A kinematically exact finite element formulation of elastic-plastic curved beams

Computers and Structures

Volumn 67, Issue 4, 1998, Pages 197-214

  Saje, M ^a   Turk, G ^a   Kalagasidu, A ^a   Vratanar, B ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC LOADS; ELASTOPLASTICITY; FINITE ELEMENT METHOD; KINEMATICS; LAGRANGE MULTIPLIERS; PERFORMANCE;

DISPLACEMENT FORMULATION; ELASTIC PLASTIC CURVED BEAMS; SHEAR STRAINS;

CURVED BEAMS AND GIRDERS;

EID: 0032068455     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(98)00046-7     Document Type: Article

References (47)

1. Babu CR, Prathap G. A linear thick curved beam element. Int J Numer Meth Engng 1986;23:1313-28.
2. Banovec J. An efficient finite element method for elastic-plastic analysis of plane frames. In: Wunderlich T, Stein E, Bathe K-J, editors. Nonlinear finite element analysis in structural mechanics. New York: Springer, 1981:385-402.
3. Borri M, Bottasso C. An intrinsic beam model based on a helicoidal approximation - Part II: linearization and finite element implementation. Int J Numer Meth Engng 1994;37:2291-309.
4. Burgoyne CJ, Crisfield MA. Numerical integration strategy for plates and shells. Int J Numer Meth Engng 1990;18:105-21.
5. Choi JK, Lim JK. General curved beam elements based on the assumed strain fields. Comput Struct 1995;55:379-86.
6. Coulter BA, Miller RE. Loading, unloading and reloading of a generalized plane plastica. Int J Numer Meth Engng 1989;28:1645-60.
7. DaDeppo DA, Schmidt R. Large deflections and stability of hingeless circular arches under interacting loads. ASME J Appl Mechanics 1974;96:989-94.
8. DaDeppo DA, Schmidt R. Instability of clamped-hinged circular arches subjected to a point load. ASME J Appl Mechanics 1975;97:894-6.
9. Dickie JF, Broughton P. Stability criteria for shallow arches. ASCE J Engng Mech Div 1971;97:951-65.
10. Dvorkin EN, Oñate E, Oliver J. On a non-linear formulation for curved Timoshenko beam elements considering large displacement/rotation increments. Int J Numer Meth Engng 1988;26:1597-613.
11. Franchi CG, Montelaghi F. A weak-weak formulation for large displacements beam statics: a finite volumes approximation. Int J Numer Meth Engng 1996;39:585-604.
12. Gontier C, Vollmer C. A large displacement analysis of a beam using a CAD geometric definition. Compt Struct 1995;57:981-9.
13. Goto Y, Yamashita T, Matsuura S. Elliptic integral solutions for extensional elastica with constant initial curvature. JSCE Structural Engng Earthquake Engng 1987;4:299-309.
14. Hsiao KM, Hou FY. Nonlinear finite element analysis of elastic frames. Comput Struct 1987;26:693-701.
15. Ibrahimbegović A. On finite element implementation of geometrically nonlinear Reissner's beam theory: three-dimensional curved beam elements. Comp Meth Appl Mech Engng 1995;122:11-26.
16. Ibrahimbegović A, Frey F. Finite element analysis of linear and non-linear planar deformations of elastic initially curved beams. Int J Numer Meth Engng 1993;36:3239-58.
17. Jenkins JA, Seitz TB, Przemieniecki JS. Large deflections of diamond-shaped frames. Int J Solids Struct 1966;2:591-603.
18. Kegl M, Butinar BJ, Oblak MM. Shape optimal design of elastic planar frames with non-linear response. Int J Numer Meth Engng 1995;38:3227-42.
19. Koziey BL, Mirza FA. Consistent curved beam element. Comput Struct 1994;51:643-54.
20. Lee P-G, Sin H-C. Locking-free curved beam element based on curvature. Int J Numer Meth Engng 1994;37:989-1007.
