A hybridizable discontinuous Galerkin formulation for non-linear elasticity
DOI10.1016/j.cma.2014.08.012zbMath1423.74895OpenAlexW2015515774MaRDI QIDQ1669317
Bernardo Cockburn, Adrian J. Lew, Hardik Kabaria
Publication date: 30 August 2018
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2014.08.012
stabilizationcavitationnon-convergencenon-linear elasticitylarge shear deformationshybridized discontinuous Galerkin
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Sensitivity analysis for optimization problems on manifolds (49Q12)
Related Items (39)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
- High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
- A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate
- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- A nonlinear Korn inequality with boundary conditions and its relation to the existence of minimizers in nonlinear elasticity
- An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations
- Stability and convergence proofs for a discontinuous-Galerkin-based extended finite element method for fracture mechanics
- A discontinuous Galerkin formulation for classical and gradient plasticity. II: Algorithms and numerical analysis
- A discontinuous Galerkin formulation for classical and gradient plasticity. I: Formulation and analysis
- Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
- Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
- Discontinuous Galerkin methods for incompressible elastic materials
- A new discontinuous Galerkin method for Kirchhoff-Love shells
- Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: analytical estimates
- Superconvergent HDG methods for linear elasticity with weakly symmetric stresses
- A NUMERICAL STUDY ON CAVITATION IN NONLINEAR ELASTICITY — DEFECTS AND CONFIGURATIONAL FORCES
- Analysis of an HDG method for linear elasticity
- AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY
- Some Open Problems in Elasticity
- Analysis of HDG methods for Stokes flow
- Discontinuous Galerkin methods for non-linear elasticity
- An optimally convergent discontinuous Galerkin-based extended finite element method for fracture mechanics
- The embedded discontinuous Galerkin method: application to linear shell problems
- Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods
- An explicit discontinuous Galerkin method for non-linear solid dynamics: Formulation, parallel implementation and scalability properties
- Compact embeddings of broken Sobolev spaces and applications
- A hybridizable discontinuous Galerkin method for linear elasticity
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Locking‐Free Optimal Discontinuous Galerkin Methods for Timoshenko Beams
- A general discontinuous Galerkin method for finite hyperelasticity. Formulation and numerical applications
- Direct methods in the calculus of variations
This page was built for publication: A hybridizable discontinuous Galerkin formulation for non-linear elasticity