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http://dx.doi.org/10.12989/csm.2018.7.6.691

Nonlinear thermal displacements of laminated composite beams  

Akbas, Seref D. (Department of Civil Engineering, Bursa Technical University)
Publication Information
Coupled systems mechanics / v.7, no.6, 2018 , pp. 691-705 More about this Journal
Abstract
In this paper, nonlinear displacements of laminated composite beams are investigated under non-uniform temperature rising with temperature dependent physical properties. Total Lagrangian approach is used in conjunction with the Timoshenko beam theory for nonlinear kinematic model. Material properties of the laminated composite beam are temperature dependent. In the solution of the nonlinear problem, incremental displacement-based finite element method is used with Newton-Raphson iteration method. The distinctive feature of this study is nonlinear thermal analysis of Timoshenko Laminated beams full geometric non-linearity and by using finite element method. In this study, the differences between temperature dependent and independent physical properties are investigated for laminated composite beams for nonlinear case. Effects of fiber orientation angles, the stacking sequence of laminates and temperature on the nonlinear displacements are examined and discussed in detail.
Keywords
composite laminated beams; thermal nonlinear analysis; Timoshenko beam theory; total Lagragian; Finite Element Method; temperature dependent physical properties;
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Times Cited By KSCI : 15  (Citation Analysis)
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1 Akbas, S.D. (2015c), "Large deflection analysis of edge cracked simple supported beams", Struct. Eng. Mech., 54(3), 433-451.   DOI
2 Akbas, S.D. and Kocaturk, T. (2013), "Post-buckling analysis of functionally graded three-dimensional beams under the influence of temperature", J. Therm. Stress., 36(12), 1233-1254.   DOI
3 Akbas, S.D. (2013), "Geometrically nonlinear static analysis of edge cracked Timoshenko beams composed of functionally graded material", Math. Prob. Eng., 14.
4 Akbas, S.D. (2014), "Large post-buckling behaviour of Timoshenko beams under axial compression loads", Struct. Eng. Mech., 51(6), 955-971.   DOI
5 Akbas, S.D. (2015a), "On post-buckling behavior of edge cracked functionally graded beams under axial loads", Int. J. Struct. Stab. Dyn., 15(4), 1450065.   DOI
6 Akbas, S.D. (2015b), "Post-buckling analysis of axially functionally graded three dimensional beams", Int. J. Appl. Mech., 7(3),1550047.   DOI
7 Akbas, S.D. (2017), "Post-buckling responses of functionally graded beams with porosities", Steel Compos. Struct., 24(5), 579-589.   DOI
8 Akbas, S.D. (2018a), "Post-buckling responses of a laminated composite beam", Steel Compos. Struct., 26(6), 733-743.   DOI
9 Akbas, S.D. (2018b), "Geometrically nonlinear analysis of a laminated composite beam", Struct. Eng. Mech., 66(1), 27-36.   DOI
10 Akbas S.D. (2018c), "Large deflection analysis of a fiber reinforced composite beam", Steel Compos. Struct., 27(5), 567-576.   DOI
11 Akbas, S.D. (2018d), "Thermal post-buckling analysis of a laminated composite beam", Struct. Eng. Mech., 67(4), 337-346.   DOI
12 Chen, WJ. and Li, X.P. (2013) "Size-dependent free vibration analysis of composite laminated Timoshenko beam based on new modified couple stress theory", Arch. Appl. Mech., 83, 431-444.   DOI
13 Akgoz, B. and Civalek, O. (2011), "Nonlinear vibration analysis of laminated plates resting on nonlinear two-parameters elastic foundations", Steel Compos. Struct., 11(5), 403-421.   DOI
14 Baltacioglu, A.K., Akgoz, B. and Civalek, O. (2010) "Nonlinear static response of laminated composite plates by discrete singular convolution method", Compos. Struct., 93, 153-161.   DOI
15 Baltacioglu, A.K., Civalek, O., Akgoz, B. and Demir, F. (2011) "Large deflection analysis of laminated composite plates resting on nonlinear elastic foundations by the method of discrete singular convolution", Int. J. Press. Vess. Pip., 88, 290-300.   DOI
16 Benselama, K., El Meiche, N., Bedia, E.A.A. and Tounsi, A. (2015), "Buckling analysis in hybrid cross-ply composite laminates on elastic foundation using the two variable refined plate theory", Struct. Eng. Mech., 55(1), 47-64.   DOI
17 Cardosov, JB., Benedito, N.M. and Valido, A.J. (2009), "Finite element analysis of thin-walled composite laminated beams with geometrically nonlinear behavior including warping deformation", Thin-Wall. Struct., 47(11), 1363-1372.   DOI
18 Civalek, O. (2006) "The determination of frequencies of laminated conical shells via the discrete singular convolution method", J. Mech. Mater. Struct., 1, 163-182.   DOI
19 Civalek, O. (2008) "Analysis of thick rectangular plates with symmetric cross-ply laminates based on first order shear deformation theory", J. Compos. Mater., 42, 2853-2867.   DOI
20 Civalek, O. (2013), "Nonlinear dynamic response of laminated plates resting on nonlinear elastic foundations by the discrete singular convolution-differential quadrature coupled approaches", Compos. Part B: Eng., 50, 171-179.   DOI
21 Donthireddy, P. and Chandrashekhara, K. (1997), "Nonlinear thermomechanical analysis of laminated composite beams", Adv. Compos. Mater., 6(2), 153-166.   DOI
22 Civalek, O. and Demir, C. (2016) "A simple mathematical model of microtubules surrounded by an elastic matrix by nonlocal finite element method", Appl. Math. Comput., 289, 335-352.
