14 citations · 69 across the 12 of their papers we have counts for
12 papers
Assorted remarks on bending measures and energies for plates and shells, and their invariance properties
J. A. Hanna, E. Vitral
In this note, we address several issues, including some raised in recent works and commentary, related to bending measures and energies for plates and shells, and certain of their…
Buckling mediated by mobile localized elastic excitations
R. S. Hutton, E. Vitral, E. Hamm +1
Experiments reveal that structural transitions in thin sheets are mediated by the passage of transient and stable mobile localized elastic excitations. These ``crumples'' or ``d-co…
Stretch formulations and the Poynting effect in nonlinear elasticity
Eduardo Vitral
The second invariant of the left Cauchy-Green deformation tensor (or right ) has been argued to play a fundamental role in nonlinear elasticity. Generalize…
Energies for elastic plates and shells from quadratic-stretch elasticity
E. Vitral, J. A. Hanna
We derive stretching and bending energies for isotropic elastic plates and shells. Through the dimensional reduction of a bulk elastic energy quadratic in Biot strains, we obtain t…
Nano-patterning of surfaces by ion sputtering: Numerical study of the anisotropic damped Kuramoto-Sivashinsky equation
E. Vitral, D. Walgraef, J. Pontes +2
Nonlinear models for pattern evolution by ion beam sputtering on a material surface present an ongoing opportunity for new numerical simulations. A numerical analysis of the evolut…
Quadratic-stretch elasticity
E. Vitral, J. A. Hanna
A nonlinear small-strain elastic theory is constructed from a systematic expansion in Biot strains, truncated at quadratic order. The primary motivation is the desire for a clean s…
Phase-field model for a weakly compressible soft layered material: morphological transitions on smectic-isotropic interfaces
Eduardo Vitral, Perry H. Leo, Jorge Viñals
A coupled phase-field and hydrodynamic model is introduced to describe a two-phase, weakly compressible smectic (layered phase) in contact with an isotropic fluid of different dens…
Stripe patterns orientation resulting from nonuniform forcings and other competitive effects in the Swift-Hohenberg dynamics
Daniel L. Coelho, Eduardo Vitral, José Pontes +1
Spatio-temporal pattern formation in complex systems presents rich nonlinear dynamics which leads to the emergence of periodic nonequilibrium structures. One of the most prominent…
Model of the dynamics of an interface between a smectic phase and an isotropic phase of different density
Eduardo Vitral, Perry H. Leo, Jorge Viñals
Soft modulated phases have been shown to undergo complex morphological transitions, in which layer remodeling induced by mean and Gaussian curvatures plays a major role. This is th…
Numerical scheme for solving the nonuniformly forced cubic and quintic Swift-Hohenberg equations strictly respecting the Lyapunov functional
D. L. Coelho, E. Vitral, J. Pontes +1
Computational modeling of pattern formation in nonequilibrium systems is a fundamental tool for studying complex phenomena in biology, chemistry, materials science and engineering.…
Spiral defect chaos in Rayleigh-Bénard convection: Asymptotic and numerical studies of azimuthal flows induced by rotating spirals
Eduardo Vitral, Saikat Mukherjee, Perry H. Leo +3
Rotating spiral patterns in Rayleigh-Bénard convection are known to induce azimuthal flows, which raises the question of how different neighboring spirals interact with each other…
Role of Gaussian curvature on local equilibrium and dynamics of smectic-isotropic interfaces
Eduardo Vitral, Perry H. Leo, Jorge Viñals
Recent research on interfacial instabilities of smectic films has shown unexpected morphologies that are not fully explained by classical local equilibrium thermodynamics. Annealin…