A hybrid Trefftz plane elasticity element with drilling degrees of freedom

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 33-36, 2006, Pages 4095-4105

  Choi, Noori ^a   Choo, Yeon Seok ^a   Lee, Byung Chai ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Drilling d.o.f.; Hybrid Trefftz; Polygonal plane element; True rotation

Indexed keywords

DRILLING; ELASTICITY; MATHEMATICAL MODELS; NUMERICAL METHODS; POTENTIAL ENERGY; ROTATION;

DRILLING DEGREES OF FREEDOM; DRILLING ROTATION; HYBRID TREFFTZ METHOD; PLANE ELASTICITY ELEMENT; POLYGONAL PLANE ELEMENT; TRUE ROTATION;

DEGREES OF FREEDOM (MECHANICS);

DEGREES OF FREEDOM (MECHANICS); DRILLING; ELASTICITY; MATHEMATICAL MODELS; NUMERICAL METHODS; POTENTIAL ENERGY; ROTATION;

EID: 33646203213     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.07.016     Document Type: Article

References (19)

1. Allman D.J. A compatible triangular element including vertex rotations for plane elasticity analysis. Comput. Struct. 19 (1984) 1-8
2. Bergan P.G., and Fellipa C.A. A triangular membrane element with rotational degrees of freedom. Comput. Methods Appl. Mech. Engrg. 50 (1985) 25-69
3. Cook R.D. A plane hybrid element with rotational D.O.F. and adjustable stiffness. Int. J. Numer. Methods Engrg. 24 (1987) 1499-1508
4. MacNeal R.H., and Harder R.L. A refined four-noded membrane element with rotational degrees of freedom. Comput. Struct. 28 (1988) 75-84
5. Huges T.J.R., and Brezzi F. On drilling degrees of freedom. Comput. Methods Appl. Mech. Engrg. 72 (1989) 105-121
6. Ibrahimbegovic A., Taylor R.L., and Wilson E.L. A robust quadrilateral membrane finite element with drilling degrees of freedom. Int. J. Numer. Methods Engrg. 30 (1990) 445-457
7. Iura M., and Atluri S.N. Formulation of a membrane finite element with drilling degrees of freedom. Comput. Mech. 9 (1992) 417-428
8. Geyer S., and Groenwold A.A. Two hybrid stress membrane finite element families with drilling rotations. Int. J. Numer. Methods Engrg. 53 (2002) 583-601
9. Jirousek J. Basis for development of large finite elements locally satisfying all field equations. Comput. Methods Appl. Mech. Engrg. 14 (1978) 65-92
10. Jirousek J., and Teodorescu P. Large finite elements methods for the solution of problems in the theory of elasticity. Comput. Struct. 15 (1982) 575-587
11. Jin W.G., Cheung Y.K., and Zienkiewicz O.C. Application of the Trefftz method in plane elasticity problems. Int. J. Numer. Methods Engrg. 30 (1990) 1147-1161
12. Jirousek J., and Venkatesh A. Hybid Trefftz plane elasticity elements with p-method capabilities. Int. J. Numer. Methods Engrg. 35 (1992) 1443-1472
13. Jirousek J. Variational formulation of two complementary hybrid-Treffrz FE models. Commun. Numer. Methods Engrg. 9 (1993) 837-845
14. Kompis V. Finite elements satisfying all governing equations inside the element. Comput. Struct. 50 (1994) 273-278
15. MacNeal R.H., and Harder R.L. A proposed standard set of problems to test finite element accuracy. Finite Elements Anal. Des. 1 (1985) 3-20
16. Taylor R.L., Beresford P.J., and Wilson E.L. A nonconforming element for stress analysis. Int. J. Numer. Methods Engrg. 10 (1976) 1211-1219
17. Katili I. New discrete Kirchhoff-Mindlin element based on Mindlin-Reissner plate theory and assumed shear strain fields. Part II: An extended DKQ element for thick-plate bending analysis. Int. J. Numer. Methods Engrg. 36 (1993) 1885-1908
18. Cheung Y.K., Zhang Y.X., and Chen W.J. A refined nonconforming plane quadrilateral element. Comput. Struct. 78 (2000) 699-709
19. Yeo S.T., and Lee B.C. New stress assumption for hybrid stress elements and refined four-node plane and eight-node brick elements. Int. J. Numer. Methods Engrg. 40 (1997) 2933-2952