A statistical study on the stress–strain relation of progressively debonded composites

In the study, a constitutive model of SiC/Al composites (aluminum alloy) has been developed, which can describe the evolution of interfacial debonding damage between particles and matrix. Eshelby’s equivalent inclusion method and self-consistent method have been extended to three-phase composites, and the effective elastic modulus of SiC/Al composites is predicted. It is assumed that the particle, interphase and matrix are all inclusions of composites. Based on the incremental relation between the three phases, the incremental constitutive relations of composites, matrix, interphase, and particles have been obtained. Moreover, the statistical stress–strain relations of progressively debonded composites are graphically predicted and discussed.