Microscopic Validation of a Variational Model of Epitaxially Strained Crystalline Films

Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films

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 ...

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.

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.

Equilibrium configurations of epitaxially strained crystalline films: existence and regularity results

Strained epitaxial films grown on a relatively thick substrate are considered in the context of plane linear elasticity. The total free energy of the system is assumed to be the sum of the energy of the free surface of the film and the strain energy. Because of the lattice mismatch between film and substrate, flat configurations are in general energetically unfavourable and a corrugated or isla...