Computational study of (111) epitaxially strained ferroelectric perovskitesBaTiO3andPbTiO3

Regularity Properties of Equilibrium Configurations of Epitaxially Strained Elastic Films

We consider a variational model introduced in the physical literature to describe the epitaxial growth of an elastic film over a rigid substrate, when a lattice mismatch between the two materials is present. We establish the regularity of volume constrained local minimizers of the total energy, proving in particular the so called zero contact-angle condition between the film and the substrate.

Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films

Giant magnetocapacitance of strained ferroelectric-ferromagnetic hybrids

A Model for Dislocations in Epitaxially Strained Elastic Films

A variational model for epitaxially strained films accounting for the presence of dislocations is considered. Existence, regularity and some qualitative properties of solutions are addressed.

Scaling Law and Reduced Models for Epitaxially Strained Crystalline Films

A variational model for the epitaxial deposition of a film on a rigid substrate in the presence of a crystallographic misfit is studied. The scaling behavior of the minimal energy in terms of the volume of the film and the amplitude of the misfit is considered, and reduced models in the various regimes are derived by Γ-convergence methods. Depending on the relation between the thickness of the ...