Phase Field Modeling of Crack Growth with Viscoplasticity

The fracture of viscoplastic materials is a complex process due to its time-dependent and plastic responses. Numerical simulation for fractures plays significant role in crack prediction failure analysis. In recent years, the phase field model has become competitive approach predict growth been extended inelastic materials, such as elasto-plastic, viscoelastic etc. However, contribution energy seldom studied. For this reason, we implement coupled with constitutive finite element framework, which elastic are used driving forces. implicit algorithm presented; procedure suitable other relations. strain rate effect, creep stress relaxation effect cyclic loading responses tested using single-element different contributions. A titanium alloy plate specimen stainless-steel under tension studied compared experimental observations existing literature. results show that above typical damage phenomenon can be well reproduced. significantly accelerates evolution materials. loadings, acceleration low frequency more than high frequency. influence weight factor β on force-displacement curve mainly occurs after reaching maximum force point. With increase β, drops faster curve. slight paths.