Effective elastoplastic algorithms for ductile matrix composites

A three-dimensional computational algorithm is proposed to implement the micromechanical framework derived by the writers. The proposed formulation is capable of predicting effective elastoplastic behavior of two-phase particle reinforced ductile matrix composites (PRDMCs) containing may randomly dispersed interacting elastic spheres. A strain-driven algorithm is presented to determine the stress for a given strain by using the two-step operator splitting methodology applicable to any arbitrary loading and unloading histories. Furthermore, continuum and consistent tangent moduli are derived in closed form to facilitate the assembly of the global tangent stiffness. Extension is also made to predict effective rate-dependent elasto-viscoplastic behavior of particle-reinforced ductile matrix composites. Finally, finite-element implementation and numerical examples are presented.