Three different topics in phase-field modelling of solidification are discussed, with particular emphasis on the limitations of the currently available modelling approaches. First, thin-interface limits of two-sided phasefield models are examined, and it is shown that the antitrapping current is in general not sufficient to remove all thin-interface effects. Second, orientation-field models for...

Phase field modelling has proven to be a versatile tool for simulating microstructural evolution phenomena, such as grain growth in polycrystalline materials. However, the computational requirements of a phase field model impose strong limitations on the number of phase field variables employed in a practical implementation. In this paper, a bounding box algorithm is proposed allowing the use o...

Herein, a unified phase-field formulation of fracture in viscoelastic materials is presented. The model characterised by pseudo-energy functional from which the governing equations for and viscous internal variables are derived. Depending on specific choice parameters, has flexibility capturing coupling between mechanisms fracture. By means numerical study, different assumptions compared.