Three-dimensional thermoviscoelastic analysis of a FGM cylindrical panel using state space differential quadrature method

References

• L. Marin, “Numerical solution of the Cauchy problem for steady-state heat transfer in two dimensional functionally graded materials,” Int. J. Solids Struct., vol. 42, pp. 4338–4351, 2005.
   Web of Science ®Google Scholar
• L. Librescu, S. Y. Oh, and O. Song, “Thin-walled beams made of functionally graded materials and operating in a high temperature environment: Vibration and stability,” J. Therm. Stresses, vol. 28, pp. 649–712, 2007.
   Web of Science ®Google Scholar
• X. Wang and L. J. Sudak, “Three-dimensional analysis of multi-layered functionally graded anisotropic cylindrical panel under thermomechanical loading,” Mech. Mater., vol. 40, pp. 235–254, 2008.
   Web of Science ®Google Scholar
• A. M. Zenkour and M. Sobhy, “Thermal buckling of functionally graded plates resting on elastic foundations using the trigonometric theory,” J. Therm. Stresses, vol. 34, pp. 1119–1138, 2011.
   Web of Science ®Google Scholar
• M. Arefi, R. K. Faegh, and A. Loghman, “The effect of axially variable thermal and mechanical loads on the 2D thermoelastic response of FG cylindrical shell,” J. Therm. Stresses, vol. 39, pp. 1539–1559, 2016.
   Web of Science ®Google Scholar
• R. Lakes, Viscoelastic Materials. New York: Cambridge University Press, 2009.
   Google Scholar
• L. C. Peng and T. L. Peng, Pipe Stress Engineering. Houston, TX: ASME Press, 2009.
   Google Scholar
• N. N. Huang, “Creep deflection of viscoelastic laminated cylindrical panels with initial Deflection under axial compression,” Compos. Part B, vol. 30, pp. 145–156, 1999.
   Web of Science ®Google Scholar
• G. H. Paulino and Z. H. Jin, “Correspondence principle in viscoelastic functionally graded materials,” J. Appl. Mech., vol. 68, pp. 129–134, 2001.
   Web of Science ®Google Scholar
• R. K. Bhangale and N. Ganesan, “Thermoelastic buckling and vibration behavior of a functionally graded sandwich beam with constrained viscoelastic core,” J. Sound Vib., vol. 295, pp. 294–316, 2006.
   Web of Science ®Google Scholar
• N. H. Zhang and M. L. Wang, “Thermoviscoelastic deformations of functionally graded thin plates,” Eur. J. Mech. A/Solids, vol. 26, pp. 872–886, 2007.
   Web of Science ®Google Scholar
• A. K. Kamran and H. M. Anastasia, “A multi-scale model for coupled heat conduction and deformations of viscoelastic functionally graded materials,” Compos. Part B, vol. 40, pp. 511–521, 2009.
   Web of Science ®Google Scholar
• A. H. Muliana, “A micromechanical model for predicting thermal properties and thermo-viscoelastic responses of functionally graded materials,” Int. J. Solids Struct., vol. 46, pp. 1911–1924, 2009.
   Web of Science ®Google Scholar
• A. E. Magdy and M. A. Haitham, “Magneto-electro viscoelastic layer in functionally graded materials,” Compos. Part B, vol. 42, pp. 832–841, 2011.
   Web of Science ®Google Scholar
• M. D. Fahmy, “Generalized magneto-thermo-viscoelastic problems of rotating functionally graded anisotropic plates by the dual reciprocity boundary element method,” J. Therm. Stresses, vol. 36, pp. 284–303, 2013.
   Web of Science ®Google Scholar
• A. Alibeigloo, “Three dimensional static and free vibration analysis of laminated cylindrical panel with viscoelastic interfaces,” Compos. Mater., vol. 49, pp. 2415–2430, 2014.
   Web of Science ®Google Scholar
• A. Alibeigloo, “Effect of viscoelastic interface on three-dimensional static and vibration behavior of laminated composite plate,” Compos. Part B, vol. 75, pp. 17–28, 2015.
   Web of Science ®Google Scholar
• H. Norouzi and A. Alibeigloo, “Three dimensional thermoviscoelastic analysis of a simply supported FGM cylindrical panel,” Compos. Struct., vol. 148, pp. 181–190, 2016.
   Web of Science ®Google Scholar
• F. Durbin, “Numerical inversion of Laplace transforms: An efficient improvement to Dubner and Abate’s method,” Comput. J., vol. 17, pp. 371–376, 1974.
   Web of Science ®Google Scholar
• S. Chang, Differential Quadrature and Its Application in Engineering. London: Springer-Verlag, 2000.
   Google Scholar
• M. H. Yas and B. S. Aragh, “Three-dimensional analysis for thermoelastic response of functionally graded fiber reinforced cylindrical panel,” Compos. Struct., vol. 92, pp. 2391–2399, 2010.
   Web of Science ®Google Scholar