Phase-field modeling for elastic domain engineering applications

In this chapter the phase-field modeling (PFM) for the design of elastically engineered domain structures is reviewed. Brief descriptions of main components of the phase-field models are presented. The review of the results covers the following main areas: (1) The application of PFM for the development of domain structure maps and phase stability maps for compositionally homogenous ferroelectric and ferroelastic films on constraining substrates. (2) The application of PFM for the modeling of the functional response in ferroelectric films. (3) The application of PFM for the simulation of the self-assembling nanocomposites. (4) The application of PFM for the simulation of domain structures and functional responses in ferroelectric nanocomposites

Phase Field Methods

International audienceThis article reviews the principles and applications of the phase field technique for modeling phase transformations and microstructural evolutions, with an emphasis on solid-solid transformations. Conventional phase field models, which rely on phenomenological thermodynamic and kinetic descriptions, are first presented and examples of application are discussed. Then, applications of the phase field method to phenomena induced by irradiation are reviewed, including radiation-enhanced and radiation-induced segregation and precipitation on sinks such as grain boundaries, dislocation and dislocation loops, the dynamical stabilization of compositional patterns and void lattices and the disordering of ordered precipitates