Effective Elastic Properties of 3-Phase Particle Reinforced Composites with Randomly Dispersed Elastic Spherical Particles of Different Sizes

2021 ◽  
Vol 129 (1) ◽  
pp. 1-24
Author(s):  
Yu-Fu Ko ◽  
Jiann-Wen Woody Ju
Keyword(s):  
Elastic Properties ◽  
Phase Particle ◽  
Spherical Particles ◽  
Reinforced Composites ◽  
Effective Elastic Properties ◽  
Particle Reinforced Composites

Probability of Debonding and Effective Elastic Properties of Particle-Reinforced Composites

2017 ◽  
Vol 33 (6) ◽  
pp. 789-796 ◽  
Author(s):  
L. C. Bian ◽  
W. Liu ◽  
J. Pan
Keyword(s):  
Elastic Properties ◽  
Effective Properties ◽  
Effective Elastic Modulus ◽  
Reinforced Composites ◽  
Effective Elastic Properties ◽  
Linear Elastic ◽  
Mechanics Model ◽  
Equivalent Inclusion ◽  
Particle Reinforced Composites ◽  
Good Agreement

AbstractIn this paper, the effective properties of particle-reinforced composites with a weakened interphase are investigated. The particle and interphase are regarded as an equivalent-inclusion, and the interphase zone around the particle is modeled as a linear elastic spring layer. A modified micro-mechanics model is proposed to obtain the effective elastic modulus. Moreover, a statistical debonding criterion is proposed to characterize the varying probability of the evolution of interphase debonding. Numerical examples are considered to illustrate the effect of imperfect interphases on the effective properties of particle-reinforced composites. It is found that the effective elastic properties obtained in the present work are in a good agreement with the existing data from the literatures.

scholarly journals On the Effective Elastic Properties of Macroscopically Isotropic Media Containing Randomly Dispersed Spherical Particles

2010 ◽  
Vol 132 (2) ◽  
Author(s):  
D. Cojocaru ◽  
A. M. Karlsson
Keyword(s):  
Elastic Properties ◽  
Volume Fraction ◽  
Particle Volume Fraction ◽  
3D Structure ◽  
Area Fraction ◽  
Spherical Particles ◽  
Particle Volume ◽  
Effective Elastic Properties ◽  
Isotropic Media ◽  
Equivalent Area

A computational scheme for estimating the effective elastic properties of a particle reinforced matrix is investigated. The randomly distributed same-sized spherical particles are assumed to result in a composite material that is macroscopically isotropic. The scheme results in a computational efficient method to establish the correct bulk and shear moduli by representing the three-dimensional (3D) structure in a two-dimensional configuration. To this end, the statistically equivalent area fraction is defined in this work, which depends on two parameters: the particle volume fraction and the number of particles in the 3D volume element. We suggest that using the statistically equivalent area fraction, introduced and defined in this work, is an efficient way to obtain the effective elastic properties of an isotropic media containing randomly dispersed same-size spherical particles.

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