Generalized Multiscale Finite Element Treatment of a Heterogeneous Nonlinear Strain-limiting Elastic Model
From MaRDI portal
Publication:6190940
DOI10.1137/22m1514179OpenAlexW4391574083MaRDI QIDQ6190940
No author found.
Publication date: 6 March 2024
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/22m1514179
nonlinear elasticityheterogeneityperforated domaingeneralized multiscale finite element methodcrack-tip fieldsstrain-limiting model
Nonlinear elasticity (74B20) Brittle fracture (74R10) Spectral theory and eigenvalue problems for partial differential equations (35P99) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mixed GMsFEM for second order elliptic problem in perforated domains
- A generalized multiscale finite element method for elastic wave propagation in fractured media
- Topology optimization for minimum stress design with the homogenization method
- Generalized multiscale finite element method for elasticity equations
- On elastic solids with limiting small strain: modelling and analysis
- Multiscale finite-element method for linear elastic geomechanics
- Automated solution of differential equations by the finite element method. The FEniCS book
- An adaptive GMsFEM for high-contrast flow problems
- Existence of solutions for the anti-plane stress for a new class of ``strain-limiting elastic bodies
- Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity
- Large deformations near a tip of an interface-crack between two Neo- Hookean sheets
- On implicit constitutive theories.
- A generalized multiscale finite element method for poroelasticity problems. I: Linear problems.
- A generalized multiscale finite element method for poroelasticity problems. II: Nonlinear coupling.
- A continuum theory of elastic material surfaces
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Reformulation of elasticity theory for discontinuities and long-range forces
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth
- On the nonlinear elastic response of bodies in the small strain range
- Preconditioning Markov chain Monte Carlo method for geomechanical subsidence using multiscale method and machine learning technique
- Finite element simulation of quasi-static tensile fracture In nonlinear strain-limiting solids with the phase-field approach
- Finite element model for a coupled thermo-mechanical system in nonlinear strain-limiting thermoelastic body
- Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries
- Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model
- Implicit constitutive models with a thermodynamic basis: a study of stress concentration
- On monotonicity for strain-limiting theories of elasticity
- The elasticity of elasticity
- The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies
- Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using non-local multi-continuum method (NLMC)
- A generalized multiscale finite element method (GMsFEM) for perforated domain flows with Robin boundary conditions
- Computational modeling of circular crack-tip fields under tensile loading in a strain-limiting elastic solid
- Generalized multiscale finite element methods for problems in perforated heterogeneous domains
- Non-Linear Elastic Bodies Exhibiting Limiting Small Strain
- Conspectus of concepts of elasticity
- Analysis and approximation of a strain-limiting nonlinear elastic model
- Contacting crack faces within the context of bodies exhibiting limiting strains
- A New Approach to the Modeling and Analysis of Fracture through Extension of Continuum Mechanics to the Nanoscale
- A Theory of Fracture Based Upon an Extension of Continuum Mechanics to the Nanoscale
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Multiscale Finite Element Methods
- On a class of non-dissipative materials that are not hyperelastic
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Homogenization and Two-Scale Convergence
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- Modeling of a Curvilinear Planar Crack with a Curvature-Dependent Surface Tension
- On strong ellipticity for implicit and strain-limiting theories of elasticity
- Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains
- Nonlinear elasticity with limiting small strain for cracks subject to non-penetration
- Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems
- On the response of non-dissipative solids
- A Multiscale Finite Element Method for Numerical Homogenization
- Finite element approximation of a strain-limiting elastic model
- A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies
