Number of inhomogeneities at which the effective moduli of a heterogeneous material stabilize

When the effective elastic moduli of heterogeneous materials containing inhomogeneities are numerically calculated, one of the issues is the number of inhomogeneities at which the effective moduli stabilize. This number may depend on the shape and distribution of the inhomogeneities. In this study,...

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Veröffentlicht in:International journal of fracture 2003-02, Vol.119 (3), p.L67-L70
Hauptverfasser: Shen, Lianxi, Li, Jackie
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description When the effective elastic moduli of heterogeneous materials containing inhomogeneities are numerically calculated, one of the issues is the number of inhomogeneities at which the effective moduli stabilize. This number may depend on the shape and distribution of the inhomogeneities. In this study, circular holes of the same size are considered. Two distributions of holes, equilateral triangular and random ones are analyzed. It is found that the effective moduli associated with the two distributions stabilize for the samples with seven and nineteen holes, respectively.
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subjects Condensed matter: structure, mechanical and thermal properties
Elasticity, elastic constants
Exact sciences and technology
Inhomogeneity
Mechanical and acoustical properties of condensed matter
Mechanical properties of solids
Modulus of elasticity
Physics
title Number of inhomogeneities at which the effective moduli of a heterogeneous material stabilize
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