A new partition of unity finite element free from the linear dependence problem and possessing the delta property

From MaRDI portal
Publication:649210

DOI10.1016/j.cma.2009.11.019zbMath1227.74065OpenAlexW1997431556MaRDI QIDQ649210

Xiaoying Zhuang, Yongchang Cai, Charles E. Augarde

Publication date: 30 November 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/6750/1/6750.pdf




Related Items (39)

Numerical simulation of fracking in shale rocks: current state and future approachesMoving least-squares in finite strain analysis with tetrahedra supportWell-conditioning global-local analysis using stable generalized/extended finite element method for linear elastic fracture mechanicsA hybrid `FE-meshless' Quad4 with continuous nodal stress using radial-polynomial basis functionsConstruct `FE-meshfree' Quad4 using mean value coordinatesAugmented numerical manifold method with implementation of flat-top partition of unityA high-order numerical manifold method with nine-node triangular meshesA novel numerical manifold method with derivative degrees of freedom and without linear dependenceA partition-of-unity based `FE-meshfree' triangular element with radial-polynomial basis functions for static and free vibration analysisFree and forced vibration analyses using the four-node quadrilateral element with continuous nodal stressApplication of the `FE-meshfree' Quad4 with continuous nodal stress using radial-polynomial basis functions for vibration and geometric nonlinear analysesA high-order three-dimensional numerical manifold method enriched with derivative degrees of freedomImproved numerical manifold method (iNMM) -- an extra-DOF free and interpolating NMM with continuous nodal stressFour-Node Quadrilateral Element with Continuous Nodal Stress for Geometrical Nonlinear AnalysisA `FE-meshfree' TRIA3 element based on partition of unity for linear and geometry nonlinear analysesNew strategies for some issues of numerical manifold method in simulation of crack propagationDynamic high order numerical manifold method based on weighted residual methodTopology optimization based on the high-order numerical manifold method by implementing a four-node quadrilateral elementPreconditioned numerical manifold method for linear elastic fracturesPrediction of rank deficiency in partition of unity-based methods with plane triangular or quadrilateral meshesA meshless local Petrov-Galerkin Shepard and least-squares method based on duo nodal supportsA cell-based smoothed finite element method using three-node shear-locking free Mindlin plate element (CS-FEM-MIN3) for dynamic response of laminated composite plates on viscoelastic foundationProof of linear independence of flat-top PU-based high-order approximation2D numerical manifold method based on quartic uniform B-spline interpolation and its application in thin plate bendingExtra-dof-free and linearly independent enrichments in GFEMA partition-of-unity based `FE-meshfree' QUAD4 element with radial-polynomial basis functions for static analysesStable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanicsA gradient continuous smoothed GFEM for heat transfer and thermoelasticity analysesThe MITC3+ shell element enriched in membrane displacements by interpolation coversA high-order numerical manifold method with continuous stress/strain fieldInvestigation of linear dependence problem of three-dimensional partition of unity-based finite element methodsHydro-mechanical simulation of the saturated and semi-saturated porous soil-rock mixtures using the numerical manifold methodSmoothed FE-meshfree method for solid mechanics problemsImproved XFEM -- an extra-DoF free, well-conditioning, and interpolating XFEMExplicit edge-based smoothed numerical manifold method for transient dynamic modeling of two-dimensional stationary cracksThe orthonormalized generalized finite element method-OGFEM: efficient and stable reduction of approximation errors through multiple orthonormalized enriched basis functionsEnriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticityA mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous mediaAccurate fracture modelling using meshless methods, the visibility criterion and level sets: Formulation and 2D modelling


Uses Software


Cites Work


This page was built for publication: A new partition of unity finite element free from the linear dependence problem and possessing the delta property