Two-Ellipsoidal Inhomogeneities by the Equivalent Inclusion Method

Moschovidis, Z.A.; Mura, T.

doi:10.1115/1.3423718

Cited by 254 publications

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“…In contrast to the formulation proposed by Moschovidis and Mura [3], we consider the constant or volume-averaged total eigenstrain ε * * for the sake of simplicity. Hence, by using Eqs.…”

Section: Pairwise Particle Interactionmentioning

confidence: 99%

“…In addition, by performing the volume-averaging in the I domain with a Taylor expansion [3,5] at the origin of the x coordinate (cf. Fig.…”

Section: Pairwise Particle Interactionmentioning

confidence: 99%

“…In the presence of near-field interactions, the eigenstrain may no longer be constant. Therefore, Moschovidis and Mura [3] formulated the polynomial eigenstrain to account for the effects of interactions for the stress/strain fields. In practice, it is almost impossible to find the eigenstrain in the presence of many inclusion interactions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Micromechanics and effective elastic moduli of particle-reinforced composites with near-field particle interactions

Yanase

2010

Acta Mech

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A micromechanical framework is proposed to predict effective elastic moduli of particle-reinforced composites. First, the interacting eigenstrain is derived by making use of the exterior-point Eshelby tensor and the equivalence principle associated with the pairwise particle interactions. Then, the near-field particle interactions are accounted for in the effective elastic moduli of spherical-particle-reinforced composites. On the foundation of the proposed interacting solution, the consistent versus simplified micromechanical field equations are systematically presented and discussed. Specifically, the focus is upon the effective elastic moduli of two-phase composites containing randomly distributed isotropic spherical particles. To demonstrate the predictive capability of the proposed micromechanical framework, comparisons between the theoretical predictions and the available experimental data on effective elastic moduli are rendered. In contrast to higher-order formulations in the literature, the proposed micromechanical formulation can accommodate the anisotropy of reinforcing particles and can be readily extended to multi-phase composites.

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“…In contrast to the formulation proposed by Moschovidis and Mura [3], we consider the constant or volume-averaged total eigenstrain ε * * for the sake of simplicity. Hence, by using Eqs.…”

Section: Pairwise Particle Interactionmentioning

confidence: 99%

“…In addition, by performing the volume-averaging in the I domain with a Taylor expansion [3,5] at the origin of the x coordinate (cf. Fig.…”

Section: Pairwise Particle Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Micromechanics and effective elastic moduli of particle-reinforced composites with near-field particle interactions

Yanase

2010

Acta Mech

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show abstract

“…Therefore, by applying the area-averaging in the A I domain with a Taylor expansion (cf. [6], [8]) at the origin of x coordinate (cf. Fig.…”

Section: Pair-wise Fiber Interactionsmentioning

confidence: 99%

“…For instance, Moschovidis and Mura [6] considered the polynomial eigenstrain to account for the effect of pair-wise interactions for stress/strain fields. In reality, it is impossible to find the analytical eigenstrain in the presence of many particle interactions.…”

Section: Introductionmentioning

confidence: 99%

Micromechanical effective elastic moduli of continuous fiber-reinforced composites with near-field fiber interactions

Yanase

2010

Acta Mech

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A higher-order micromechanical framework is presented to predict the overall elastic deformation behavior of continuous fiber-reinforced composites with high-volume fractions and random-fiber distributions. By taking advantage of the probabilistic pair-wise near-field interaction solution, the interacting eigenstrain is analytically derived. Subsequently, by making use of the Eshelby equivalence principle, the perturbed strain within a continuous circular fiber is accounted for. Further, based on the general micromechanical field equations, effective elastic moduli of continuous fiber-reinforced composites are constructed. An advantage of the present framework is that the higher-order effective elastic moduli of composites can be analytically predicted with relative simplicity, requiring only material properties of the matrix and fibers, the fiber-volume fraction and the microstructural parameter γ . Moreover, no Monte Carlo simulation is needed for the proposed methodology. A series of comparisons between the analytical predictions and the available experimental data for isotropic and anisotropic fiber reinforced composites illustrate the predictive capability of the proposed framework.

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A new finite element for treating plane thermomechanical heterogeneous solids

Meguid

1999

Int. J. Numer. Meth. Engng.

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SUMMARYThis study is concerned with the development and implementation of a new ÿnite element which is capable of treating the problem of interacting circular inhomogeneities in heterogeneous solids under mechanical and thermal loadings. The general form of the element, which is constructed from a cell containing a single circular inhomogeneity in a surrounding matrix, is derived explicitly using the complex potentials of Muskhelishvili and the Laurent series expansion method. The newly proposed eight-noded plane element can be used to treat quite readily the two-dimensional steady-state heat conduction and thermoelastic problems of an elastic circular inclusion embedded in an elastic matrix with di erent thermomechanical properties. Moreover, the devised element may be applied to deal with arbitrarily and periodically located multiple inhomogeneities under general mechanical and thermal loading conditions using a very limited number of elements. The current element also enables the determination of the local and e ective thermoelastic properties of composite materials with relative ease. Three numerical examples are given to demonstrate its versatility, accuracy and e ciency.

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Two-Ellipsoidal Inhomogeneities by the Equivalent Inclusion Method

Cited by 254 publications

References 0 publications

Micromechanics and effective elastic moduli of particle-reinforced composites with near-field particle interactions

Micromechanics and effective elastic moduli of particle-reinforced composites with near-field particle interactions

Micromechanical effective elastic moduli of continuous fiber-reinforced composites with near-field fiber interactions

A new finite element for treating plane thermomechanical heterogeneous solids

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