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Constitutive modeling for rubber-toughened polymers with evolutional anisotropy and volume expansion

A constitutive model for rubber-toughened polymer blends is developed. In most cases, rubber particles contained in a blend can be idealized as voids, because the microscopic cavitation and debonding of rubber particles occurs at a rather early stage of deformation. Under this approximation, a rubber-toughened polymer (polycarbonate—20 vol%SEBS rubber blend) is considered as a porous material. In the present constitutive model, a geometric anisotropy due to changes in void shape during deformation is taken into account. Furthermore, plastic potential and yield condition are modeled as distinct functions in order to accurately reproduce the macroscopic volume change behavior. The values of material parameters are determined through a series of precise experimental studies. It is shown that the proposed constitutive model exhibits a sufficient predictability for the mechanical response of rubber-toughened polymers for engineering applications.