Elastic Moduli of Composites Reinforced by Multiphase Particles-Reference-Cited by-同舟云学术

Elastic Moduli of Composites Reinforced by Multiphase Particles

Published:1995-12-01 Issue:4 Volume:62 Page:1023-1028
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Dunn M. L.¹,Ledbetter H.²

Affiliation:

1. Center for Acoustics, Mechanics, and Materials, Department of Mechanical Engineering, University of Colorado, Boulder, CO 80309

2. Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Boulder, CO 80303

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/62/4/1023/5464180/1023_1.pdf

Reference22 articles.

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2. Benveniste Y. , DvorakG. J., and ChenT., 1991, “On Diagonal Symmetry of the Approximate Effective Stiffness Tensor of Heterogeneous Media,” Journal of the Mechanics and Physics of Solids, Vol. 39, pp. 927–946.

3. Chen T. , DvorakG. J., and BenvenisteY., 1992, “Mori-Tanaka Estimates of the Overall Elastic Moduli of Certain Composite Materials,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 59, pp. 539–546.

4. Eshelby J. D. , 1957, “The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems,” Proceedings of the Royal Society of London, Vol. A241, pp. 376–396.

5. Hashin Z. , and ShtrikmanT., 1963, “A Variational Approach to the Elastic Behavior of Multiphase Materials,” Journal of the Mechanics and Physics of Solids, Vol. 11, pp. 127–140.

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