A locking-free FEM for cavitation computation in nearly incompressible nonlinear elasticity
DOI10.1016/j.cam.2018.12.019zbMath1432.74206OpenAlexW2905631233MaRDI QIDQ2423507
Publication date: 20 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.12.019
gradient flowcavitationlocking-freeiso-parametric biquadratic finite elementnearly incompressible nonlinear elasticityreduced/selective quadrature
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (1)
Cites Work
- Unnamed Item
- A consistent control of spurious singular modes in the 9-node Lagrange element for the Laplace and Mindlin plate equations
- A dual-parametric finite element method for cavitation in nonlinear elasticity
- Cavitation, invertibility, and convergence of regularized minimizers in nonlinear elasticity
- Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
- Locking effects in the finite element approximation of elasticity problems
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- The numerical computation of singular minimizers in two-dimensional elasticity
- Design of simple low order finite elements for large strain analysis of nearly incompressible solids
- On cavitation, configurational forces and implications for fracture in a nonlinearly elastic material
- A hybridizable discontinuous Galerkin formulation for non-linear elasticity
- A meshing strategy for a quadratic iso-parametric FEM in cavitation computation in nonlinear elasticity
- Selective and reduced numerical integrations for NURBS-based isogeometric analysis
- A paradigm for higher-order polygonal elements in finite elasticity using a gradient correction scheme
- \(\Gamma\)-convergence approximation of fracture and cavitation in nonlinear elasticity
- A numerical study of void coalescence and fracture in nonlinear elasticity
- \(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements
- A NUMERICAL STUDY ON CAVITATION IN NONLINEAR ELASTICITY — DEFECTS AND CONFIGURATIONAL FORCES
- AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY
- On variational formulation and its modifications for numerical solution
- Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
- Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements
- Linear Finite Element Methods for Planar Linear Elasticity
- A finite element method for nearly incompressible elasticity problems
- Locking Effects in the Finite Element Approximation of Plate Models
- Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity
- A minimal stabilisation procedure for mixed finite element methods
This page was built for publication: A locking-free FEM for cavitation computation in nearly incompressible nonlinear elasticity
