1 |
Yang, J. and Shen, H.S. (2003), "Non-linear analysis of functionally graded plates under transverse and inplane loads", Int. J. Nonlin. Mech., 38(4), 467-482.
DOI
ScienceOn
|
2 |
Vel, S.S. and Batra, R.C. (2002), "Exact solution for thermoelastic deformations of functionally graded thick rectangular plates", AIAA J., 40(7), 1421-1433.
DOI
ScienceOn
|
3 |
Yas, M.H. and Tahouneh, V. (2012), "3-D free vibration analysis of thick functionally graded annular plates on Pasternak elastic foundation via differential quadrature method (DQM)", Acta Mech., 223(1), 43-62.
DOI
ScienceOn
|
4 |
Zhou, D., Cheung, Y.K., Lo, S.H. and Au, F.T.K. (2004), "Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation", Int. J. Numer. Method. Eng., 59(10), 1313-1334.
DOI
ScienceOn
|
5 |
Zhou, D., Lo, S.H. and Cheung, Y.K. (2009), "3-D vibration analysis of annular sector plates using the Chebyshev-Ritz method", J. Sound Vib., 320(1-2), 421-437.
DOI
ScienceOn
|
6 |
Zhou, D., Lo, S.H., Au, F.T.K. and Cheung, Y.K. (2006), "Three-dimensional free vibration of thick circular plates on Pasternak foundation", J. Sound Vib., 292(3-5), 726-741.
DOI
ScienceOn
|
7 |
Tahouneh, V. and Yas, M.H. (2012), "3-D free vibration analysis of thick functionally graded annular sector plates on Pasternak elastic foundation via 2-D differential quadrature method", Acta Mech., 223(9), 1879-1897.
DOI
|
8 |
Shu, C. and Wang C.M. (1999), "Treatment of mixed and non-uniform boundary conditions in GDQ vibration analysis of rectangular plates", Eng. Struct., 21(2), 125-134.
DOI
ScienceOn
|
9 |
Srinivasan, R.S. and Thiruvenkatachari, V. (1983), "Free vibration of annular sector plates by an integral equation technique", J. Sound Vib., 89(3), 425-432.
DOI
ScienceOn
|
10 |
Srinivasan, R.S. and Thiruvenkatachari, V. (1986), "Free vibration analysis of laminated annular sector plates", J. Sound Vib., 109(1), 89-96.
DOI
ScienceOn
|
11 |
Mori, T. and Tanaka, K. (1973), "Average stress in matrix and average elastic energy of materials with misfitting inclusions", Acta Metall., 21(5), 571-574.
DOI
ScienceOn
|
12 |
Tahouneh, V. and Yas, M.H. (2013), "Influence of equivalent continuum model based on the Eshelby-Mori-Tanaka scheme on the vibrational response of elastically supported thick continuously graded carbon nanotube-reinforced annular plates", Polym. Compos., DOI:10.1002/pc.22818.
DOI
ScienceOn
|
13 |
Valery, V., Vasiliev E. and Morozov, V. (2001), Mechanics and Analysis of Composite Materials, First Edition, Elsevier Science Ltd.
|
14 |
Nie, G.J. and Zhong, Z. (2008), "Vibration analysis of functionally graded annular sectorial plates with simply supported radial edges", Compos. Struct., 84(2), 167-176.
DOI
ScienceOn
|
15 |
Mukhopadhyay, M. (1979), "A semi-analytic solution for free vibration of annular sector plates", J. Sound Vib., 63(1), 87-95.
DOI
ScienceOn
|
16 |
Mukhopadhyay, M. (1982), "Free vibration of annular sector plates with edges, possessing different degrees of rotational restraints", J. Sound Vib., 80(2), 275-279.
DOI
ScienceOn
|
17 |
Nie, G.J. and Zhong, Z. (2010), "Dynamic analysis of multi-directional functionally graded annular plates", Appl. Math. Modell., 34(3), 608-616.
DOI
ScienceOn
|
18 |
Pelletier Jacob, L. and Vel Senthil, S. (2006), "An exact solution for the steady state thermo- elastic response of functionally graded orthotropic cylindrical shells", Int. J. Solid Struct., 43(5), 1131-1158.
