Cover Image

Local boundary conditions in nonlocal hyperelasticity via heterogeneous horizons

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kreisbeck, Carolin, Schönberger, Hidde
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs Functional Analysis 35R11, 46E35, 49J45 (Primary) 47G30, 74A70, 74G65 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems
by: Kreisbeck, Carolin, et al.
Published: (2024)

Nonlocal gradients: Fundamental theorem of calculus, Poincaré inequalities and embeddings
by: Bellido, José Carlos, et al.
Published: (2024)

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

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

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

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

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

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

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

A local variational principle for fracture
by: Larsen, Christopher J.
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)

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

Dimension reduction of fractional Sobolev seminorms on thin domains
by: Braides, Andrea, 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)

Homogenization of nonlocal exchange energies in micromagnetics
by: Giorgio, Rossella, et al.
Published: (2025)

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

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

A global higher regularity result for the static relaxed micromorphic model on smooth domains
by: Knees, Dorothee, et al.
Published: (2023)

Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications
by: Han, Zhaolong, et al.
Published: (2022)

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

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

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

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

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

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

A spectral method for dispersive solutions of the nonlocal Sine-Gordon equation
by: Coclite, A., et al.
Published: (2024)

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

Models of dynamic damage and phase-field fracture, and their various time discretisations
by: Roubíček, Tomáš
Published: (2019)

$H$-compactness for nonlocal linear operators in fractional divergence form
by: Caponi, Maicol, et al.
Published: (2024)

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

Recent developments on elliptic equations from composites
by: Dong, Hongjie, et al.
Published: (2026)

Gradient estimates for the conductivity problem with imperfect bonding interfaces
by: Dong, Hongjie, et al.
Published: (2024)

Gradient estimates for the insulated conductivity problem with partially flat inclusions
by: Dong, Hongjie, et al.
Published: (2025)

Higher regularity in nonlocal free boundary problems
by: Barrios, Begoña, et al.
Published: (2025)

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

Analysis for non-local phase transitions close to the critical exponent $s=\frac12$
by: Picerni, Marco
Published: (2025)

A convergence result for the derivation of front propagation in nonlocal phase field models
by: Patrizi, Stefania, et al.
Published: (2024)