Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: extension to nearly incompressible implicit and explicit elastodynamics in finite strains
From MaRDI portal
Publication:6499867
DOI10.1002/NME.6042MaRDI QIDQ6499867
Publication date: 10 May 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Basic methods in fluid mechanics (76Mxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for 3D static and dynamic problems
- Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
- Fifteen node tetrahedral elements for explicit methods in nonlinear solid dynamics
- Isogeometric shell analysis: the Reissner-Mindlin shell
- Mixed stabilized finite element methods in nonlinear solid mechanics. I: Formulation
- Mixed stabilized finite element methods in nonlinear solid mechanics. II: Strain localization
- Explicit algorithms for the nonlinear dynamics of shells
- A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation
- Computational inelasticity
- Higher order stabilized finite element method for hyperelastic finite deformation
- Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
- Mixed linear/linear simplicial elements for incompressible elasticity and plasticity.
- A stabilised Petrov-Galerkin formulation for linear tetrahedral elements in compressible, nearly incompressible and truly incompressible fast dynamics
- Mixed stabilized finite element methods in nonlinear solid mechanics. III: compressible and incompressible plasticity
- A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation
- Implicit finite incompressible elastodynamics with linear finite elements: a stabilized method in rate form
- A velocity/stress mixed stabilized nodal finite element for elastodynamics: analysis and computations with strongly and weakly enforced boundary conditions
- Subdivision based mixed methods for isogeometric analysis of linear and nonlinear nearly incompressible materials
- A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach
- The inf-sup test
- A stabilized nodally integrated tetrahedral
- A Stabilized Mixed Finite Element Method for Nearly Incompressible Elasticity
- An explicit discontinuous Galerkin method for non-linear solid dynamics: Formulation, parallel implementation and scalability properties
- Mixed and Hybrid Finite Element Methods
- Triangles and tetrahedra in explicit dynamic codes for solids
- A new stabilization technique for finite elements in non-linear elasticity
- A new family of explicit time integration methods for linear and non‐linear structural dynamics
- Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes
- Isogeometric Analysis
- Mean‐strain 10‐node tetrahedron with energy‐sampling stabilization
- Local Mass-Corrections for Continuous Pressure Approximations of Incompressible Flow
- F‐bar‐based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: formulation and benchmarking
- Stabilized finite element method for viscoplastic flow: Formulation and a simple progressive solution strategy
This page was built for publication: Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: extension to nearly incompressible implicit and explicit elastodynamics in finite strains