Some low‐order quadrilateral elements based on novel integration rules

DOI10.1108/02644409810231853zbMath0943.74068OpenAlexW2030356292MaRDI QIDQ4700837

Reddy, B. Daya, Martin Küssner

Publication date: 5 September 2000

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644409810231853

zbMATH Keywords

one-point integrationfour-noded quadrilateral elementslow-order integration rulestwo-point integration

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (2)

The four-noded quadrilateral with a \(2\times 1\) integration rule: Application to plates and other problems ⋮ A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography

Cites Work

• Efficient implementation of quadrilaterals with high coarse-mesh accuracy
• Penalty approximation of Stokes flow
• Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
• Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
• Further results for enhanced strain methods with isoparametric elements
• Eigenvalue analysis of compatible and incompatible rectangular four-node quadrilateral elements
• A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
• A non-conforming element for stress analysis
• On the stabilization of the rectangular 4‐node quadrilateral element
• Stability and Convergence of a Class of Enhanced Strain Methods
• A class of mixed assumed strain methods and the method of incompatible modes

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