Elastic Moduli of Composites Reinforced by Multiphase Particles
- 1 December 1995
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 62 (4) , 1023-1028
- https://doi.org/10.1115/1.2896038
Abstract
A theoretical approach is proposed to estimate the elastic moduli of three-phase composites consisting of a matrix phase reinforced by two-phase particles. The theoretical predictions are based on a simple extension to nondilute concentrations of the mechanical concentration factors obtained from the recent analysis of the average elastic fields in a double inclusion by Hori and Nemat-Nasser (1993). The proposed micromechanics theory can account for the effects of shapes and concentrations of both the particles and the dispersed phase in the particles. Theoretical estimates of the concentration factors and the effective elastic moduli are obtained in closed form and are diagonally symmetric and fall within the Hashin-Shtrikman-Walpole bounds for all cases considered. The theoretical predictions are in excellent agreement with experimental results obtained from pulse-echo and rod-resonance measurements of the elastic moduli of a three-phase composite consisting of an aluminum matrix reinforced by mullite/alumina particles.Keywords
This publication has 21 references indexed in Scilit:
- A variational approach to the theory of the elastic behaviour of multiphase materialsPublished by Elsevier ,2002
- Double-inclusion model and overall moduli of multi-phase compositesMechanics of Materials, 1993
- Mori-Tanaka Estimates of the Overall Elastic Moduli of Certain Composite MaterialsJournal of Applied Mechanics, 1992
- On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous mediaJournal of the Mechanics and Physics of Solids, 1991
- A new approach to the application of Mori-Tanaka's theory in composite materialsMechanics of Materials, 1987
- Dynamic elastic modulus and internal friction in G-10CR and G-11CR fibreglass-cloth-epoxy compositesCryogenics, 1980
- Elastic constants of synthetic single crystal corundumJournal of Research of the National Bureau of Standards Section A: Physics and Chemistry, 1966
- Elastic properties of reinforced solids: Some theoretical principlesJournal of the Mechanics and Physics of Solids, 1963
- The determination of the elastic field of an ellipsoidal inclusion, and related problemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957
- The Elastic Behaviour of a Crystalline AggregateProceedings of the Physical Society. Section A, 1952