35 citations · 59 across the 12 of their papers we have counts for
14 papers
Equilibrium and Interaction Regimes in Mixed Disclination-Dislocation Systems
Pierluigi Cesana, Marco Morandotti, Aldo Sambo
We investigate equilibrium configurations and dissipative dynamics of simplified disclination--dislocation systems in planar elasticity. We consider an edge dislocation interacting…
Effective Dynamics of Disclination Pairs
Nicolò Briatico, Pierluigi Cesana, Marco Morandotti
The dissipative dynamics of a pair of wedge disclinations with opposite Frank angles confined to a circular domain is investigated under the assumption of radially symmetric motion…
Anomaly prediction in XRP price with topological features
Illia Donhauzer, Pierluigi Cesana, Tomoyuki Shirai +1
The aim of this research is to study XRP cryptoasset price dynamics, with a particular focus on forecasting atypical price movements. Recent studies suggest that topological proper…
Space-time evolution of Volterra disclinations
Pierluigi Cesana, Alfio Grillo, Marco Morandotti +1
The dynamics of a system of particles subject to a 4th order potential field modeling the space-time evolution of wedge disclinations is studied, focusing on finite systems of disc…
Variational Solvers for Irreversible Evolutionary Systems
Andrés A León Baldelli, Pierluigi Cesana
We study irreversible evolutionary processes with a general energetic notion of stability. We dedicate this contribution to releasing three nonlinear variational solvers as modular…
Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method
Pierluigi Cesana, Lucia De Luca, Marco Morandotti
We present a variational theory for lattice defects of rotational and translational type. We focus on finite systems of planar wedge disclinations, disclination dipoles, and edge d…
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…
Modeling and analysis of water-hammer in coaxial pipes
Pierluigi Cesana, Neal Bitter
The fluid-structure interaction is studied for a system composed of two coaxial pipes in an annular geometry, for both homogeneous isotropic metal pipes and fiber-reinforced (aniso…
Asymptotic analysis of hierarchical martensitic microstructure
Pierluigi Cesana, Marcel Porta, Turab Lookman
We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly co…
Effective behavior of nematic elastomer membranes
Pierluigi Cesana, Paul Plucinsky, Kaushik Bhattacharya
We derive the effective energy density of thin membranes of liquid crystal elastomers as the Gamma-limit of a widely used bulk model. These membranes can display fine-scale feature…