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http://dx.doi.org/10.12989/sem.2014.51.5.727

A novel two-dimensional approach to modelling functionally graded beams resting on a soil medium  

Chegenizadeh, Amin (Department of Civil Engineering, Curtin University)
Ghadimi, Behzad (Department of Civil Engineering, Curtin University)
Nikraz, Hamid (Department of Civil Engineering, Curtin University)
Simsek, Mesut (Department of Civil Engineering, Yildiz Technical University)
Publication Information
Structural Engineering and Mechanics / v.51, no.5, 2014 , pp. 727-741 More about this Journal
Abstract
The functionally graded beam (FGB) is investigated in this study on both dynamic and static loading in case of resting on a soil medium rather than on the usual Winkler-Pasternak elastic foundation. The powerful ABAQUS software was used to model the problem applying finite element method. In the present study, two different soil models are taken into account. In the first model, the soil is assumed to be an elastic plane stress medium. In the second soil model, the Drucker-Prager yield criterion, which is one of the most well-known elastic-perfectly plastic constitutive models, is used for modelling the soil medium. The results are shown to evaluate the effects of the different soil models, stiffness values of the elastic soil medium on the normal and shear stress and free vibration properties. A comparison was made to those from the existing literature. Numerical results show that considering real soil as a continuum space affects the results of the bending and the modal properties significantly.
Keywords
functionally graded materials; beams; ABAQUS; Winkler-Pasternak; foundation; FEM; composite;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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1 Abaqus 6.10 (2010), Dassault Systemes Simulia Corp. Providence R, USA.
2 Simsek, M. (2010), "Non-linear vibration analysis of a functionally graded Timoshenko beam under action of a moving harmonic load", Compos. Struct., 92(10), 2532-2546.   DOI   ScienceOn
3 Simsek, M., Kocaturk, T. and Akbas, S.D. (2012), "Dynamic behaviour of an axially functionally graded beam under action of a moving harmonic load", Compos. Struct., 94(8), 2358-2364.   DOI   ScienceOn
4 Simsek, M. and Reddy, J.N. (2013a), "Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory", Int. J. Eng. Sci., 64, 37-53.   DOI   ScienceOn
5 Simsek, M. and Reddy, J.N. (2013b), "A unified beam theory for buckling of a functionally graded microbeam embedded in elastic medium using modified couple stress theory", Compos. Struct., 101, 47-58.   DOI   ScienceOn
6 Simsek, M., Kocaturk, T. and Akbas, S.D. (2013), "Static bending of a functionally graded microscale Timoshenko beam based on the modified couple stress theory", Compos. Struct., 95, 740-747.   DOI   ScienceOn
7 Wang, H.M., Wei, Y.K. and Xu, Z.X. (2011), "Radial vibration behaviors of cylindrical composite piezoelectric transducers integrated with functionally graded elastic layer", Struct. Eng. Mech., 38(6), 753-76.   DOI   ScienceOn
8 Yan, T., Kitipornchai, S., Yang, J. and He, X.Q. (2011), "Dynamic behaviour of edge-cracked shear deformable functionally graded beams on an elastic foundation under a moving load", Compos. Struct., 93(11), 2992-3001   DOI   ScienceOn
9 Ying, J., Lu, C.F. and Chen, W.Q. (2008), "Two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations", Compos. Struct., 84(3), 209-219.   DOI   ScienceOn
10 Alibeigloo, A. (2010), "Thermoelasticity analysis of functionally graded beam with integrated surface piezoelectric layers", Compos. Struct., 92(6), 1535-1543.   DOI   ScienceOn
11 Alshorbgy, A.E., Eltaher, M.A. and Mahmoud, F.F. (2011), "Free vibration characteristics of a functionally graded beam by finite element method", Appl. Math. Model., 35, 412-425.   DOI   ScienceOn
12 Aydogdu, M. and Taskin, V. (2007), "Free vibration analysis of functionally graded beams with simply supported edges", Mater. Des., 28, 1651-1656.   DOI   ScienceOn
13 Chakraborty, A., Gopalakrishnan, S. and Reddy, J.N. (2003), "A new beam finite element for the analysis of functionally graded materials", Int. J. Mech. Sci., 45, 519-539.   DOI   ScienceOn
14 Civalek, O. and Ozturk, B. (2010), "Free vibration analysis of tapered beam-column with pinned ends embedded in Winkler-Pasternak elastic foundation", Geomech. Eng., 2, 45-56.   DOI
15 Drucker, D.C. and Prager, W. (1952), "Soil mechanics and plastic analysis or limit design", Quart. Appl. Math., 10, 157-165.   DOI
16 Fallah, A. and Aghdam, M.M. (2011), "Nonlinear free vibration and post-buckling analysis of functionally graded beams on nonlinear elastic foundation", Euro. J. Mech./A Solid, 30, 571-583.   DOI   ScienceOn
17 Ghayesh, M.H. (2011), "Parametrically excited viscoelastic beam-spring systems: nonlinear dynamics and stability", Struct. Eng. Mech., 40(5), 705-718.   DOI
18 Zhang, L., Zhao, M.H., Xiao, Y. and Ma, B.H. (2011), "Nonlinear analysis of finite beam resting on Winkler foundation with consideration of beam-soil interface resistance effect", Struct. Eng. Mech., 38(5), 573-592.   DOI   ScienceOn
19 Khalili, S.M.R., Jafari, A.A. and Eftekhari S.A. (2010), "A mixed Ritz-DQ method for forced vibration of functionally graded beams carrying moving loads", Compos. Struct., 92, 2497-2511.   DOI   ScienceOn
20 Yu, H.S. (2006), Plasticity and Geotechnics, Springer.
21 Komijani, M., Kiani, Y., Esfahani, S.E. and Eslami, M.R. (2013), "Vibration of thermo-electrically postbuckled rectangular functionally graded piezoelectric beams", Compos. Struct., 98, 143-152.   DOI   ScienceOn
22 Sankar, B.V. (2001), "An elasticity solution for functionally graded beams", Compos. Sci. Tech., 61, 689-696.   DOI   ScienceOn
23 Simsek, M. and Kocaturk, T. (2009), "Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load", Compos. Struct., 90, 465-473.   DOI   ScienceOn
24 Mahi, A., Adda Bedia, E.A., Tounsi, A. and Mechab, I. (2010), "An analytical method for temperaturedependent free vibration analysis of functionally graded beams with general boundary conditions", Compos. Struct., 92(8), 1877-1887.   DOI   ScienceOn