scholarly journals Micromechanics and effective elastic moduli of particle-reinforced composites with near-field particle interactions

2010 ◽  
Vol 215 (1-4) ◽  
pp. 135-153 ◽  
Author(s):  
J. W. Ju ◽  
K. Yanase
Keyword(s):  
Elastic Moduli ◽  
Near Field ◽  
Particle Interactions ◽  
Effective Elastic Moduli ◽  
Reinforced Composites ◽  
Particle Reinforced Composites

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.

scholarly journals Optimization of elasticity of unidirectionnal non-overlapping fiber reinforced materials

2019 ◽  
Vol 286 ◽  
pp. 03004
Author(s):  
L. Lakhal ◽  
Y. Brunet ◽  
T. Kanit
Keyword(s):  
Elastic Properties ◽  
Elastic Moduli ◽  
Volume Averaging ◽  
Distribution Functions ◽  
Fiber Reinforced Composites ◽  
Effective Elastic Moduli ◽  
Reinforced Composites ◽  
Fiber Reinforced ◽  
Fiber Reinforced Materials ◽  
Local Stresses

The aim of this work is to efficiently select samples of non-overlapping parallel fiber reinforced composites with regard to their elasticity and their fiber distribution in the composite cross-section. The samples were built with the help of the simulated annealing technique according to chosen Radial Distribution Functions. For each sample the fields of local stresses were simulated by finite element method, then homogenized by volume averaging in order to investigate their elastic properties. The effect of RDF shape on elastic properties was quantified. The more the fiber distributions deviate from Poisson’s Law the higher the effective elastic moduli are. A method to select samples of real fiber reinforced composites according to their elasticity is proposed.

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