journal article·2002-10

Effect of a Minimal Spacing between Inhomogeneities on the Effective Moduli of Isotropic Plates with Circular Inhomogeneities

Lianxi Shen, Jackie Li

International Journal of Fracture· Volume 117· Issue 4
Publisher page

Abstract

An interaction factor is used to characterize the effect of the interactions among inhomogeneities on the effective moduli. Many circular samples of plates are generated using a random number generator. When randomly generating a sample, a minimal spacing between inhomogeneities is set. Then, simulations using FEM are carried out to check the effect of the minimal spacing on the interaction factor. FEM results show that the interaction factor decreases as the minimal spacing increases.
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Research context

OpenAlex topics: Composite Material Mechanics · Rock Mechanics and Modeling · Advanced Mathematical Modeling in Engineering

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References (10)

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1. R. M. Christensen, A critical Evaluation for a class of Micromechanies models. J. Mech. Phys. Solids. 38 (1990) 379-404.10.1016/0022-5096(90)90005-O ↗
2. J.D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc. R. Soc. Lond. Series A 241 (1957) 376-396.
3. M. Kachanov, Effective elastic properties of cracked solids: critical review of some basic concepts. Appl. Mech. Rev., 45 (1992) 304-335.10.1115/1.3119761 ↗
4. M. Kachanov, Elastic solids with many cracks and related problems. Adv. Appl. Mech., 30 (1994) 259-445.10.1016/S0065-2156(08)70176-5 ↗
5. S. Nemat-Nasser and M. Hori, Microniechanics: overall properties of heterogeneous materials, Elsevier, Amsterdam (1993).
6. G. J. Rodin and Y.-L. Hwang, On the problem of linear elasticity for an infinite region containing a finite number of non-intersecting spherical inhomogeneities. Int. J. Solids Struct. 27 (1991) 145-159.10.1016/0020-7683(91)90225-5 ↗
7. L. Shen and S. Yi, New solutions for effective elastic moduli of mierocracked solids. Int. J. Solids Struct. 37 (2000) 3525-3534.10.1016/S0020-7683(99)00124-9 ↗
8. L. Shen and S. Yi, An effective-inclusion model for effective moduli of heterogeneous materials composed of a matrix and dispersed ellipsoidal inhomogeneities. Int. J. Solids Struct. 38 (2001) 5789-5805.10.1016/S0020-7683(00)00370-X ↗
9. G. J. Weng, Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions. Int. Engng. Sci. 22 (1984) 845-856.10.1016/0020-7225(84)90033-8 ↗
10. G. J. Weng, The theoretical connection between Mori-Tanaka's theory and the Hashin-Shtrikman-Wal pole bounds. Int. J. Engng. Sci. 28 (1990) 1111-1120.10.1016/0020-7225(90)90111-U ↗