Solid elements with rotational dofs by explicit hybrid stabilization

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 17, 1996, Pages 2987-3005

  Sze, K Y ^a   Soh, A K ^b   Sim, Y S ^c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^c ATS Centre   (Singapore)

Author keywords

Finite element; Hexahedral; Hybrid mixed; Rotation; Stabilization

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ROTATION; STRAIN; STRESSES; VARIATIONAL TECHNIQUES;

ALLMAN ROTATION; EQUAL ROTATION MECHANISMS; EXPLICIT HYBRID STABILIZATION TECHNIQUE; FOUR POINT RULE; HOURGLASS MECHANISMS; SECOND ORDER QUADRATURE;

FINITE ELEMENT METHOD;

EID: 0030241670     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19960915)39:17<2987::AID-NME986>3.0.CO;2-H     Document Type: Article

References (13)

1. D. J. Allman, 'A compatible triangular element including vertex rotations for plane elasticity analysis,' Comp. Struct., 19, 1-8 (1984).
2. R. H. MacNeal and R. L. Harder, 'A refined four-noded membrane element with rotational degrees of freedom,' Comp. Struct., 28, 75-84 (1989).
3. R. H. MacNeal, 'Toward a defect-free four-noded membrane element', Finite Elements Anal. Des., 5, 31-37 (1989).
4. S. M. Yanus, Saigal and R. D. Cook, 'On improved hybrid finite elements with rotational degrees of freedom,' Int. j. numer. methods eng., 28, 785-800 (1989).
5. H. Liu, L.-M. Tang and H.-X Lu, 'The quasi-conforming plane elements with rotational degree of freedom,' Comp. Struct. Mech. Appl., 7, 23-31 (1990) (in Chinese).
6. A. Ibrahimbegovic, R. L. Taylor and E. L. Wilson, 'A robust quadrilateral membrane finite element with drilling degrees of freedom, Int. j. numer. methods eng., 30, 445-457 (1990).
7. K. Y. Sze. W. J. Chen and Y. K. Cheung, 'An efficient quadrilateral element with drilling degrees of freedom using orthogonal stress modes.' Comp. Struct., 42, 695-705 (1992).
8. M. A. Aminpour, 'An assumed stress hybrid 4-node shell element with drilling degrees of freedom', Int. j. numer. methods eng., 33, 19-38 (1992).
9. K. Y. Sze and A. Ghali, 'Hybrid quadrilateral element with corner rotations', J. Struct. Eng. ASCE., 119, 2552-1572 (1993).
10. K. Y. Sze and C. L. Chow, 'Efficient hybrid mixed elements using admissible matrix formulation', Comp. Methods Appl. Mech. Eng., 99, 1-26 (1992).
11. K. Y. Sze, C. L. Chow and W.-J. Chen, 'On invariance of isoparametric hybrid elements', Commun, appl. numer. methods, 8, 385-406 (1992).
12. R. H. MacNeal and R. L. Harder, 'A proposed standard set of problems to test finite element accuracy', Finite Elements Anal. Des., 1, 3-20 (1985).
13. S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill, New York, 1970.