Research on Generalized Compatibility Equations of Quasi-Conforming Element Methods

Ke Wei Ding

doi:10.4028/www.scientific.net/AMM.94-96.1651

Paper Titles

Vibration Analysis Method of Cracked Beam Based on the Principle of Energy
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Study on Particle Inconsistency Problem in Smoothed Particle Hydrodynamics
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A New Torsion Element of Thin-Walled Beams Including Shear Deformation
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An Atomic Modeling Method for the Buckling of Carbon Nanotubes
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Research on Generalized Compatibility Equations of Quasi-Conforming Element Methods
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Crack Propagation Analysis of Concrete Beam Subjected to Three-Point Bending Using XFEM
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Finite Element Analysis of Small Marine Diesel Engine Crankshaft
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A Study of Aerodynamic Effects of High-Speed Trains through Tunnels
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Analysis of Folded Plates Using a General Finite Strip
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 94-96Research on Generalized Compatibility Equations of...

Research on Generalized Compatibility Equations of Quasi-Conforming Element Methods

Abstract:

Brief development process of the finite element method, foundation of quasi-conforming element has been analyzed from weak formulation generalized compatibility equations and its weak continuity condition in this paper. The quasi-conforming element methods are the exact solution of generalized compatibility equations and satisfy the weak continuity requirement naturally. The quasi-conforming element methods do not satisfy stress equilibrium conditions and concision calculating process of matrix’s athwart. The discrete precision can be predicted in prior. It also extends space of original finite element method and is landmark in computational mechanics.

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Periodical:

Applied Mechanics and Materials (Volumes 94-96)

Pages:

1651-1654

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.94-96.1651

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Online since:

September 2011

Authors:

Ke Wei Ding

Keywords:

Generalized Compatibility Equations, Quasi-Conforming Element, Verify Function, Weak Formulation

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