Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation

Abstract Fracture of materials with rate-dependent mechanical behaviour, e.g. polymers, is a highly complex process. For an adequate modelling, the coupling between stiffness, dissipative mechanisms present in bulk material and crack driving force has to be accounted for appropriate manner. In addition, resistance against propagation can depend on rate deformation. this contribution, energetic phase-field model fracture at finite deformation presented. material, formulation viscoelasticity adopted strain energy densities Ogden type assumed. The unified allows study different expressions force. Furthermore, possibly toughness incorporated. calibrated using experimental results from literature elastomer predictions are qualitatively quantitatively validated data. Predictive capabilities studied monotonic loads as well creep fracture. Symmetrical asymmetrical patterns discussed influence contribution analysed. It shown that, ductile metals, such not required simulation experimentally observable paths favourable description failure viscoelastic rubbery polymers. by means numerical study. From phenomenological point view, it demonstrated that rate-dependency essential ingredient when specific effects brittle-to-ductile transitions shall described.