5 citations · 5 across the 2 of their papers we have counts for
7 papers
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…
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.,…