Phase-field method is a density-based computational method at the mesoscale for modeling
and predicting the temporal microstructure and property evolution during materials …

Abstract The Doyle–Fuller–Newman (DFN) framework is the most popular physics-based
continuum-level description of the chemical and dynamical internal processes within …

Beam-based additive manufacturing (AM) of metallic components is characterized by
extreme process conditions. The component forms in a line-by-line and layer-by-layer …

The phase-field method is reviewed against its historical and theoretical background.
Starting from Van der Waals considerations on the structure of interfaces in materials the …

A continuum field theory approach is presented for modeling elastic and plastic deformation,
free surfaces, and multiple crystal orientations in nonequilibrium processing phenomena …

Aluminium is an important metal in manufacturing, due to its versatile properties and the
many applications of both the processed metal and its alloys in different industries …

New perspectives on the phase field approach in modeling deformation and fracture at the
fundamental defect level are reviewed. When applied at sub-angstrom length scales the …

A new model for the evolution of the precipitate structure derived by means of application of
the thermodynamic extremum principle is presented. The model describes the evolution of …

A general continuum theory is developed for ion intercalation dynamics in a single crystal of
rechargeable-battery composite electrode material. It is based on an existing phase-field …

In an ideal scenario, a phase field model is able to compute quantitative aspects of the
evolution of microstructure without explicit intervention. The method is particularly appealing …