Cover Image

On the lack of compactness in the axisymmetric neo-Hookean model

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Barchiesi, Marco, Henao, Duvan, Mora-Corral, Carlos, Rodiac, Rémy
Format:	Preprint
Published:	2021
Subjects:	Analysis of PDEs 74B20, 49J45, 49Q20, 74G70, 74G65, 74G45, 74G22
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A relaxation approach to the minimisation of the neo-Hookean energy in 3D
by: Barchiesi, Marco, et al.
Published: (2023)

A Lavrentiev phenomenon in the neo-Hookean model
by: Barchiesi, Marco, et al.
Published: (2026)

Sobolev regularity of the inverse for minimizers of the neo-Hookean energy satisfying condition INV
by: Kalayanamit, Panas
Published: (2024)

Invertibility of Sobolev maps through approximate invertibility at the boundary and tangential polyconvexity
by: Mora-Corral, Carlos, et al.
Published: (2025)

On the hierarchy of plate models for a singularly perturbed multi-well nonlinear elastic energy
by: Tolotti, Edoardo Giovanni
Published: (2025)

Uniform concentration property for Griffith almost-minimizers
by: Labourie, Camille, et al.
Published: (2023)

Stability of the Von Kármán regime for thin plates under Neumann boundary conditions
by: Tolotti, Edoardo Giovanni
Published: (2024)

Hausdorff dimension of the singular set for Griffith almost-minimizers in the plane
by: Friedrich, Manuel, et al.
Published: (2025)

An epsilon-regularity result for Griffith almost-minimizers in the plane
by: Friedrich, Manuel, et al.
Published: (2023)

Compactness for $GSBV^p$ via concentration-compactness
by: Feldman, William M, et al.
Published: (2025)

Linearization of quasistatic fracture evolution in brittle materials
by: Friedrich, Manuel, et al.
Published: (2024)

Strong existence for free discontinuity problems in linear elasticity
by: Friedrich, Manuel, et al.
Published: (2024)

Homogenization of elasto-plastic plate equations with vanishing hardening
by: Bužančić, Marin, et al.
Published: (2025)

Solutions for a free-boundary problem modeling multilayer films with coherent and incoherent interfaces
by: Llerena, Randy, et al.
Published: (2024)

Asymptotic analysis for heterogeneous elastic energies with material voids
by: Almi, Stefano, et al.
Published: (2026)

Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation
by: Marziani, Roberta, et al.
Published: (2022)

Derivation of variational membrane models in the context of anisotropic nonlocal hyperelasticity
by: Engl, Dominik, et al.
Published: (2026)

Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms
by: Maso, Gianni Dal, et al.
Published: (2024)

Nonlocal-to-local limit in linearized viscoelasticity
by: Friedrich, Manuel, et al.
Published: (2024)

Soap films: from the Plateau problem to deformable boundaries
by: Bevilacqua, Giulia, et al.
Published: (2024)

Characterization of polyconvex isotropic functions
by: Wiedemann, David, et al.
Published: (2023)

Effects of surface tension and elasticity on critical points of the Kirchhoff-Plateau problem
by: Bevilacqua, Giulia, et al.
Published: (2023)

Neural Network Enhanced Polyconvexification of Isotropic Energy Densities in Computational Mechanics
by: Balazi, Loïc, et al.
Published: (2025)

Discrete-to-continuum linearization in atomistic dynamics
by: Friedrich, Manuel, et al.
Published: (2023)

Mathematical analysis of a mesoscale model for multiphase membranes
by: Fuchs, Jakob, et al.
Published: (2024)

Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials
by: Friedrich, Manuel, et al.
Published: (2024)

Singular perturbations models in phase transitions for anisotropic higher-order materials
by: Brusca, Giuseppe Cosma, et al.
Published: (2025)

A scaling law for a model of epitaxially strained elastic films with dislocations
by: Abel, Lukas, et al.
Published: (2024)

Non-interpenetration of rods derived by $Γ$-limits
by: Benešová, Barbora, et al.
Published: (2024)

Upper bounds for the homogenization problem in nonlinear elasticity: the incompressible case
by: Ruf, Matthias, et al.
Published: (2024)

Uniform rectifiability of brittle fractures in linear elasticity
by: Labourie, Camille
Published: (2026)

Homogenization of high-contrast media in finite-strain elastoplasticity
by: Davoli, Elisa, et al.
Published: (2023)

Incompleteness of Sinclair-type continuum flexible boundary conditions for atomistic fracture simulations
by: Braun, Julian, et al.
Published: (2024)

An existence result for accretive growth in elastic solids
by: Davoli, Elisa, et al.
Published: (2024)

Linearization of finite elasticity with surface tension
by: Kružík, Martin, et al.
Published: (2023)

Generalized Clapeyron's theorem
by: Grabovsky, Yury, et al.
Published: (2025)

Derivation of the Reissner-Mindlin model from nonlinear elasticity
by: Fastovska, Tamara, et al.
Published: (2025)

Dimension reduction for a coupled electro-elastic saddle-point problem at finite strains
by: Buryachenko, Kateryna, et al.
Published: (2025)

$Γ$-convergence and stochastic homogenization of second order singular perturbation models for phase transitions
by: Donnarumma, Antonio Flavio
Published: (2024)

A note on the recovery sequence in the double gradient model for phase transitions
by: Deutsch, Jakob
Published: (2025)