Volume-averaged nodal projection method for nearly-incompressible elasticity using meshfree and bubble basis functions
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Publication:1798572
DOI10.1016/j.cma.2014.11.018zbMath1423.74911OpenAlexW2014497107MaRDI QIDQ1798572
A. Ortiz-Bernardin, Christian J. Cyron, Jack S. Hale
Publication date: 23 October 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.2014.11.018
bubble functionsprojection methodsvolumetric lockingmeshfree methodsnearly-incompressible elasticityvolume-averaged pressure/strains
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Uses Software
Cites Work
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- Effect of numerical integration on meshless methods
- From the Hu-Washizu formulation to the average nodal strain formulation
- Maximum-entropy meshfree method for compressible and near-incompressible elasticity
- Meshfree-enriched simplex elements with strain smoothing for the finite element analysis of compressible and nearly incompressible solids
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- Second-order locking-free nonconforming elements for planar linear elasticity
- A stable finite element for the Stokes equations
- Remarks on 4CST-elements for incompressible materials
- Numerical integration of the Galerkin weak form in meshfree methods
- Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
- Mixed linear/linear simplicial elements for incompressible elasticity and plasticity.
- A four-point integration scheme with quadratic exactness for three-dimensional element-free Galerkin method based on variationally consistent formulation
- An analysis of some mixed-enhanced finite element for plane linear elasticity
- The finite element method with Lagrangian multipliers
- An averaged nodal deformation gradient linear tetrahedral element for large strain explicit dynamic applications
- Patch-averaged assumed strain finite elements for stress analysis
- Second-order accurate derivatives and integration schemes for meshfree methods
- Derivatives of maximum-entropy basis functions on the boundary: Theory and computations
- An arbitrary order variationally consistent integration for Galerkin meshfree methods
- Consistent element-free Galerkin method
- Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
- A stabilized nodally integrated tetrahedral
- Assumed-deformation gradient finite elements with nodal integration for nearly incompressible large deformation analysis
- Overview and construction of meshfree basis functions: from moving least squares to entropy approximants
- 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
- Quadrature for meshless methods
- Inf-sup stable finite-element pairs based on dual meshes and bases for nearly incompressible elasticity
- Smooth, second order, non-negative meshfree approximants selected by maximum entropy
- On the Variational Foundations of Assumed Strain Methods
- A finite element formulation for nonlinear incompressible elastic and inelastic analysis
- Generalization of selective integration procedures to anisotropic and nonlinear media
- Nonconforming Finite Element Methods for the Equations of Linear Elasticity
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Triangles and tetrahedra in explicit dynamic codes for solids
- Tetrahedral composite finite elements
- Locking-free DGFEM for elasticity problems in polygons
- Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes
- A new class of radial basis functions with compact support
- Finite calculus formulation for incompressible solids using linear triangles and tetrahedra
- A point interpolation meshless method based on radial basis functions
- A class of mixed assumed strain methods and the method of incompatible modes
- Construction of polygonal interpolants: a maximum entropy approach
- F‐bar‐based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: formulation and benchmarking
- Meshfree Methods
