The equivalent parallelogram and parallelepiped, and their application to stabilized finite elements in two and three dimensions

Computer Methods in Applied Mechanics and Engineering

Volumn 190, Issue 15-17, 2001, Pages 1967-1983

  Kussner M ^a   Reddy, B D ^a  

^a UNIVERSITY OF CAPE TOWN   (South Africa)

Author keywords

Equivalent parallelepiped; Equivalent parallelogram; Incompatible modes; Stabilization

Indexed keywords

FINITE ELEMENT METHOD;

EID: 0035808182     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(00)00217-6     Document Type: Article

References (17)

1. EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements
2. Some geometrical results and estimates for quadrilateral finite elements,
3. Further results for enhanced strain methods with isoparametric elements
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5. Efficient implementation of quadrilaterals with high coarse-mesh accuracy
6. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
7. Eigenvalue analysis of compatible and incompatible rectangular four-node quadrilateral elements
8. On the stabilization of the rectangular four-node quadrilateral element
9. Rational approach for assumed stress finite elements
10. The four-noded quadrilateral with a 2 x 1 integration rule: Application to plates and other problems
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12. A new stabilization technique for finite elements in nonlinear elasticity
13. A new locking-free brick element technique for large deformation problems in elasticity
14. A class of mixed assumed strain methods and the methods and the method of incompatible modes
15. Improved version of assumed enhanced strain tri-linear elements for 3D finite deformation problems
16. A non-conforming element for stress analysis
17. Incompatible displacement models