Micromechanics Theory And Numerical Analysis On Cylindrical Particle Reinforced Composites

The composite materials have some new mechanical properties.In general,the composites contain two components of reinforcement and matrix,and they can also be called inclusions.In this paper,the mechanical properties of the inclusions directly affect the properties of composites.Most particle reinforced composites are with spherical inclusions or ellipsoid inclusions.The main object of this paper focuses on the composites reinforced with cylindrical particle inclusions.For studying the composite materials,the micro-mechanics include self-consistent methods,Mori-Tanaka method,and sparse method.The generalized self-consistent method is applied to predict the effective modulus of composite materials in this paper.We regard the inclusion and the layer of the substrate that encloses it as a simple configuration and establish a localized relationship.This can reflect the basic features of inclusions and the micro-structure of the matrix.Relying on the independent configuration of Whitney and Riley,cylindrical short fibers are embedded in a cylinder of matrix material to form a concentric cylinder model.According to the Halpin-Cai equation,the expression of the elastic modulus of the cylindrical particle reinforced composites and the stress-strain relationship of the composites are predicted and analyzed.Moreover,the formulas for each effective elastic modulus are derived.This article selects silicon carbide/aluminum as an example to explore various factors that affect the effective elastic modulus of composites.The specific numerical values of each component of the composite material are substituted into the formula to find the exact expression.The software MATLAB is employed to do a curve fitting,and to obtain the relationship graphs of the effective elastic modulus of composites,which are influenced by the inclusions and matrix.On the basis of applying the series model and the parallel model theory,the curve,that presents the influence of the matrix volume fraction on the effective elastic modulus of the composite material,is obtained.Finally,the effect of the stress transferring on the stress and strain relationship of the composite material is pointed out.By comparing the effective elastic modulus of thecylindrical particles with that of the spherical particles,it is proved by the case data that the cylindrical particles can better improve the mechanical properties of the tension and compression in the composites.