Nonlinear inelastic uniform torsion of composite bars by BEM

Computers and Structures

Volumn 87, Issue 3-4, 2009, Pages 151-166

  Sapountzakis, E J ^a   Tsipiras, V J ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Boundary element method; Composite bar; Inelastic; Uniform torsion; Wagner strain; Warping

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; ELASTOPLASTICITY; INITIAL VALUE PROBLEMS; MILITARY OPERATIONS; NUMERICAL ANALYSIS; POLYMER MATRIX COMPOSITES; RIGIDITY; ROTATION; STRAIN; STRAIN HARDENING; STRESS-STRAIN CURVES; THIN WALLED STRUCTURES; TORSIONAL STRESS; WEAVING;

COMPOSITE BAR; INELASTIC; UNIFORM TORSION; WAGNER STRAIN; WARPING;

BOUNDARY ELEMENT METHOD;

EID: 58149522090     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2008.11.005     Document Type: Article

References (35)

1. Nadai A. Plasticity (1931), McGraw-Hill, New York, NY
2. Christopherson D.G. A theoretical investigation of plastic torsion in an I-beam. J Appl Mech 7 (1940) 1-4
3. Nadai A. Theory of flow and fracture of solids (1954), McGraw-Hill, New York, NY
4. Sokolovsky WW. Theory of plasticity. Moscow, Russia; 1946 [in Russian].
5. Smith J.O., and Sidebottom O.M. Inelastic behaviour of load carrying members (1965), John Wiley & Sons, Inc., New York, NY
6. Bilinghurst A., Williams J.R.L., Chen G., and Trahair N.S. Inelastic uniform torsion of steel members. Comput Struct 42 6 (1992) 887-894
7. Ashwell D.G. The axis of distortion of a twist prism. Philos Mag 42 (1951) 820-832
8. Gregory M. The bending and shortening effect of pure torque. Aust J Appl Sci 11 (1960) 209-216
9. Tso W.K., and Ghobarah A.A. Nonlinear non-uniform torsion of thin-walled beams. Int J Mech Sci 13 (1971) 1039-1047
10. Yamada Y., Katagiri S., and Takatruka K. Elastic-plastic analysis of Saint-Venant torsion problem by a hybrid stress model. Int J Numer Meth Eng 5 2 (1972) 193-207
11. Johnson A.F. Bending and torsion of anisotropic bars. Int J Solids Struct 9 (1973) 527-551
12. Itani R.Y. Elasto-plastic torsion of axisymmetric bars. J Eng Mech Div ASCE 105 1 (1979) 1-12
13. Baba S., and Kajita T. Plastic analysis of torsion of a prismatic beam. Int J Numer Meth Eng 18 6 (1982) 927-944
14. Bathe K.J., and Chaudhary A. On the displacement formulation of torsion of shafts with rectangular cross-sections. Int J Numer Meth Eng 18 10 (1982) 1565-1580
15. Bathe K., and Wiener P.M. On elastic-plastic analysis of I-beams in bending and torsion. Comput Struct 17 5-6 (1983) 711-718
16. Gellim S., Lee G.C., and Chern J.H. A finite element model for thin-walled members. Int J Numer Meth Eng 19 1 (1983) 59-71
17. May I.M., and Al-Shaarbaf A.S. Elasto-plastic analysis of torsion using three-dimensional finite element model. Comput Struct 33 3 (1989) 667-678
18. Chen G., and Trahair N.S. Inelastic nonuniform torsion of steel I-beams. J Constr Steel Res 23 (1992) 189-207
19. Pi Y.L., and Trahair N.S. Nonlinear inelastic analysis of steel beam-columns I. I:Theor J Struct Eng ASCE 120 7 (1994) 2041-2061
20. Pi Y.L., and Trahair N.S. Inelastic torsion of steel I-beams. J Struct Eng ASCE 121 4 (1995) 609-620
21. Pi Y.L., and Trahair N.S. Plastic-collapse analysis of torsion. J Struct Eng ASCE 121 10 (1995) 1389-1395
22. Wagner W., and Gruttmann F. Finite element analysis of Saint-Venant torsion problem with exact integration of the elastic-plastic constitutive equations. Comput Meth Appl Mech Eng 190 (2001) 3831-3848
23. Sapountzakis E.J., and Mokos V.G. Warping shear stresses in nonuniform torsion of composite bars by BEM. Comput Meth Appl Mech Eng 192 (2003) 4337-4353
24. Karama M., Afaq K.S., and Mistou S. Mechanical behavior of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity. Int J Solids Struct 40 6 (2003) 1525-1546
25. Reddy J.N. On refined computational models of composite laminates. Int J Numer Meth Eng 27 (1989) 361-382
26. Touratier M. A refined theory of laminated shallow shells. Int J Solids Struct 29 11 (1992) 1401-1415
27. Crisfield M.A. Nonlinear finite element analysis of solids and structures essentials vol. 1 (1991), John Wiley & Sons, New York
28. Jirasek M., and Bazant Ζ. Inelastic analysis of structures (2002), John Wiley & Sons, London and New York
29. Washizu K. Variational methods in elasticity and plasticity (1975), Pergamon Press, Oxford
30. Ortiz M., and Simo J.C. An analysis of a new class of integration algorithms for elastoplastic constitutive relations. Int J Numer Meth Eng 23 (1986) 353-366
31. Dodds R.H. Numerical techniques for plasticity computations in finite element analysis. Comput Struct 26 5 (1987) 767-779
32. Bathe K.J., and Cimento A.P. Some practical procedures for the solution of nonlinear finite element equations. Comput Meth Appl Mech Eng 22 (1980) 59-85
33. Katsikadelis J.T. Boundary elements: theory and applications (2002), Elsevier, Amsterdam-London
34. Katsikadelis J.T., and Armenakas A.E. Numerical evaluation of line integrals with a logarithmic singularity. AIAA J 23 (1985) 1135-1137
35. Katsikadelis J.T., and Sapountzakis E.J. Torsion of composite bars by boundary element method. J Eng Mech Am Soc Civil Eng (ASCE) 111 9 (1985) 1197-1210