[1]
|
M. Koizumi, “The Concept of FGM,” Ceramic Transactions, Functionally Gradient Materials, Vol. 34, 1993, pp. 3-10.
|
[2]
|
B. Kieback, A. Neubrand and H. Riedel, “Processing techniques for Functionally Graded Materials,” Materials Science and Engineering A, Structural Materials: Properties, Microstructure and Processing, Vol. 362, No. 1-2, 2003, pp. 81-105.
|
[3]
|
V. Birman, “Buckling of Functionally Graded Hybrid Composite Plates,” Proceedings of the 10th Conference on Engineering Mechanics, Boulder, USA, 1995.
|
[4]
|
J. N. Reddy and C. D. Chin, “Thermomechanical Analysis of Functionally Graded Cylinders and Plates,” Journal of Thermal Stresses, Vol. 21, 1998, pp. 593-602.
|
[5]
|
T. Y. Ng, K. Y. Lam, K. M. Liew and J. N. Reddy, “Dynamic Stability Analysis of Functionally Graded Cylindrical Shells under Periodic Axial Loading,” International Journal of Solids Structures, Vol. 38, No. 8, 2001, pp. 1295-1309.
|
[6]
|
A. H. Sofiyev, “Dynamic Buckling of Functionally Graded Cylindrical Shells under Non-periodic Impulsive Loading,” Acta Mechanica, Vol. 165, No. 3-4, 2003, pp. 153-162.
|
[7]
|
H. S. Shen and N. Noda, “Post-buckling of FGM Cylindrical Shell under Combined Axial and Radial Mechanical Loads in Thermal Environments,” International Journal of Solids Structures, Vol. 42, No. 16, 2005, pp. 4641- 4662.
|
[8]
|
H. S. Shen, “Functionally Graded Materials: Nonlinear Analysis of Plates and Shells,” CRC Press, Boca Raton, 2009.
|
[9]
|
S. Pitakthapanaphong and E. P. Busso, “Self-consistent elasto-plastic Stress Solutions for Functionally Graded Material Systems Subjected to Thermal Transients,” Journal of Mechanics and Physics of Solids, Vol. 50, No. 4, 2002, pp. 695-716.
|
[10]
|
K. S. Na and J. H. Kim, “Three-dimensional Thermo- mechanical Buckling Analysis for Functionally Graded Composite Plates,” Composite Structures, Vol. 73, No. 4, 2006, pp. 413-422.
|
[11]
|
K. M. Liew, J. Yang and Y. F. Wu, “Nonlinear Vibration of a Coating-FGM-substrate Cylindrical Panel Subjected to a Temperature Gradient,” Computer Methods in Applied Mechanics and Engineering, Vol. 195, No. 9-12, 2006, pp. 1007-1026.
|
[12]
|
S. R. Lia and R. C. Batra, “Buckling of Axially Compressed Thin Cylindrical Shells with Functionally Graded Middle Layer,” Thin Walled Structures, Vol. 44, No. 10, 2006, pp. 1039-1047.
|
[13]
|
A. H. Sofiyev, A. Deniz, I. H. Akcay and E. Yusufoglu, “The Vibration and Stability of a Three-layered Conical Shell Containing a FGM Layer Subjected to Axial Compressive Load,” Acta Mechanica, Vol. 183, No. 3-4, 2006, pp. 129-144.
|
[14]
|
A. H. Sofiyev, “Vibration and Stability of Composite Cylindrical Shells Containing a FG Layer Subjected to Various Loads,” Structural Engineering and Mechanics
an International Journal, Vol. 27, No. 3, 2007, pp. 365- 391.
|
[15]
|
P. L. Pasternak, “On a New Method of Analysis of an Elastic Foundation by Means of Two Foundation Constants,” Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu I Arkhitekture, Moscow, 1954.
|
[16]
|
V. A. Bajenov, “The Bending of the Cylindrical Shells in an Elastic Medium,” Visha Shkola, Kiev, 1975.
|
[17]
|
D. N. Paliwal, R. K. Pandey and T. Nath, “Free Vibration of Circular Cylindrical Shell on Winkler and Pasternak Foundation,” International Journal of Pressure Vessels and Piping, Vol. 69, 1996, pp. 79-89.
|
[18]
|
T. Y. Ng and K. Y. Lam, “Free Vibrations Analysis of Rotating Circular Cylindrical Shells on an Elastic Foundation,” Journal of Vibration and Acoustics, Vol. 122, No. 1, 2000, pp. 85-89.
|
[19]
|
H. G. Tj, T. Mikami, S. Kanie and M. Sato, “Free Vibration Characteristics of Cylindrical Shells Partially Buried in Elastic Foundations,” Journal of Sound and Vibration, Vol. 290, No. 3, 2006, pp. 785-793.
|
[20]
|
A. H. Sofiyev, S. N. Keskin and Al. H. Sofiyev, “Effects of Elastic Foundation on the Vibration of Laminated Non- homogeneous Orthotropic Circular Cylindrical Shells,” Journal of Shock and Vibration, Vol. 11, 2004, pp. 89-101.
|
[21]
|
Z. Q. Cheng and S. Kitipornchai, “Membrane Analogy of Buckling and Vibration of Inhomogeneous Plates,” Journal of Engineering Mechanics–ASCE, Vol. 125, No. 11, 1999, pp. 1293-1297.
|
[22]
|
Z. Y. Huang, C. F. Lu and W. Q. Chen, “Benchmark Solutions for Functionally Graded Thick Plates Resting on Winkler–Pasternak Elastic Foundations,” Composite Structures, Vol. 85, No. 2, 2008, pp. 95-104.
|
[23]
|
P. Malekzadeh, “Three-dimensional Free Vibration Analysis of Thick Functionally Graded Plates on Elastic Foundations,” Composite Structures, Vol. 89, No. 3, 2009, pp. 367-373.
|
[24]
|
V. L. Agamirov, “Dynamic problems of nonlinear shells theory”, Nauka, Moscow, 1990.
|
[25]
|
R. M. Jones and H. S. Morgan, “Buckling and Vibration of Cross-ply Laminated Circular Cylindrical Shells,” American Institute of Aeronautics and Astronautics Journal, Vol. 13, No. 5, 1975, pp. 664-671.
|