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
|