23 Cunedioglu, Y. and Beylergil, B. (2014), "Free vibration analysis of laminated composite beam under room and high temperatures", Struct. Eng. Mech., 51(1), 111-130.   DOI
24 Di Sciuva, M. and Icardi, U. (1995), "Large deflection of adaptive multilayered Timoshenko beams", Compos. Struct., 31(1), 49-60.   DOI
25 Ebrahimi, F. and Hosseini, S.H.S. (2017), "Surface effects on nonlinear dynamics of NEMS consisting of double-layered viscoelastic nanoplates", Eur. Phys. J. Plus, 132(4), 172.   DOI
26 Emam, S.A. and Nayfeh, A.H. (2009), "Postbuckling and free vibrations of composite beams", Compos. Struct., 88(4), 636-642.   DOI
27 Fraternali, F. and Bilotti, G. (1997), "Nonlinear elastic stress analysis in curved composite beams", Comput. Struct., 62(5), 837-859.   DOI
28 Ganapathi, M., Patel, B.P., Saravanan, J. and Touratier, M. (1998), "Application of spline element for largeamplitude free vibrations of laminated orthotropic straight/curved beams", Compos. Part B: Eng., 29(1), 1-8.   DOI
29 Ghazavi, A. and Gordaninejad, F. (1989), "Nonlinear bending of thick beams laminated from bimodular composite materials", Compos. Sci. Technol., 36(4), 289-298.   DOI
30 Gurses, M., Civalek, O., Korkmaz, A. and Ersoy, H. (2009) "Free vibration analysis of symmetric laminated skew plates by discrete singular convolution technique based on first-order shear deformation theory", Int. J. Numer. Meth. Eng., 79(3), 290-313.   DOI
31 Latifi, M., Kharazi, M. and Ovesy, H.R. (2016), "Nonlinear dynamic response of symmetric laminated composite beams under combined in-plane and lateral loadings using full layerwise theory", Thin-Wall. Struct., 104, 62-70.   DOI
32 Kocaturk, T. and Akbas, S.D. (2012), "Post-buckling analysis of Timoshenko beams made of functionally graded material under thermal loading", Struct. Eng. Mech., 41(6), 775-789.   DOI
33 Kocaturk, T. and Akbas, S.D. (2013), "Thermal post-buckling analysis of functionally graded beams with temperature-dependent physical properties", Steel Compos. Struct., 15(5), 481-505.   DOI
34 Kurtaran, H. (2015), "Geometrically nonlinear transient analysis of thick deep composite curved beams with generalized differential quadrature method", Compos. Struct., 128, 241-250.   DOI
35 Li, Z.M. and Qiao, P. (2015), "Buckling and postbuckling behavior of shear deformable anisotropic laminated beams with initial geometric imperfections subjected to axial compression", Eng. Struct., 85, 277-292.   DOI
36 Li, Z.M. and Yang, D.Q. (2016), "Thermal postbuckling analysis of anisotropic laminated beams with tubular cross-section based on higher-order theory", Ocean Eng., 115, 93-106.   DOI
37 Liu, Y. and Shu, D.W. (2015), "Effects of edge crack on the vibration characteristics of delaminated beams", Struct. Eng. Mech., 53(4), 767-780.   DOI
38 Loja, M.A.R., Barbosa, J.I. and Soares, C.M.M. (2001), "Static and dynamic behaviour of laminated composite beams", Int. J. Struct. Stab. Dyn., 1(4), 545-560.   DOI
39 Machado, S.P. (2007), "Geometrically non-linear approximations on stability and free vibration of composite beams", Eng. Struct., 29(12), 3567-3578.   DOI
40 Malekzadeh, P. and Vosoughi, A.R. (2009), "DQM large amplitude vibration of composite beams on nonlinear elastic foundations with restrained edges", Commun. Nonlin. Sci. Numer. Simulat., 14(3), 906-915.   DOI
