A novel alpha finite element method ( αFEM) for exact solution to mechanics problems using triangular and tetrahedral elements

The paper presents an alpha finite element method ( αFEM) for computing nearly exact solution in energy norm for mechanics problems using meshes that can be generated automatically for arbitrarily complicated domains. Three-node triangular ( αFEM-T3) and four-node tetrahedral ( αFEM-T4) elements wit...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering Vol. 197; no. 45; pp. 3883 - 3897
Main Authors:	Liu, G.R., Nguyen-Thoi, T., Lam, K.Y.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 15.08.2008 Elsevier
Subjects:	Alpha finite element method ( αFEM) Computational techniques Exact sciences and technology Finite element method (FEM) Fundamental areas of phenomenology (including applications) Lower bound Mathematical methods in physics Node-based smoothed finite element method (N-SFEM) Numerical methods Physics Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics Upper bound Finite element method (FEM) Lower bound Upper bound Alpha finite element method ( αFEM) Numerical methods Node-based smoothed finite element method (N-SFEM) High strain Strain energy Triangular finite element Tetrahedral shape Scale factor Aspect ratio Modeling Exact solution Finite element method System with n degrees of freedom Numerical methods;Finite element method (FEM);Node-based smoothed finite element method (N-SFEM);Upper bound;Lower bound;Alpha finite element method (aFEM) Non linear effect
ISSN:	0045-7825, 1879-2138
Online Access:	Get full text
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