Maximum-entropy meshfree method for compressible and near-incompressible elasticity
type: Item
instance of: scholarly article
title: Maximum-entropy meshfree method for compressible and near-incompressible elasticity
zbMATH Open document ID: 1231.74491
author: Juan-Miguel Gracia
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2012-02-08T00:00:00Z
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 6004290
zbMATH Keywords: linear elasticity
zbMATH Keywords: volumetric locking
zbMATH Keywords: assumed strain
zbMATH Keywords: numerical integration
zbMATH Keywords: maximum entropy principle
zbMATH Keywords: convex approximation
MaRDI profile type: Publication
full work available at URL: j.cma.2010.02.013
OpenAlex ID: W2987259400
cites work: Q3566755
cites work: Generalization of selective integration procedures to anisotropic and nonlinear media
cites work: Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
cites work: A class of mixed assumed strain methods and the method of incompatible modes
cites work: Generalizing the finite element method: Diffuse approximation and diffuse elements
cites work: Element‐free Galerkin methods
cites work: Reproducing kernel particle methods
cites work: \(hp\)-meshless cloud method
cites work: A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
cites work: The natural element method in solid mechanics
cites work: Natural neighbor Galerkin methods
cites work: The method of finite spheres
cites work: Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
cites work: Locking in the incompressible limit for the element-free Galerkin method
cites work: Volumetric locking in the element free Galerkin method
cites work: Volumetric locking in natural neighbour Galerkin methods
cites work: Locking in the incompressible limit: pseudo‐divergence‐free element free Galerkin
cites work: Locking and hourglass phenomena in an element‐free Galerkin context: the B‐bar method with stabilization and an enhanced strain method
cites work: Nodal integration of the element-free Galerkin method
cites work: A stabilized conforming nodal integration for Galerkin mesh-free methods
cites work: Orbital HP-clouds for solving Schrödinger equation in quantum mechanics
cites work: Meshfree and finite element nodal integration methods
cites work: Umbrella spherical integration: a stable meshless method for non-linear solids
cites work: A unified stability analysis of meshless particle methods
cites work: Stability analysis of particle methods with corrected derivatives.
cites work: Convergence and stabilization of stress-point integration in mesh-free and particle methods
cites work: Numerical integration of the Galerkin weak form in meshfree methods
cites work: A particle-partition of unity method. II: Efficient cover construction and reliable integration
cites work: Numerical integration using sparse grids
cites work: The mixed-cell-complex partition-of-unity method
cites work: A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
cites work: A truly meshless Galerkin method based on a moving least squares quadrature
cites work: A truly meshless method based on partition of unity quadrature for shape optimization of continua
cites work: Galerkin meshless methods based on partition of unity quadrature
cites work: The partition of unity quadrature in meshless methods
cites work: Mesh free Galerkin method based on natural neighbors and conformal mapping
cites work: An adaptive procedure based on background cells for meshless methods
cites work: Quadrature for meshless methods
cites work: A three‐dimensional computational procedure for reproducing meshless methods and the finite element method
cites work: Q4213694
cites work: Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes
cites work: Q4493644
cites work: An averaged nodal deformation gradient linear tetrahedral element for large strain explicit dynamic applications
cites work: An assessment of the average nodal volume formulation for the analysis of nearly incompressible solids under finite strains
cites work: A stabilized nodally integrated tetrahedral
cites work: Locking-free continuum displacement finite elements with nodal integration
cites work: On the Variational Foundations of Assumed Strain Methods
cites work: Overview and construction of meshfree basis functions: from moving least squares to entropy approximants
cites work: A Mathematical Theory of Communication
cites work: Information Theory and Statistical Mechanics
cites work: Construction of polygonal interpolants: a maximum entropy approach
cites work: Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
cites work: Imposing essential boundary conditions in mesh-free methods
cites work: Meshfree co-rotational formulation for two-dimensional continua
cites work: Smooth, second order, non-negative meshfree approximants selected by maximum entropy
cites work: On finite element formulations for nearly incompressible linear elasticity
cites work: Natural element approximations involving bubbles for treating mechanical models in incompressible media
cites work: Recent advances in the construction of polygonal finite element interpolants
cites work: Q5683765
cites work: A stable finite element for the Stokes equations
cites work: F‐bar‐based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: formulation and benchmarking

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cites work: Diamond elements: a finite element/discrete-mechanics approximation scheme with guaranteed optimal convergence in incompressible elasticity

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cites work: Remarks on 4CST-elements for incompressible materials

Maximum-entropy meshfree method for compressible and near-incompressible elasticity (DOI)
DOI: 10.1016/J.CMA.2010.02.013