A new model for the influence of particle arrangement and interphase on the stiffness of particulate composites

References

• Nielsen, L. E., Mechanical Properties of Polymers and Composites, (Marcel Dekker Inc., New York, 1974), Vol. 2.
   Google Scholar
• Kerner, E. H., Proc. Phys. Soc. 69B, 808–813 (1956).
   Google Scholar
• Hashin, Z., and Shtrikman, J., J. Mech. Phys. Solids 11, 127–140 (1963).
   Google Scholar
• Hojo, Z., Toyoshima, W., and Tamura, M., Polym. Eng. Sci. 14, 605–617 (1974).
   Google Scholar
• Alter, H., J. Appl. Polym. Sci. 9, 1525–1531 (1966).
   Google Scholar
• Baldin, W. M., Acta Mech. 6, 141 (1958).
   Google Scholar
• Bhattacharya, S. K., Basu, S., and De, S. K., J. Mater. Sci. 13(10), 2109–2118 (1978).
   Google Scholar
• Landon, G., Lewis, G., and Boden, G. F., J. Mater. Sci. 12, 1605–1613 (1977).
   Google Scholar
• Benveniste, Y., Mech. Mater. 4, 197–208 (1985).
   Google Scholar
• Hashin, Z., Mech. Mater. 8, 333–348 (1990).
   Google Scholar
• Papanicolaou, G. C., Paipetis, S. A., and Theocaris, P. S., Kolloid Z. Polym. 256, 625–630 (1978).
   Web of Science ®Google Scholar
• Papanicolaou, G. C., and Theocaris, P. S., Kolloid Z. Z. Polym. 257, 239–246 (1979).
   Google Scholar
• Einstein, A., Ann. Phys. 34, 591–592 (1911).
   Google Scholar
• Paul, B., Trans. Metall. Soc. AIME 218, 36–41 (1960).
   Google Scholar
• Guth, G., J. Appl. Phys. 16, 20–25 (1945).
   Google Scholar
• Smallwood, H. M., J. Appl. Phys. 15, 758–766 (1944).
   Google Scholar
• Counto, U. J., Mag. Concr. Res. 16(48), 129–138 (1964).
   Google Scholar
• Takahashi, K., Ikeda, M., and Harakawa, K., J. Polym. Sci. Part B: Polym. Phys. 16(3) 415–425 (1978).
   Google Scholar
• Rodin, G. J., and Hwang, Y., Int. J. Solids Struct. 27, 145–159 (1989).
   Google Scholar
• Tran-Cong, T., Phan-Thien, N., and Graham A. L., Phys. Fluids, 2, 666–673 (1989).
   Google Scholar
• Cruz, M. C., Ghaddar C. K., and Patera A. T., Proceedings of the ASME International Symposium Parallel Comparative in Multiphase Flow Systems Simulations, S. Kim, G.K. Karniadakis, M.K. Vernon (eds.), (1994), pp. 1–9.
   Google Scholar
• Torquato S. J. J. Mech. Phys. Solids 35(19), 2385–2406 (1998).
   Google Scholar
• Gibianski, L. V., and Torquato, S. J., J. Mech. Phys. Solids 46, 749–783 (1998).
   Web of Science ®Google Scholar
• O’ Rourke, J. P., Ingber, M. S., and Weiser, M. W. J., Compos. Mater. 31, 910–934 (1997).
   Google Scholar
• Kachanov, M., and Sevostianov, I., Int. J. Solids Struct. 42, 309–336 (2005).
   Google Scholar
• Wang, W., and Jasiuk, I. J., Compos. Mater. 32, 1391–1424 (1998).
   Google Scholar
• Khan, K. A., and Muliana, A. H., Acta Mech. 209, 153–178 (2010).
   Web of Science ®Google Scholar
• Sevostianov, I., Mech. Mater. 45, 20–33 (2012).
   Google Scholar
• Lombardo, N., Research Report No. 2004/01, School of Mathematical and Geospatial Sciences, RMIT University (2004).
   Google Scholar
• Eshelby, J. D., Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 241, No. 1226. (August 20, 1957), pp. 376–396.
   Web of Science ®Google Scholar
• Chen, H. S., and Acrivos, A., Int. J. Solids and Struct. 14, 349–364 (1978).
   Google Scholar
• Ju, J. W., Chen, T. M., Acta Mechanica 103, 123–144 (1994).
   Google Scholar
• Nemat-Nasser, S., Iwakuma, T., and Hejazi, M., Mech. Mater. 1(3), 239–267 (1982).
   Google Scholar
• Kevin, P., Walker, E. H. J., Freed, A. D., Micromech. Inhomogeneity 535–558 (1990).
   Google Scholar
• Nunan, K. C., Keller, J. B., J. Mech. Phys. Solids 32, 259–280 (1984).
   Google Scholar
• Sangani, A. S., Lu, J. W., J. Mech. Phys. Solids 35, 1–21 (1987).
   Google Scholar
• Rodin, G. J., Int. J. Solids Struct. 30, 1849–1863 (1993).
   Google Scholar
• Kushch, V. I., Int. J. Solids Struct. 34, 1353–1366 (1997).
   Google Scholar
• Cohen, I., Bergman, D. J., Int. J. Solids Struct. 51, 1433–1457 (2003).
   Google Scholar
• Yin, H. M., and Sun, L. Z., Phil. Mag. Lett. 85, 163–173 (2005).
   Web of Science ®Google Scholar
• Kanaun, S. K., and Kudriavtseva, L. T., Appl. Math. Mech. 50, 483–491 (1986).
   Web of Science ®Google Scholar
• Garboczi, E. J., and Bentz, D. P., Adv. Cem. Based Mater. 6, 99–108 (1997).
   Google Scholar
• Lutz, M. P., and Ferrari, M., Compos. Eng. 3, 873–884 (1993).
   Google Scholar
• Lutz, M. P., and Zimmerman, R. W., J. Appl. Mech. 63, 855–861 (1996).
   Web of Science ®Google Scholar
• Lutz, M. P., and Zimmerman, R. W., Int. J. Solids Struct. 42, 429–437(2005).
   Google Scholar
• Sevostianov, I., Int. J. Fract. 145, 333–340 (2007).
   Google Scholar
• Sevostianov, I., and Kachanov, M. Int. J. Fract. 139, 121–127 (2006).
   Google Scholar
• Sevostianov, I., and Kachanov, M., Int. J. Solids Struct. 44, 1304–1315 (2007).
   Google Scholar
• Shen, L., and Li, J., Int. J. Solids Struct. 40, 1393–1409 (2003).
   Google Scholar
• Öchsner, A., and Augustin, C., Multifunctional Metallic HollowSphere Structures: Manufacturing, Properties and Application,(Springer, Berlin, Germany, 2009).
   Google Scholar
• Yu, M., Zhu, P., and Ma, Y., Comp. Mater. Sci. 63,232–243 (2012).
   Google Scholar
• Yu, M., Zhu, P., and Ma, Y., Comp. Mater. Sci. 61, 89–98 (2012).
   Google Scholar
• Lipatov, Y. S., Adv. Polym. Sci. 22, I–59 (1977).
   Google Scholar
• Venetis, J., and Sideridis, E., J. Adhesion 91(4), 262–291 (2015).
   Google Scholar
• Nielsen, L. E., J. Comp. Mat. 1, 100–119 (1967).
   Google Scholar
• Nicolais, L., Mashelkar, R. A., J. Appl. Polym. Sci. 20, 561–563 (1976).
   Google Scholar
• Schrager, M., J. Appl. Polym. Sci. 22, 2379–2381 (1978).
   Google Scholar