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.

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Keywords Elastic domain engineering, Ferroelectric thin films, Phase-field modeling, Self-assembling nanocomposites
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Artemev, A. (2019). Phase-field modeling for elastic domain engineering applications. In Nanostructures in Ferroelectric Films for Energy Applications: Domains, Grains, Interfaces and Engineering Methods (pp. 91–127). doi:10.1016/B978-0-12-813856-4.00004-1