21. Lee S-S, Koo JS, Choi JM. Development of a new curved beam element with shear effect. Engng Comput 1996;13:9-25.
22. Mattiasson K. Numerical results from large deflection beam and frame problems analysed by means of elliptic integrals. Int J Numer Meth Engng 1981;16:145-53.
23. Noor AK, Peters JM. Mixed models and reduced/selective integration displacement models for nonlinear analysis of curved beams. Int J Numer Meth Engng 1981;17:615-31.
24. Noor AK, Greene WH, Hartley SJ. Nonlinear finite element analysis of curved beams. Comp Meth Appl Mech Engng 1977;12:289-307.
25. Pak RYS, Stauffer EJ. Nonlinear finite deformation analysis of beams and columns. ASCE J Engng Mech 1994;120:2136-53.
26. Pantazopoulou SJ. Low-order interpolation functions for curved beams. ASCE J Engng Mech 1992;118:329-50.
27. Reddy BD, Volpi MB. Mixed finite element methods for the circular arch problem. Comp Meth Appl Mech Engng 1992;97:125-45.
28. Reissner E. On one-dimensional finite-strain beam theory: the plane problem. J Appl Math Phys (ZAMP) 1972;23:795-804.
29. Saje M. A variational principle for finite planar deformation of straight slender elastic beams. Int J Solids Struct 1990;26:887-900.
30. Saje M. Finite element formulation of finite planar deformation of curved elastic beams. Comput Struct 1991;39:327-37.
31. Saje M, Planinc I, Turk G, Vratanar B. A kinematically exact finite element formulation of planar elastic-plastic frames. Comp Meth Appl Mech Engng 1997;144:125-51.
32. 0 curved beam elements. Comp Meth Appl Mech Engng 1987;60:95-121.
33. Sandhu JS, Stevens KA, Davies GAO. A 3-D, co-rotational, curved and twisted beam element. Comput Struct 1990;35:69-79.
34. Shinohara A, Hara M. Large deflection of a circular C-shaped spring. Int J Mech Sci 1979;21:179-86.
35. Simo JC, Hjelmstad KD, Taylor RL. Numerical formulations of elasto-viscoplastic response of beams accounting for the effect of shear. Comp Meth Appl Engng 1984;42:301-30.
36. Simo JC. A finite strain beam formulation. The three-dimensional dynamic problem, Part I. Comp Meth Appl Engng 1985;49:55-70.
37. Simo JC, Wriggers P, Schweizerhof KH, Taylor RL. Finite deformation post-buckling analysis involving inelasticity and contact constraints. Int J Numer Meth Engng 1981;23:779-800.
38. Stolarski H, Belytschko T. Membrane locking and reduced integration for curved elements. ASME J Appl Mech 1982;49:172-6.
39. 0 elements. Comp Meth Appl Mech Engng 1983;41:279-96.
40. Surana KS. Geometrically non-linear formulation for two dimensional curved beam elements. Comput Struct 1983;17:105-14.
41. Surana KS, Sorem RM. Geometrically non-linear formulation for three dimensional curved beam elements with large rotations. Int J Numer Meth Engng 1989;28:43-73.
42. Tessler A, Spiridigliozzi L. Curved beam elements with penalty relaxation. Int J Numer Meth Engng 1986;23:2245-62.
43. Wagner W. A path-following algorithm with quadratic predictor. Comput Struct 1991;39:339-48.
44. Washizu K. Variational Methods in Elasticity and Plasticity. Oxford: Pergamon Press 1981.
45. Wood RD, Zienkiewicz OC. Geometrically nonlinear finite element analysis of beams, frames, arches and axisymmetric shells. Comput Struct 1977;7:725-35.
46. Yang Y-B, Kuo S-R, Cherng Y-D. Curved beam elements for nonlinear analysis. ASCE J Engng Mech 1989;115:840-55.
47. 0 curved beam elements. Comp Meth Appl Mech Engng 1992;95:243-52.