Damage Evolution And Constitutive Relation Of Particulate-Reinforced Composites

Mechanical properties of particulate-reinforced composites are determined by themechanical properties of matrix and particles which are distributed in the matrix and theinteraction between these components. Based on the micro-mechanics, this paper dealswith the micro-structures of the composite, matrix, and particles and develops theconstitutive models of these materials. The models can describe the evolution ofdebonding damage, volume fraction of particles, and particle size effects on deformationand damage.In the present work, we combine Eshelby's equivalent inclusion method andself-consistent method and consider the particles and matrix as equal components, that is,particles and matrix are inclusions of particulate-reinforced composites. Based on theincremental relation between particles and matrix, which is obtained in this study, theincremental constitutive relations of composite, matrix, and particles have been developed.According to these relations, this investigation proposes a composite effective modulus,which can describe the evolution of debonding damage for the composites analyzed.Numerical analysis has been conducted for the Ramburg-Qsgood function combinedwith effective elastic modulus obtained. The constitutive equation curves for differentparticle volume fraction can describe the influence of debonding damage on effectiveelastic modulus of composites.A new analysis method of effective elastic modulus for composites has beendeveloped. Moreover, the change rules of particle volume fraction and debonding damageare proposed through this new method. The numerical results obtained from the presentstudy have a better agreement with the experimental results.