Browse > Article
http://dx.doi.org/10.12989/sem.2017.62.1.033

Nonlinear torsional analysis of 3D composite beams using the extended St. Venant solution  

Yoon, Kyungho (Department of Mechanical and Aerospace Engineering, Seoul National University)
Kim, Do-Nyun (Department of Mechanical and Aerospace Engineering, Seoul National University)
Lee, Phill-Seung (Department of Mechanical Engineering, Korean Advanced Institute for Science and Technology)
Publication Information
Structural Engineering and Mechanics / v.62, no.1, 2017 , pp. 33-42 More about this Journal
Abstract
We present in this paper a finite element formulation for nonlinear torsional analysis of 3D beams with arbitrary composite cross-sections. Since the proposed formulation employs a continuum mechanics based beam element with kinematics enriched by the extended St. Venant solutions, it can precisely account higher order warping effect and its 3D couplings. We propose a numerical procedure to calculate the extended St. Venant equation and the twisting center of an arbitrary composite cross-section simultaneously. The accuracy and efficiency of the proposed formulation are thoroughly investigated through representative numerical examples.
Keywords
nonlinear analysis; finite element method; beam; composite; torsion; warping;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Hogsberg, J. and Krenk, S. (2014), "Analysis of moderately thin-walled beam cross-sections by cubic isoparametric elements", Comput. Struct., 134, 88-101.   DOI
2 Horgan, C.O. Simmonds, J.G. (1994), "Saint Venant end effects in composite structures", Compos. Engrg., 4, 279-286.   DOI
3 Ishaquddin, Md., Raveendranath, P. and Reddy, J.N. (2012), "Flexure and torsion locking phenomena in out-of-plane deformation of Timoshenko curved beam element", Finite Elem. Anal. Des., 51, 22-30.   DOI
4 Kim, D.N., Montans F.J. and Bathe, K.J. (2009), "Insight into a model for large strain anisotropic elasto-plasticity", Comput. Mech., 44, 2027-2041.
5 Lee, J. and Lee, S. (2004), "Flexural-torsional behavior of thin-walled composite beams", Thin Wall. Struct., 42, 1293-1305.   DOI
6 Lee, P.S. and McClure, G. (2006), "A general 3D L-section beam finite element for elastoplastic large deformation analysis", Comput. Struct., 84, 215-229.   DOI
7 Librescu, L. (2006), Thin-walled Composite Beams, Springer, Dordrecht.
8 Neto, E.A.S, Peric, D. and Owen, D.R.J. (2008), Computational Method for Plasticity: Theory and Applications, Wiley & Sons.
9 Rand, O. (1998), "Closed-form solutions for solid and thin-walled composite beams including a complete out-of-plane warping model", Int. J. Solid. Struct., 35, 2775-2793.   DOI
10 Sapountzakis E.J. and Mokos V.G. (2003), "Warping shear stresses in nonuniform torsion of composite bars by BEM", Comput. Meth. Appl. Mech. Eng., 192, 4337-4353.   DOI
11 Sapountzakis, E.J. and Tsipiras, V.J. (2010), "Non-linear elastic non-uniform torsion of bars of arbitrary cross-section by BEM", Int. J. Nonlin. Mech., 45, 63-74.   DOI
12 Timoshenko, S.P. and Goodier, J.N. (1970), Theory of Elasticity, McGraw Hill.
13 Cardoso, J.E.B., Benedito, N.M.B. and Valido, A.J.J. (2009), "Finite element analysis of thin-walled composite laminated beams with geometrically nonlinear behavior including warping deformation", Thin Wall. Struct., 47, 1363-1372.   DOI
14 Tsipiras V.J. and Sapountzakis E.J. (2012), "Secondary torsional moment deformation effect in inelastic nonuniform torsion of bars of doubly symmetric cross section by BEM", Int. J. Nonlin. Mech., 47, 68-84.   DOI
15 Vlasov, V.Z. (1961), Thin-walled Elastic Beams, Israel Program for Scientific Translations, Jerusalem.
16 Yoon, K. and Lee, P.S. (2014), "Nonlinear performance of continuum mechanics based beam elements focusing on large twisting behaviors", Comput. Meth. Appl. Mech. Eng., 281, 106-130.   DOI
17 Yoon, K. Lee, Y.G., Lee, P.S. (2012), "A continuum mechanics based beam finite element with warping displacements and its modeling capabilities", Struct. Eng. Mech., 43, 411-437.   DOI
18 Tsai, S.W. (1992), Theory of Composites Design, Think Composites.
19 ADINA R&D (2013), ADINA Theory and Modeling Guide, Watertown, MA: ADINA R&D.
20 Bathe, K.J. (2014), Finite Element Procedures, 2nd Edition, Watertown, MA.
21 Cortinez, V.H. and Piovan, M.T. (2006), "Stability of composite thin-walled beams with shear deformability", Comput. Struct., 84, 978-990.   DOI
22 Fatmi, R.E. and Ghazouani, N. (2011), "Higher order composite beam theory built on Saint-Venant's solution. Part-I: Theoretical developments", Compos. Struct., 93, 557-566.   DOI
23 Genoese, A., Genoese, A., Bilotta, A. and Garcea, G. (2014), "A composite beam model including variable warping effects derived from a generalized Saint Venant solution", Compos. Struct., 110, 140-151.   DOI
24 Hodges, D.H. (2006), Nonlinear Composite Beam Theory, American Institute of Aeronautics and Astronautics, Reston, Virginia