Modeling diffusive phase transformation and fracture in viscoplastic materials

In recent years, the phase-field method has attracted a lot of attention and emerged as one most efficient tools for modeling fracture phase transformation. The is based on regularization discontinuities which allows resolution complex problems using classical numerical methods. A multiphase-field model essential describing crack propagation in non-static heterogeneous materials still missing. this work, we fill gap by combining approach Griffith’s theory with diffusive transformation viscoplastic materials. Several benchmark examples increasing complexity demonstrate, effect viscoplasticity behavior critical loading, energy density until failure topology. We show that activity at tip mitigates pre-existing defects mechanical strength. case, it shown introduces an intermediate response between reference behavior, does not take into consideration transformation-induced residual stresses, elastic integrates these stresses taking account only elasticity. interaction heterogeneities topology also highlighted.