A geometric structure-preserving discretization scheme for incompressible linearized elasticity
From MaRDI portal
Publication:2449918
DOI10.1016/j.cma.2013.03.004zbMath1286.74017OpenAlexW2021449911MaRDI QIDQ2449918
Arash Yavari, Arzhang Angoshtari
Publication date: 13 May 2014
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.2013.03.004
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Equations linearized about a deformed state (small deformations superposed on large) (74B15)
Related Items
A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid, A mixed method for 3D nonlinear elasticity using finite element exterior calculus, Intrinsic nonlinear elasticity: an exterior calculus formulation, Quasi-quadratic elements for nonlinear compressible and incompressible elasticity, A family of effective structure-preserving schemes with second-order accuracy for the undamped sine-Gordon equation, Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Locking-free numerical methods for nearly incompressible elasticity and incompressible flow on moving domains
- A geometric theory of growth mechanics
- Structure-preserving discretization of incompressible fluids
- The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations
- Stability and a posteriori error analysis of discontinuous Galerkin methods for linearized elasticity
- Maximum-entropy meshfree method for compressible and near-incompressible elasticity
- Discontinuous Galerkin finite element methods for incompressible nonlinear elasticity
- A fully ``locking-free isogeometric approach for plane linear elasticity problems: a stream function formulation
- Second-order locking-free nonconforming elements for planar linear elasticity
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Covariance in linearized elasticity
- A dual-mixed finite element method for nonlinear incompressible elasticity with mixed boundary conditions
- Manifolds, tensor analysis, and applications.
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
- Analytical and computational assessment of locking in the \(hp\) finite element method
- Mixed linear/linear simplicial elements for incompressible elasticity and plasticity.
- Theory and practice of finite elements.
- Riemann-Cartan geometry of nonlinear dislocation mechanics
- A finite volume method for incompressible linear elasticity
- An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity
- On the geometric character of stress in continuum mechanics
- Groups of diffeomorphisms and the motion of an incompressible fluid
- A family of discontinuous Galerkin mixed methods for nearly and perfectly incompressible elasticity
- Introduction to Topological Manifolds
- Well-Centered Triangulation
- An unshellable triangulation of a tetrahedron
- DIRECT COMPUTATION OF STRESSES IN PLANAR LINEARIZED ELASTICITY
- On geometric discretization of elasticity
- Finite element exterior calculus: from Hodge theory to numerical stability
- Diamond elements: a finite element/discrete-mechanics approximation scheme with guaranteed optimal convergence in incompressible elasticity
- Locking-free continuum displacement finite elements with nodal integration
- Stabilized four-node tetrahedron with nonlocal pressure for modeling hyperelastic materials
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
- Nonconforming Finite Element Methods for the Equations of Linear Elasticity
- On Locking and Robustness in the Finite Element Method
- Element‐free Galerkin methods
- Plane deformations of elastic solids with intrinsic boundary elasticity
- Locking in the incompressible limit: pseudo‐divergence‐free element free Galerkin
- Locking-free DGFEM for elasticity problems in polygons
- Electromagnetic Theory and Computation
- Upper and Lower Bounds on the Dimension of Multivariate Spline Spaces
- Volumetric locking in the element free Galerkin method
- Riemann–Cartan geometry of nonlinear disclination mechanics
- A class of mixed assumed strain methods and the method of incompatible modes
- Weyl geometry and the nonlinear mechanics of distributed point defects
- Elementary Differential Topology. (AM-54)
