A novel Galerkin-like weakform and a superconvergent alpha finite element method (S αFEM) for mechanics problems using triangular meshes

A carefully designed procedure is presented to modify the piecewise constant strain field of linear triangular FEM models, and to reconstruct a strain field with an adjustable parameter α. A novel Galerkin-like weakform derived from the Hellinger–Reissner variational principle is proposed for establ...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 228; no. 11; pp. 4055 - 4087
Main Authors:	Liu, G.R., Nguyen-Xuan, H., Nguyen-Thoi, T., Xu, X.
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier Inc 20.06.2009 Elsevier
Subjects:	Alpha finite element method ( αFEM) Computational techniques Exact sciences and technology Finite element method (FEM) Mathematical methods in physics Meshfree methods Node-based smoothed finite element method (NS-FEM) Numerical methods Physics Solution bounds Strain construction methods Superconvergence Meshfree methods Node-based smoothed finite element method (NS-FEM) Solution bounds Alpha finite element method ( αFEM) Numerical methods Strain construction methods Finite element method (FEM) Superconvergence Lower bound Singularity Digital simulation Alpha finite element method (αFEM) Elasticity Numerical method Linear model Bounded solution Calculation methods Exact solution Finite element method Upper bound Variational principle Convergence rate Calculation
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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