sci.37, 1–116 (1993).
Nemat-Nasser, S., Hori, M.: Micromechanics: overall properties of heterogeneous materials. Amsterdam: Elsevier 1993.
Achenbach, J. D., Zhu, H.: Effect of interface on micro and macromechanical behavior of hexagonal-array fiber composites. J. Appl. Mech.57, 956–962 (1990).
Gosz, G., Moran, B., Achenbach, J. D.: Effect of a viscoelastic interface on the transverse behavior of fiber-reinforced composites. Int. J. Solids Struct.27, 1757–1765 (1991).
Nan, C.-W., Birringer, R., Clarke, D. R., Gleiter, H.: Effective thermal conductivity of particulate composites with interfacial thermal resistance. J. Appl. Phys.81, 6692–6699 (1997).
Hashin, Z.: The spherical inclusion with imperfect interface. J. Appl. Mech.58, 444–449 (1991).
Hashin, Z.: Thermoelastic properties of particulate composite with imperfect interface. J. Mech. Phys. Solids39, 745–762 (1991).
Hashin, Z.: Extremum principles for elastic heterogeneous media with imperfect interface and their application to bounding of effective moduli. J. Mech. Phys. Solids40, 767–781 (1992).
Eshelby, J. D.: The determination of the elastic field of an ellipsodial inclusion, and related problems. Proc. R. Soc. (London) A241, 376–396 (1957).
Lutz, M. P., Zimmerman, R.: Effect of the interphase zone on the bulk modulus of a particulate composite. J. Appl. Mech.63, 855–862 (1996).
Tong, J., Guan, L., Nan, C.-W.: Upper and lower bounds of effective moduli for elastic composite with imperfect interface at finite strains. Acta Mater. Comp. Sinica16, 140–146 (1999).
Tong, J., Guan, L., Zhang, Q.: Differential geometric method in elastic composite with imperfect interfaces. Appl. Math. Mech.19, 869–874 (1998).
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Tong, J., Nan, C.W., Fu, J. et al. Effect of inclusion shape on the effective elastic moduli for composites with imperfect interface. Acta Mechanica 146, 127–134 (2001). https://doi.org/10.1007/BF01246727
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DOI: https://doi.org/10.1007/BF01246727