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Effective elastic moduli of porous solids

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TLDR
In this paper, the authors used a particular model from the variation of the effective Poisson's ratio to determine the effective bulk modulus of a porosity-dependent hollow sphere.
Abstract
The principles of continuum mechanics can be extended to porous solids only if the effective moduli are known. Although the effective bulk modulus has already been determined by approximating the geometry of a porous solid to be a hollow sphere, bounds could only be established for the other moduli. This problem of indeterminacy of the moduli is solved in this study using a particular model from the variation of the effective Poisson's ratio. In addition to this, the results are extended for the hollow sphere to real geometry by introducing a porositydependent factor. These results are compared with experimental data and the agreement is found to be good. As the effective Poisson's ratio cannot be determined accurately using experiments, the derived equation is verified using finite element analysis.

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Citations
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Journal ArticleDOI

Elastic Properties of Model Porous Ceramics

TL;DR: In this paper, the influence of porosity and pore shape on the elastic properties of model porous ceramics is studied. And the authors provide simple formulas that can be used to predict elastic properties and allow the accurate interpretation of empirical property-porosity relations in terms of pore shapes and structure.
Journal ArticleDOI

Mechanical behaviour of ceramic oxygen ion-conducting membranes

TL;DR: In this paper, the biaxial flexural strength and fracture toughness of tape-cast YSZ have been measured at room temperature and at a typical operating temperature of 900°C.
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Mechanical properties of tape cast nickel-based anode materials for solid oxide fuel cells before and after reduction in hydrogen

TL;DR: In this paper, the elastic moduli, biaxial strength and fracture toughness of unreduced (NiO-YSZ) and reduced (Ni-YSZ) anode were determined as functions of porosity.
Journal ArticleDOI

Effective Elastic Moduli of Porous Ceramic Materials

TL;DR: In this paper, the applicability of a few theoretical models for determining effective elastic moduli, using published experimental data on ceramic materials in a porosity range of 0-40% and on a cellular material with porosity of about 90%.
Journal ArticleDOI

Elastic properties of ceramic oxides used in solid oxide fuel cells (SOFC)

TL;DR: In this paper, the effective Young's (E ∗ ) and shear moduli and Poisson's ratio of some materials of interest for solid oxide fuel cells (SOFC), namely 10 and 20 mol% Gd2O3 doped CeO2 (GCO), 3 and 8 mol% Y 2O3 stabilized ZrO2 and YSZ, and 75 mol% NiO-YSZ, were measured.
References
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Journal ArticleDOI

The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems

TL;DR: In this paper, it is shown that to answer several questions of physical or engineering interest, it is necessary to know only the relatively simple elastic field inside the ellipsoid.
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A variational approach to the theory of the elastic behaviour of multiphase materials

TL;DR: In this paper, the authors derived upper and lower bounds for the effective elastic moduli of quasi-isotropic and quasi-homogeneous multiphase materials of arbitrary phase geometry.
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A self-consistent mechanics of composite materials

TL;DR: In this article, the elastic moduli of two-phase composites are estimated by a method that takes account of the inhomogeneity of stress and strain in a way similar to the Hershey-Kroner theory of crystalline aggregates.
Journal ArticleDOI

On the elastic moduli of some heterogeneous materials

TL;DR: In this paper, a heuristic analysis is given for the determination of the elastic moduli of a composite material, the several constituents of which are each isotropic and elastic, and the results are intended to apply to heterogeneous materials composed of contiguous, more-or-less spherical grains of each of the phases.
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