Stress-hybrid virtual element method on quadrilateral meshes for compressible and nearly-incompressible linear elasticity
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Publication:6569904
DOI10.1002/nme.7384MaRDI QIDQ6569904
Publication date: 9 July 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
volumetric lockingshear lockingHellinger-Reissner variational principlecomplementary strain energynonconvex quadrilateralstabilization-free virtual element method
Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elastic materials (74Bxx)
Related Items (3)
Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity ⋮ Axisymmetric virtual elements for problems of elasticity and plasticity ⋮ The virtual element method for a contact problem with wear and unilateral constraint
Cites Work
- Unnamed Item
- Equivalent projectors for virtual element methods
- 8- and 12-node plane hybrid stress-function elements immune to severely distorted mesh containing elements with concave shapes
- Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods
- On a stress resultant geometrically exact shell model. II: The linear theory; computational aspects
- Development and testing of stable, invariant, isoparametric curvilinear 2- and 3-D hybrid-stress elements
- On the existence and stability conditions for mixed-hybrid finite element solutions based on Reissner's variational principle
- Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems
- Complementary mixed finite element formulations for elastoplasticity
- A mixed virtual element method for a pseudostress-based formulation of linear elasticity
- Limitation principles for mixed finite elements based on the Hu-Washizu variational formulation
- A unified analysis for stress/strain hybrid methods of high performance.
- A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle
- An enhanced VEM formulation for plane elasticity
- Unlocking the secrets of locking: finite element analysis in planar linear elasticity
- A hybrid finite element formulation for large-deformation contact mechanics
- Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries
- Stabilization-free serendipity virtual element method for plane elasticity
- Virtual Elements for Linear Elasticity Problems
- Rational approach for assumed stress finite elements
- Stress and strain-driven algorithmic formulations for finite strain viscoplasticity for hybrid and standard finite elements
- On the Variational Foundations of Assumed Strain Methods
- Relations between incompatible displacement model and hybrid stress model
- A different view of the assumed stress hybrid method
- A new efficient approach to the formulation of mixed finite element models for structural analysis
- A rational approach for choosing stress terms for hybrid finite element formulations
- Improved hybrid-stress axisymmetric elements includng behaviour for nearly incompressible materials
- EQUIVALENCE BETWEEN ENHANCED ASSUMED STRAIN METHOD AND ASSUMED STRESS HYBRID METHOD BASED ON THE HELLINGER-REISSNER PRINCIPLE
- Optimization of stress modes by energy compatibility for 4-node hybrid quadrilaterals
- A quadrilateral mixed finite element with two enhanced strain modes
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A dual hybrid virtual element method for plane elasticity problems
- Hybridization of the virtual element method for linear elasticity problems
- The Hitchhiker's Guide to the Virtual Element Method
- A class of mixed assumed strain methods and the method of incompatible modes
- Non-linear analysis of structures using high performance hybrid elements
- Accurate 4‐node quadrilateral elements with a new version of energy‐compatible stress mode
- A Hu-Washizu variational approach to self-stabilized virtual elements: 2D linear elastostatics
- Mixed virtual element formulations for incompressible and inextensible problems
- Stabilization-free virtual element method for plane elasticity
- B-bar virtual element method for nearly incompressible and compressible materials
- A monolithic hybrid finite element strategy for nonlinear thermoelasticity
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