Effective Elastic Moduli of a Thin-Walled Glass Microsphere/PMMA Composite

Author:

Kinra Vikram K.1,Ker Eric1

Affiliation:

1. Department of Mechanical Engineering University of Colorado Boulder, CO 80309, USA

Abstract

Ultrasonic wave propagation in a composite consisting of thin-walled glass microballoons dispersed in a PMMA matrix in a random homogeneous manner has been studied in the frequency range of 0.5 ≤ n ≤ 5.0 MHz and the volume fraction of inclusions range of 5% ≤ C ≤ 45%. The elastic moduli of the composite, <λ + 2μ> and <μ>, were deduced from the measurements of longitudinal and shear wave velocities. Through a comparison of the ex perimental results with the upper bound on the corresponding stiffness of a PMMA matrix with an equal volume fraction of voids, the additional stiff ness attributable to the presence of the microballoons is deduced. For exam ple, when C = 40%, the additional stiffnesses are roughly 20% of the cor responding matrix stiffness, λ+2μ and μ.

Publisher

SAGE Publications

Subject

Materials Chemistry,Mechanical Engineering,Mechanics of Materials,Ceramics and Composites

Reference19 articles.

1. Shock Propagation in Nonreactive Porous Solids

2. W.E. Jahsman, "Static and Dynamic Material Behavior of Syntactic Foam," Proc. Sym. on the Mech. Behavior of Materials Under Dynamic Loads," Springer-Verlag , (1967), p. 365.

3. Ultrasonic wave propagation in a random particulate composite

4. S.K. Datta, "Scattering by a Random Distribution of Inclusions and Effective Elastic Properties," Continuum Model of Discrete Systems (edited by J.W. Provan). University of Waterloo Press (1978 ), p. 111.

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