New accurate two-noded shear-flexible curved beam elements

Computational Mechanics

Volumn 30, Issue 2, 2003, Pages 81-87

  Zhang, C ^a,b   Di, S ^a  

^a UNIVERSITY OF TECHNOLOGY SYDNEY   (Australia)

^b G+D Computing Pty Ltd   (Australia)

Author keywords

Curved beam; Displacement element; Hybrid stress element; Nodeless degrees of freedom

Indexed keywords

INTERPOLATION; POTENTIAL ENERGY; SHEAR DEFORMATION; STRAIN; STRESS ANALYSIS;

CURVED BEAM ELEMENTS;

CURVED BEAMS AND GIRDERS;

EID: 0037220920     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-002-0367-2     Document Type: Article

References (22)

1. Babu CR, Prathap G (1986) An isoparametric quadratic thick curved beam element. Int. J. Numer. Meth. Eng. 23: 1583-1600
2. Choi JK, Lim KJ (1995) General curved beam element based on the assumed strain fields. Comp. Struct. 55:379-386
3. Dawe DJ (1974) Curved finite elements for the analysis of shallow and deep arches. Comp. Struct. 4:559-580
4. Dorfi HR, Busby HR (1994) An effective curved composite beam finite element based on the hybrid-mixed formulation. Comp. Struct. 53:43-52
5. Friedman Z, Kosmatka JB (1998) An accurate two-node finite element for shear deformable curved beams. Int. J. Numer. Meth. Eng. 41:473-498
6. Hu HC (1981) Variational Principles of Theory of Elasticity with Applications (in Chinese), Beijing: Science Press, pp 169-175
7. Kim JG, Kim YY (1998) A new higher-order hybrid-mixed curved beam element. Int. J. Numer. Meth. Eng. 43:925-940
8. Krishnan, Suresh YJ (1998) A simple cubic linear element for static and free vibration analyses of curved beams. Comp. Struct. 68:463-489
9. Lee PG, Sin HC (1994) Locking free curved beam element based on curvature. Int. J. Numer. Meth. Eng. 37:989-1007
10. Litewka P, Rakowski J (1997) An efficient curved beam finite element. Int. J. Numer. Meth. Eng. 40:2629-2652
11. Litewka P, Rakowski J (1998) The exact thick arch finite element. Comp. Struct. 68:369-379
12. Noor AK, Peters JM (1981) Mixed models and reduced/selective integration displacement models for nonlinear analysis of curved beams. Int. J. Numer. Meth. Eng. 17:615-631
13. Pian THH, Tong P (1969) Basis of finite element methods for solid continua. Int. J. Numer. Meth. Eng. 1:3-28
14. Prathap G, Bhashyam GR (1982) Reduced integration and the hear flexible beam element. Int. J. Numer. Meth. Eng. 18: 95-210
15. Raveendranath P, Singh G, Pradhan B (1999) A two-noded-ocking-free shear flexible curved beam element. Int. J. Numer. Meth. Eng. 44:265-280
16. Raveendranath P, Singh G, Rao GV (2001) A three-noded shear flexible curved beam element based on coupled displacement field interpolations. Int. J. Numer. Meth. Eng. 51:85-101
17. Saleeb F, Chang TY (1987) On the hybrid-mixed formulation of O curved beam element. Comp. Meth. Appl. Mech. Eng. 60: 95-121
18. Singh G, Raveendranath P, Rao GV (2000) An accurate four-node shear flexible composite plate element. Int. J. Numer. Meth. Eng. 47:1605-1620
19. Shi G, Voyiadjis GZ (1991) Simple and efficient shear flexible two-node arch/beam and four-node cylindrical shell/plate finite elements. Int. J. Numer. Meth. Eng. 31:759-776
20. Stolarski H, Belytschko T (1982) Membrane locking and reduced integration for curved elements. J. Appl. Mech. ASME 49: 172-176
21. Stolarski H, Belytschko T (1983) Shear and membrane locking in curved CO element. Comp. Meth. Appl. Mech. Eng. 41: 279-296
22. Taylor RL, Auricchio F (1993) Linked interpolation for Reissner-Mindlin plate elements, Part II-A simple triangle. Int. J. Numer. Meth. Eng. 36:3057-3066