Quadratically consistent one-point (QC1) quadrature for meshfree Galerkin methods

DOI10.1016/J.CMA.2012.07.019zbMath1354.74266OpenAlexW2122934470MaRDI QIDQ503965

Qinglin Duan, Bingbing Wang, Xin Gao, Hong-Wu Zhang, Xi-Kui Li

Publication date: 24 January 2017

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.2012.07.019

zbMATH Keywords

consistencyintegrationquadraturemeshfreehourglassSCNI

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (9)

A stabilized nodally integrated meshfree formulation for fully coupled hydro-mechanical analysis of fluid-saturated porous media ⋮ A linear smoothed higher-order CS-FEM for the analysis of notched laminated composites ⋮ Consistent element-free Galerkin method ⋮ Local Kronecker delta property of the MLS approximation and feasibility of directly imposing the essential boundary conditions for the EFG method ⋮ Numerical and experimental validation of an explicit meshfree method: with applications to material forming ⋮ An efficient and quadratic accurate linear-gradient smoothing integration scheme for meshfree Galerkin methods ⋮ A stabilized non-ordinary state-based peridynamic model ⋮ Quadratically consistent nodal integration for second order meshfree Galerkin methods ⋮ A stabilised mixed meshfree method for incompressible media: application to linear elasticity and Stokes flow

Uses Software

• LS-DYNA
• ABAQUS/Explicit

Cites Work

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