13 citations · 34 across the 12 of their papers we have counts for
15 papers
Solutions for a free-boundary problem modeling multilayer films with coherent and incoherent interfaces
Randy Llerena, Paolo Piovano
In this paper we introduce a variational model for the study of multilayer films that allows for the treatment of both coherent and incoherent interfaces between layers. The model…
Existence of minimizers for a two-phase free boundary problem with coherent and incoherent interfaces
Randy Llerena, Paolo Piovano
A variational model for describing the morphology of two-phase continua by allowing for the interplay between coherent and incoherent interfaces is introduced. Coherent interfaces…
Evolution of crystalline thin films by evaporation and condensation in three dimensions
Paolo Piovano, Francesco Sapio
The morphology of crystalline thin films evolving on flat rigid substrates by condensation of extra film atoms or by evaporation of their own atoms in the surrounding vapor is stud…
Existence of minimizers for the SDRI model in : Wetting and dewetting regimes with mismatch strain
Shokhrukh Kholmatov, Paolo Piovano
The existence and the regularity results obtained in [37] for the variational model introduced in [36] to study the optimal shape of crystalline materials in the setting of stress-…
Microscopical Justification of the Winterbottom problem for well-separated Lattices
Paolo Piovano, Igor Velčić
We consider the discrete atomistic setting introduced in \cite{PiVe1} to microscopically justify the continuum model related to the \emph{Winterbottom problem}, i.e., the problem o…
Microscopical justification of Solid-State Wetting and Dewetting
Paolo Piovano, Igor Velčić
The continuum model related to the Winterbottom problem, i.e., the problem of determining the equilibrium shape of crystalline drops resting on a substrate, is derived in dimension…
Existence of minimizers for the SDRI model in 2d: wetting and dewetting regime with mismatch strain
Shokhrukh Yu. Kholmatov, Paolo Piovano
The model introduced in [Kholmatov-Piovano 2020] in the framework of the theory on Stress-Driven Rearrangement Instabilities (SDRI) [Asaro-Tiller 1972; Grinfeld 1993} for the morph…
Magnetoelastic thin films at large strains
Elisa Davoli, Martin Kružík, Paolo Piovano +1
Starting from the three-dimensional setting, we derive a limit model of a thin magnetoelastic film by means of Γ-convergence techniques. As magnetization vectors are defined on the…
Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review
Manuel Friedrich, Edoardo Mainini, Paolo Piovano
Carbon nanotubes are modeled as point particle configurations in the framework of Molecular Mechanics, where interactions are described by means of short range attractive-repulsive…
Microscopic validation of a variational model of epitaxially strained crystalline film
Leonard Kreutz, Paolo Piovano
A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by -convergence. The discrete model here introduced…
A unified model for stress-driven rearrangement instabilities
Shokhrukh Yu. Kholmatov, Paolo Piovano
A variational model to simultaneously treat Stress-Driven Rearrangement Instabilities, such as boundary discontinuities, internal cracks, external filaments, edge delamination, wet…
Analytical validation of the Yound-Dupré law for epitaxially-strained thin films
Elisa Davoli, Paolo Piovano
We present here an analysis of the regularity of minimizers of a variational model for epitaxially strained thin-films identified by the authors in the companion paper [Davoli E.,…
Derivation of a heteroepitaxial thin-film model
Elisa Davoli, Paolo Piovano
A variational model for epitaxially-strained thin films on rigid substrates is derived both by Γ-convergence from a transition-layer setting, and by relaxation from a sharp-interfa…
Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule
Manuel Friedrich, Edoardo Mainini, Paolo Piovano +1
Carbon nanotubes are modeled as point configurations and investigated by minimizing configurational energies including two-and three-body interactions. Optimal configurations are i…
The geometry of C_60: a rigorous approach via Molecular Mechanics
Manuel Friedrich, Paolo Piovano, Ulisse Stefanelli
Molecular Mechanics describes molecules as particle configurations interacting via classical potentials. These {\it configurational energies} usually consist of the sum of differen…