Estimations for the overall properties of some locally-ordered composites

Chinh, Pham Duc

doi:10.1007/bf01262531

Cited by 19 publications

(21 citation statements)

References 18 publications

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“…., and the relative volume proportions and coating orders of the phases in all n-compound spheres are the same. The parameters A bc a of this N-phase model have been determined exactly (Pham, 1997b(Pham, , 2011. One can also generalize the model further: consider a random mixture of multicoated spheres of different kinds, where the embedding orders of phases may be different in different compound spheres but the relative volume proportions of the phases in all N-compound spheres remain the same.…”

Section: Three-point Correlation Geometric Parametersmentioning

confidence: 99%

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Bounds on the elastic moduli of statistically isotropic multicomponent materials and random cell polycrystals

Chinh¹

2012

International Journal of Solids and Structures

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Keywords:Effective elastic moduli Statistically isotropic multicomponent material Symmetric cell material Random cell polycrystal Three-point correlation parameter a b s t r a c t Minimum energy and complementary energy principles are used to derive the upper and lower bounds on the effective elastic moduli of statistically isotropic multicomponent materials in d (d ¼ 2 or 3) dimensions. The trial fields, involving harmonic and biharmonic potentials, and free parameters to be optimized, lead to the bounds containing, in addition to the properties and volume proportions of the material components, the three-point correlation information about the microgeometries of the composites. The relations and restrictions among the three-point correlation parameters are explored. The upper and lower bounds are specialized to symmetric cell materials and asymmetric multi-coated spheres, which are optimal or even converge in certain cases. New bounds for random cell polycrystals are constructed with particular results for random aggregates of cubic crystals.

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Section: Three-point Correlation Geometric Parametersmentioning

confidence: 99%

“…The parameters A bc a for the model have been determined exactly (phase-1 -inclusion, phase-2 -matrix; Pham, 1997b;Pham and Torquato, 2003) A 11…”

Section: Three-point Correlation Geometric Parametersmentioning

confidence: 99%

Bounds on the elastic moduli of statistically isotropic multicomponent materials and random cell polycrystals

Chinh¹

2012

International Journal of Solids and Structures

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“…1a), the parameters ζ α have been determined exactly and analytically [7,8]. In particular ζ 2 = 1 if phase-2 is the matrix phase, and ζ 2 = 0 if it is the inclusion phase.…”

Section: Applicationsmentioning

confidence: 99%

Three-point correlation bounds on the effective bulk modulus of isotropic multicomponent materials

Chinh¹,

Dong²

2012

Vietnam J. Mech.

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“…. [10][11][12][13][14][15][16][17], which often account just for the shapes of the inhomogeneities and the matrix-inclusion interactions. Many approximations are actually applicable for only the composites with isotropic inclusions of simple shapes.…”

Section: Introductionmentioning

confidence: 99%

Equivalent-inclusion approach for the conductivity of isotropic matrix composites with anisotropic inclusions

Hoang

Chinh

2016

Vietnam J. Mech.

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Abstract. Many effective medium approximations for effective conductivity are elaborated for matrix composites made from isotropic continuous matrix and isotropic inclusions associated with simple shapes such as circles or spheres, . . . In this paper, we focus specially on the effective conductivity of the isotropic composites containing the disorderly oriented anisotropic inclusions. We aim to replace those inhomogeneities by simple equivalent circular (spherical) isotropic inclusions with modified conductivities. Available simple approximations for the equivalent circular (spherical)-inclusion media then can be used to estimate the effective conductivity of the original composite. The equivalentinclusion approach agrees well with numerical extended finite elements results.

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Estimations for the overall properties of some locally-ordered composites

Cited by 19 publications

References 18 publications

Bounds on the elastic moduli of statistically isotropic multicomponent materials and random cell polycrystals

Bounds on the elastic moduli of statistically isotropic multicomponent materials and random cell polycrystals

Three-point correlation bounds on the effective bulk modulus of isotropic multicomponent materials

Equivalent-inclusion approach for the conductivity of isotropic matrix composites with anisotropic inclusions

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