Elastoplastic behavior of particle reinforced metal matrix composites considering partially interfacial debonding

Based on Mori-Tanaka's concept of average stress in the matrix and Eshelby's equivalent inclusions theory, the rigid tensor is derived considering the damaged phase under the prescribed traction boundary conditions. Weibull distribution function is used to characterize phenomenologically the debonded probability of the interface, which is decided by the tensile stress of the particle. A partially debonded isotropic spherical elastic particle is replaced by an equivalent, perfectly bonded spherical particle, which possesses yet unknown transversely isotropic elastic moduli. The fictitious particles can be determined in such a way that their tensile and shear stresses will only vanish in the debonded direction. The matrix and composite are postulated isotropic and the matrix satisfies Mises yield criterion and isotropic hardening law. Then the elastoplastic properties of the spherical particle reinforced metal matrix are discussed considering the interfacial debonding by secant modulus method. The theoretical uniaxial stress-strain bebavior of the composite agrees well with the experimental curves.