The Elastic Properties of Three-Phase Composites

Abstract

A three-phase particulate composite, consisting of filler and voids within an epoxy matrix, was tested in tension and com pression, covering the volumetric filler- and void-content ranges up to 39% and 52% respectively.

Pull-in instability of multi-phase nanocrystalline silicon beams under distributed electrostatic force

“…In this figure, the effects of the inhomogeneities on the effective Young's modulus of a three-phase composite comprising a matrix of epoxy (E 1 ¼ 2:03 GPa and m 1 ¼ 0:4), quartz-sand particles (E 2 ¼ 73:6 GPa and m 2 ¼ 0:25), and voids (E 3 ¼ 0) are plotted when considering our proposed model, the experimental data of Cohen and Ishai (1967), and the Mori-Tanaka predictions (Weng, 1984). Following the works of Cohen and Ishai (1967) and Weng (1984), the volume fractions f 2 and f 3 are related by this relation: f 2 ¼ 0:173 1 À f 3 ð Þ . Clearly, a very good agreement is obtained between our proposed micromechanical model, the Mori-Tanaka predictions, and the experimental measurements.…”

A Mechanical Model for Predicting the Elastic Modulus of Open Cell Foam

“…The B-cell foam will have a different modulus EB compared to that of the solid polymer E. In [1] the following relation is presented:…”

Dynamic Mechanical Properties of Graphite-Epoxy and Carbon-Epoxy Composites

“…Effects of Voids on the Dynamic Modulus As shown by comparing experimental and theoretical densities m Figure 1, voids are included in the samples with the higher filler contents. The elastic modulus usually decreases with increasing void content [ 1,21 ] .…”

“…Following the approach of Cohen and Ishai [21 ] , assuming that the presence of the filler does not affect the elastic properties of the porous matrix, and that the voids are of spherical shape, Equation (10) can be modified to describe a matrix including voids. Considering the filler particles to have the properties of voids, we find that A = -1, B = 0, and Cf = Cv.…”