DOI
ScienceOn
|
19 |
Shen, H.S. (2009), "A comparison of buckling and post buckling behavior of FGM plates with piezoelectric fiber reinforced composite actuators", Compos. Struct., 91(3), 375-384.
DOI
ScienceOn
|
20 |
Kim, C.S. and Dickinson, S.M. (1989), "On the free, transverse vibration of annular and circular, thin, sectorial plates subjected to certain complicating effects", J. Sound Vib., 134(3), 407-421.
DOI
ScienceOn
|
21 |
Hosseini-Hashemi, S., Rokni Damavandi Taher, H. and Akhavan, H. (2010b), "Vibration analysis of radially FGM sectorial plates of variable thickness on elastic foundations", Compos. Struct., 92(7), 1734-1743.
DOI
ScienceOn
|
22 |
Houmat, A. (2004), "Three-dimensional hierarchical finite element free vibration analysis of annular sector plates", J. Sound Vib., 276(1-2), 181-193.
DOI
ScienceOn
|
23 |
Liew, K.M., Ng, T.Y. and Wang, B.P. (2001), "Vibration of annular sector plates from three-dimensional analysis", J. Acoust. Soc. Am., 110(1), 233-242.
DOI
ScienceOn
|
24 |
Lu, C.F., Chen, W.Q., Xu, R.Q. and Lim, C.W. (2008), "Semi-analytical elasticity solutions for bi-directional functionally graded beams", Int. J. Solid. Struct., 45(1) 258-275.
|
25 |
Lu, C.F., Lim, C.W. and Chen, W.Q. (2009), "Semi-analytical analysis for multi-directional functionally graded plates: 3-D elasticity solutions", Int. J. Num. Meth. Eng., 79(1), 25-44.
DOI
ScienceOn
|
26 |
McGee, O.G., Huang, C.S. and Leissa, A.W. (1995), "Comprehensive exact solutions for free vibrations of thick annular sectorial plates with simply supported radial edges", Int. J. Mech. Sci., 37(5), 537-566.
DOI
ScienceOn
|
27 |
Benveniste, Y. (1987), "A new approach to the application of Mori-Tanaka's theory of composite materials", Mech. Mater., 6(2), 147-157.
DOI
ScienceOn
|
28 |
Bert, C.W. and Malik, M. (1996), "Differential quadrature method in computational mechanics, a review", Appl. Mech. Rev., 49(1), 1-28.
DOI
ScienceOn
|
29 |
Cheng, Z.Q. and Kitipornchai, S. (1999), "Membrane analogy of buckling and vibration of inhomogeneous plates", J. Eng. Mech., 125(11), 1293-1297.
DOI
|
30 |
Cheng, Z.Q. and Batra, R.C. (2000), "Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates", J. Sound Vib., 229(4), 879-895.
DOI
ScienceOn
|
31 |
Liew, K.M. and Lam, K.Y. (1993), "On the use of 2-d orthogonal polynomials in the Rayleigh-Ritz method for flexural vibration of annular sector plates of arbitrary shape", Int. J. Mech. Sci., 35(2), 129-139.
DOI
ScienceOn
|
32 |
Yang, J. and Shen, H.S. (2001), "Dynamic response of initially stressed functionally graded rectangular thin plates", Compos. Struct., 54(4), 497-508.
DOI
ScienceOn
|
33 |
Hosseini-Hashemi, S., Akhavan, H., Rokni Damavandi Taher, H., Daemi, N. and Alibeigloo, A. (2010a), "Differential quadrature analysis of functionally graded circular and annular sector plates on elastic foundation", Mater. Des., 31(4), 1871-1880.
DOI
ScienceOn
|
34 |
Vel, S.S. (2010), "Exact elasticity solution for the vibration of functionally graded anisotropic cylindrical shells", Compos. Struct., 92(11), 2712-2727.
DOI
ScienceOn
|
35 |
Ramakris, R. and Kunukkas, V.X. (1973), "Free vibration of annular sector plates", J. Sound Vib., 30(1), 127-129.
DOI
ScienceOn
|