Constitutive Theory And Damage Analysis Of Particulate-reinforced Composites

In this paper, based on micro-mechanics method, a two-phase composite effective model is presented for particulate-reinforced composite. It is assumed that the particles were uniformly distributed in an infinite matrix, as inclusion of composites with interphase and matrix. Constitutive equations are derived for the stress and strain of each phase of the multi-inclusions composite, subjected to a far-field tension. Based on these constitutive laws, the effective bulk, shear and Young’s modulus are obtained. The dependence of the effective modulus of composites on particle volume fraction, interfacial strength, interphase properties and multi-particles are discussed.In this article, established the reinforcing particles’ stress-strain relationship when they occur debonding damage on the premise of considering the temperature change and elastic-plastic deformation. In the process of describing the bearing stress of particles, this paper concludes that the constitutive relation of expressions to express three situation—the complete particles, partial debonding particles and complete debonding particles. In addition, according to the derived formula, it is concluded the curve of coefficient-thermal expansion under the influence of different particle volume fraction and aspect ratio.Numerical analyses were carried out on a serious of particle-reinforced composite for the effective properties based on the present model. Furthermore, the initial particles are replaced by voids and effective modulus of porous material was obtained. The calculation results are compared with other experimental results presented in this paper, the rationality of this model was verified. Using Weibull probability distribution function to describe particle debonding occurs, the condition of complete debonding particles as have appropriate volume fraction of hollow. And using this model, description of interface between the particles and particle composites matrix debonding damage process. Damage process of material effect on the effective modulus.