Micromechanical modeling of finite viscoelastic multiphase composites

A three-dimensional finite viscoelastic constitutive relation for monolithic materials is incorporated with a micromechanical multiphase short-fiber composite model. As a result a micromechanical modeling of viscoelastic multiphase composites in which the constituents exhibit, in general, finite viscoelastic deformation is established. The micromechanical analysis provides closed-form representations for the instantaneous concentration tensors as well as for the current effective tangent tensor. Results exhibit, in particular, the hysteretic response of finite strain viscoelastic composites that are subjected to cyclic loadings.