5 papers
Gamma-convergence results for nematic elastomer bilayers: relaxation and actuation
Pierluigi Cesana, Andres A Leon Baldelli
We compute effective energies of thin bilayer structures composed by soft nematic elastic-liquid crystals in various geometrical regimes and functional configurations. Our focus is…
Discrete-to-continuum limits of planar disclinations
Pierluigi Cesana, Patrick van Meurs
In materials science, wedge disclinations are defects caused by angular mismatches in the crystallographic lattice. To describe such disclinations, we introduce an atomistic model…
Exact constructions in the (non-linear) planar theory of elasticity: From elastic crystals to nematic elastomers
Pierluigi Cesana, Francesco Della Porta, Angkana Rüland +2
In this article we deduce necessary and sufficient conditions for the presence of `Conti-type', highly symmetric, exactly-stress free constructions in the geometrically non-linear,…
A probabilistic model for interfaces in a martensitic phase transition
Pierluigi Cesana, Ben Hambly
We analyse features of the patterns formed from a simple model for a martensitic phase transition. This is a fragmentation model that can be encoded by a general branching random w…
Variational modelling of nematic elastomer foundations
Pierluigi Cesana, Andrés A. León Baldelli
We compute the -limit of energy functionals describing mechanical systems composed of a thin nematic liquid crystal elastomer sustaining a homogeneous and isotropic elastic memb…