Buckling Analysis of Rectangular Functionally Graded Plates with an Elliptic Hole Under Thermal Loads

Subject Areas : Engineering

R Rezae ¹ (Faculty of Mechanical Engineering, University of Shahrood)
A.R Shaterzadeh ² (Faculty of Mechanical Engineering, University of Shahrood)
S Abolghasemi ³ (Faculty of Mechanical Engineering, University of Shahrood)

Received: 2014-10-21 Accepted : 2014-12-28 Published : 2015-03-30

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References:

[1] Bodaghi M., Saidi A.R., 2010, Levy-type solution for buckling analysis of thick functionally graded rectangular plates based on the higher-order shear deformation plate theory, Applied Mathematical Modelling 34: 3659-3673.
[2] Samsam Shariat B.A., Eslami M.R., 2006, Thermal buckling of imperfect functionally graded plates, International Journal of Solids and Structures 43: 4082-4096.
[3] Weibgraebera P., Mittelstedtb C., Beckera W., 2012, Buckling of composite panels: A criterion for optimum stiffener design, Aerospace Science and Technology 16(1):10-18.
[4] Zhao X., Lee Y.Y., Liew K.M., 2009, Mechanical and thermal buckling analysis of functionally graded plates, Composite Structures 90: 161-171.
[5] Ghosh M.K., Kanoria M., 2009, Analysis of thermoelastic response in a functionally graded spherically isotropic hollow sphere based on Green–Lindsay theory, Acta Mechanica 207: 51-67.
[6] Mahdavian M., 2009, Buckling analysis of simply-supported functionally graded rectangular plates under non-uniform in-plane compressive loading, Journal of Solid Mechanics 1(3):213-225.
[7] Samsam Shariat B.A., Eslami M.R., 2007, Buckling of thick functionally graded plates under mechanical and thermal loads, Composite Structures 78: 433-439.
[8] Xiang S., Kang G., 2013, A nth-order shear deformation theory for the bending analysis on the functionally graded plates, European Journal of Mechanics A/Solids 37:336-343.
[9] Mozafaria H., Ayob A., 2012, Effect of thickness variation on the mechanical buckling load in plates made of functionally graded materials, Procedia Technology 1: 496-504.
[10] Raki M., Alipour R., Kamanbedast A., 2012, Thermal buckling of thin rectangular FGM plate, World Applied Sciences Journal 16(1): 52-62.
[11] Avci A., Sahin O.S., Uyaner M., 2005, Thermal buckling of hybrid laminated composite plates with a hole, Composite Structures 68: 247-254.
[12] Zhen W., Wanji C., 2009, Stress analysis of laminated composite plates with a circular hole according to a single-layer higher-order model, Composite Structures 90: 122-129.
[13] Kiani Y., Eslami M.R., 2013, An exact solution for thermal buckling of annular FGM plates on an elastic medium, Composites: Part B 45:101-110.
[14] Thai H.T., Choi D.H., 2012, An efficient and simple refined theory for buckling analysis of functionally graded plates, Applied Mathematical Modelling 36: 1008-1022.
[15] Saji D., Varughese B., 2008, Finite element analysis for thermal buckling behaviour in functionally graded plates with cut-outs, Proceedings of the International Confrence on Aerospace Science and Technology, Bangalore India.
[16] Natarajan S., Chakraborty S., Ganapathi M., Subramanian M., 2014, A parametric study on the buckling of functionally graded material plates with internal discontinuities using the partition of unity method, European Journal of Mechanics - A/Solids 44: 136-147.
[17] Zenkour A. M., Mashat D. S., 2010, Thermal buckling analysis of ceramic-metal functionally graded plates, Natural Science 2(9):968-978.
[18] Saidi A. R., Baferani A. H., 2010, Thermal buckling analysis of moderately thick functionally graded annular sector plates, Composite Structures 92:1744-1752.
[19] Park J.S., Kim J.H., 2006, Thermal post buckling and vibration analyses of functionally graded plates, Journal of Sound and Vibration 289: 77-93.
[20] Yang J., Shen H.S., 2002, Vibration characteristics and transient response of shear-deformable functionally graded plates in thermal environments, Journal of Sound and Vibration 255:579-602.
[21] Reddy J. N., 2006, Theory and Analysis of Elastic Plates and Shells, Second edition, CRC press.
[22] Efraim E., Eisenberger M., 2007, Exact vibration analysis of variable thickness thick annular isotropic and FGM plates, Journal of Sound and Vibration 299:720-738.
[23] Logan D. L., 2010, A First Course in the Finite Element Method, Fourth edition.