Enrichment of the Finite Element Method With the Reproducing Kernel Particle Method
From MaRDI portal
Publication:4398142
DOI10.1115/1.2788993zbMath0920.73366OpenAlexW1964103026MaRDI QIDQ4398142
Rasim Aziz Uras, Y. Chen, Wing Kam Liu
Publication date: 14 July 1998
Published in: Journal of Applied Mechanics (Search for Journal in Brave)
Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc777015/
interaction termanalytical functionsparticle gridcoarse mesh\(hp\)-enrichmentadaptivity procedurefinite element method shape functionshigher-order RKPM window functions
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (59)
An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks ⋮ A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations. II: Coupling ⋮ Multiresolution analysis for material design ⋮ Four-Node Quadrilateral Element with Continuous Nodal Stress for Geometrical Nonlinear Analysis ⋮ Bridging multi-scale approach to consider the effects of local deformations in the analysis of thin-walled members ⋮ A new hierarchical partition of unity formulation of EFG meshless methods ⋮ Shape optimization using reproducing kernel particle method and an enriched genetic algorithm ⋮ Hierarchical enrichment for bridging scales and mesh-free boundary conditions ⋮ Automatic modelling of heterotypic tunnel structures via NURBS-based meshfree method ⋮ Adaptive multiple scale meshless simulation on springback analysis in sheet metal forming ⋮ Coupling of atomistic and continuum simulations using a bridging scale decomposition. ⋮ A hybrid DQ/LMQRBF-DQ approach for numerical solution of Poisson-type and Burger's equations in irregular domain ⋮ A node enrichment adaptive refinement in discrete least squares meshless method for solution of elasticity problems ⋮ Coupling of the mesh-free finite cloud method with the boundary element method: a collocation approach. ⋮ A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivity ⋮ A unified approach to the mathematical analysis of generalized RKPM, gradient RKPM, and GMLS ⋮ Application of the element free Galerkin method to the simulation of plane strain rolling. ⋮ Coupling of finite element method with material point method by local multi-mesh contact method ⋮ Unnamed Item ⋮ Arbitrarily smooth generalized finite element approximations ⋮ A Lagrangian/semi-Lagrangian coupling approach for accelerated meshfree modelling of extreme deformation problems ⋮ Towards a general interpolation scheme ⋮ An adaptive finite element material point method and its application in extreme deformation problems ⋮ A partition of unity-based ‘FE-Meshfree’ QUAD4 element for geometric non-linear analysis ⋮ Modeling of reinforced concrete through SPH-FE coupling and its application to the simulation of a projectile's impact onto a slab ⋮ Multi-scale methods ⋮ Discretization error associated with reproducing kernel methods: One-dimensional domains ⋮ Numerical simulations of strain localization in inelastic solids using mesh-free methods ⋮ A parallelized meshfree method with boundary enrichment for large-scale CFD ⋮ An introduction to computational nanomechanics and materials ⋮ A multiscale projection method for the analysis of carbon nanotubes ⋮ An introduction and tutorial on multiple-scale analysis in solids ⋮ Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels ⋮ Bridging multi-scale method for localization problems ⋮ Reproducing kernel element method. I: Theoretical formulation ⋮ Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies ⋮ Reproducing kernel element method. III: Generalized enrichment and applications ⋮ An extended meshfree method for boundary value problems ⋮ A comparison of two formulations to blend finite elements and mesh-free methods ⋮ Elimination of slip-locking in composite beam-column analysis by using the element-free Galerkin method ⋮ Three-dimensional bridging scale analysis of dynamic fracture ⋮ Modelling and simulation of fluid structure interaction by meshfree and FEM ⋮ Dynamic shear band propagation and micro-structure of adiabatic shear band. ⋮ Contribution of computational mechanics in numerical simulation of machining and blancking: state-of-the-art ⋮ Enrichissement des interpolations d'éléments finis en utilisant des méthodes sans maillage ⋮ Domain decomposition methods for domain composition purpose: chimera, overset, gluing and sliding mesh methods ⋮ On Adaptive Refinement Analysis for the Coupled Boundary Element Method—Reproducing Kernel Particle Method ⋮ Dynamic fracture with meshfree enriched XFEM ⋮ Coupling of Finite Element and Meshfree Method for Structure Mechanics Application: A Review ⋮ Extended embedded finite elements with continuous displacement jumps for the modeling of localized failure in solids ⋮ Meshless and analytical solutions to the time-dependent advection-diffusion-reaction equation with variable coefficients and boundary conditions ⋮ An adaptive edge-based smoothed point interpolation method for mechanics problems ⋮ An ALE based iterative CBS algorithm for non-isothermal non-Newtonian flow with adaptive coupled finite element and meshfree method ⋮ A momentum-consistent stabilization algorithm for Lagrangian particle methods in the thermo-mechanical friction drilling analysis ⋮ Computer implementation of damage models by finite element and meshfree methods ⋮ Coupling of mesh-free methods with finite elements: basic concepts and test results ⋮ Multi-scale meshfree parallel computations for viscous, compressible flows ⋮ Enriching the finite element method with meshfree particles in structural mechanics ⋮ Adaptive enrichment meshfree simulation and experiment on buckling and post-buckling analysis in sheet metal forming
This page was built for publication: Enrichment of the Finite Element Method With the Reproducing Kernel Particle Method