Evaluation of Elastic Moduli of Particle-reinforced Composites by Self-consistent Method

2003 ◽  
Vol 2003.16 (0) ◽  
pp. 621-622
Author(s):  
Eijiro INAMURA ◽  
Katsumi TAO
Keyword(s):  
Elastic Moduli ◽  
Reinforced Composites ◽  
Particle Reinforced Composites ◽  
Self Consistent ◽  
Consistent Method

The Effect of Microstructural Morphologies on the Effective Electromechanical Properties of Piezoelectric Particle Composites

2012 ◽  
Author(s):  
Vahid Tajeddini ◽  
Chien-hong Lin ◽  
Anastasia Muliana ◽  
Martin Lévesque
Keyword(s):  
Mechanical Properties ◽  
Elastic Moduli ◽  
Volume Fraction ◽  
Micromechanical Model ◽  
Three Dimensional ◽  
Particle Sizes ◽  
Reinforced Composites ◽  
Electromechanical Properties ◽  
Particle Volume ◽  
Self Consistent

This study introduces a micromechanical model that incorporates detailed microstructures for analyzing the effective electro-mechanical properties, such as piezoelectric and permittivity constants as well as elastic moduli, of piezoelectric particle reinforced composites. The studied composites consist of polarized spherical piezoelectric particles dispersed into a continuous and elastic polymeric matrix. A micromechanical model generated using three-dimensional (3D) continuum elements within a finite element (FE) framework. For each volume fraction (VF) of particles, realization with different particle sizes and arrangements were generated in order to represent microstructures of a particle composite. We examined the effects of microstructural morphologies, such as particle sizes and distributions, and particle volume fractions on the overall effective electro-mechanical properties of the active composites. The overall electro-mechanical properties determined from the present micromechanical model were compared to those generated using the Mori-Tanaka, self-consistent, and simplified unit-cell micromechanical models.

Effective Elastic Moduli of Spherical Particle Reinforced Composites Containing Imperfect Interfaces

2011 ◽  
Vol 21 (1) ◽  
pp. 97-127 ◽  
Author(s):  
K. Yanase ◽  
J. W. Ju
Keyword(s):  
Spherical Particle ◽  
Elastic Moduli ◽  
Elastic Stiffness ◽  
Inclusion Problem ◽  
Effective Elastic Moduli ◽  
Reinforced Composites ◽  
Approximate Methods ◽  
Imperfect Interfaces ◽  
Eshelby Inclusion ◽  
Particle Reinforced Composites

The effective elastic moduli of composite materials are investigated in the presence of imperfect interfaces between the inclusions and the matrix. The primary focus is on the spherical particle reinforced composites. By admitting the displacement jumps at the particle–matrix interface, the modified Eshelby inclusion problem is studied anew. To derive the modified Eshelby tensor, three approximate methods are presented and compared by emphasizing the existence of a unique solution and computational efficiency. Subsequently, the effective elastic stiffness tensor of the composite is formulated based on the proposed micromechanical framework and homogenization. Specifically, by incorporating imperfect interface, the modified versions of the Mori–Tanaka method, the self-consistent method, and the differential scheme are presented. By comparing these three methods, the effects of interfacial sliding and separation on the degradation (damage) of the effective elastic moduli of composites are analyzed and assessed. Finally, a critical aspect of the presented formulations is specifically addressed.

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