41 Oliveira, B.F. and Creus, G.J. (2003), "Nonlinear viscoelastic analysis of thin-walled beams in composite material", Thin-Wall. Struct., 41(10), 957-971.   DOI
42 Mercan, K. and Civalek, O. (2016), "DSC method for buckling analysis of boron nitride nanotube (BNNT) surrounded by an elastic matrix", Compos. Struct., 143, 300-309.   DOI
43 Mororo, L.A.T., Melo, A.M.C.D. and Parente Junior, E. (2015), "Geometrically nonlinear analysis of thinwalled laminated composite beams", Lat. Am. J. Sol. Struct., 12(11), 2094-2117.   DOI
44 Oh, I.K., Han, J.H. and Lee, I. (2000), "Postbuckling and vibration characteristics of piezolaminated composite plate subject to thermo-piezoelectric loads", J. Sound Vibr., 233(1), 19-40.   DOI
45 Pagani, A. and Carrera, E. (2017), "Large-deflection and post-buckling analyses of laminated composite beams by Carrera Unified Formulation", Compos. Struct., 170, 40-52.   DOI
46 Pai, P.F. and Nayfeh, A.H. (1992), "A nonlinear composite beam theory", Nonlin. Dyn., 3(4), 273-303.   DOI
47 Patel, B.P., Ganapathi, M. and Touratier, M. (1999), "Nonlinear free flexural vibrations/post-buckling analysis of laminated orthotropic beams/columns on a two parameter elastic foundation", Compos. Struct., 46(2), 189-196.   DOI
48 Shen, H.S., Chen, X. and Huang, X.L. (2016), "Nonlinear bending and thermal postbuckling of functionally graded fiber reinforced composite laminated beams with piezoelectric fiber reinforced composite actuators", Compos. Part B: Eng., 90, 326-335.   DOI
49 Patel, S.N. (2014), "Nonlinear bending analysis of laminated composite stiffened plates", Steel Compos. Struct., 17(6), 867-890.   DOI
50 Shen, H.S. (2001), "Thermal postbuckling behavior of imperfect shear deformable laminated plates with temperature-dependent properties", Comput. Meth. Appl. Mech. Eng., 190, 5377-5390.   DOI
51 Valido, A.J. and Cardoso, J.B. (2003), "Geometrically nonlinear composite beam structures: design sensitivity analysis", Eng. Optim., 35(5), 531-551.   DOI
52 Singh, G., Rao, G.V. and Iyengar, N.G.R. (1992), "Nonlinear bending of thin and thick unsymmetrically laminated composite beams using refined finite element model", Comput. Struct., 42(4), 471-479.   DOI
53 Stoykov, S. and Margenov, S. (2014), "Nonlinear vibrations of 3D laminated composite beams", Math. Probl. Eng.
54 Topal, U. (2017), "Buckling load optimization of laminated composite stepped columns", Struct. Eng. Mech., 62(1), 107-111.   DOI
55 Vinson, J.R. and Sierakowski, R.L. (2002), The behavior of Structures Composed of Composite Materials, Kluwer Academic Publishers, the Netherlands.
56 Wang, X., Lu, G. and Xiao, D.G. (2002), "Non-linear thermal buckling for local delamination near the surface of laminated cylindrical shell", Int. J. Mech. Sci., 44(5), 947-965.   DOI
57 Shen, H.S., Lin, F. and Xiang, Y. (2017), "Nonlinear bending and thermal postbuckling of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations", Eng. Struct., 140, 89-97.   DOI
58 Youzera, H., Meftah, S.A., Challamel, N. and Tounsi, A. (2012), "Nonlinear damping and forced vibration analysis of laminated composite beams", Compos. Part B: Eng., 43(3), 1147-1154.   DOI