Cover Image

Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Marziani, Roberta, Solombrino, Francesco
Format:	Preprint
Published:	2022
Subjects:	Analysis of PDEs Functional Analysis 49J45, 49Q20, 74Q05, 74R10, 70G75
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

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

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

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

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

A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation
by: Maso, Gianni Dal, et al.
Published: (2025)

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

Surfactants in a Non-local Model for Phase Transitions
by: Cicalese, Marco, et al.
Published: (2024)

On the lack of compactness in the axisymmetric neo-Hookean model
by: Barchiesi, Marco, et al.
Published: (2021)

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

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

Stochastic homogenisation of nonlinear minimum-cost flow problems
by: Gladbach, Peter, et al.
Published: (2024)

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

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

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

$Γ$-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)

Linearization and Homogenization of nonlinear elasticity close to stress-free joints
by: Neukamm, Stefan, et al.
Published: (2024)

On the relaxation of polyconvex functionals with linear growth under strict convergence in $BV$
by: Scala, Riccardo
Published: (2025)

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

Surfactants in the Two Gradient Theory of Phase Transitions
by: Cicalese, Marco, et al.
Published: (2024)

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

Critical points of the one dimensional Ambrosio-Tortorelli functional with an obstacle condition
by: Rakovsky, Martin
Published: (2024)

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

Shape optimization involving the Tresca friction law in a 2D linear elastic model
by: Bourdin, Loïc, et al.
Published: (2024)

The biharmonic optimal support problem
by: Lemenant, Antoine, et al.
Published: (2024)

A homogenization result in finite plasticity
by: Davoli, Elisa, et al.
Published: (2022)

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)

Elastic membranes spanning deformable boundaries
by: Ballarin, Francesco, et al.
Published: (2022)

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

Multiscale analysis and homogenization of nonlocal thin films
by: Ansini, Nadia, et al.
Published: (2026)

(Two-scale) $W^{1}L^Φ$-gradient Young measures and homogenization of integral functionals in Orlicz-Sobolev spaces
by: Tachago, Joel Fotso, et al.
Published: (2024)

Dimension reduction for elastoplastic rods in the bending regime
by: Neukamm, Stefan, et al.
Published: (2024)

$Γ$-convergence involving nonlocal gradients with varying horizon: Recovery of local and fractional models
by: Cueto, Javier, et al.
Published: (2024)

Wrinkling in the Lamé problem: a $Γ$-convergence approach
by: Marziani, Roberta
Published: (2026)

Fluid-Structure interactions with Navier- and full-slip boundary conditions
by: Češík, Antonín, et al.
Published: (2026)

Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs
by: Portinale, Lorenzo, et al.
Published: (2023)