Closed Form Solutions for Thermal Buckling of Functionally Graded Rectangular Thin Plates
Institute of Solid Mechanics, Beihang University, Beijing 100191, China
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Author to whom correspondence should be addressed.
Appl. Sci. 2017, 7(12), 1256; https://doi.org/10.3390/app7121256
Received: 31 October 2017
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Revised: 27 November 2017
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Accepted: 30 November 2017
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Published: 3 December 2017
(This article belongs to the Special Issue Functionally Graded Material (FGM) and Functionally Graded Carbon Nanotube (FG-CNT) Reinforced Composites)
This work concerns the critical buckling temperature of functionally graded rectangular thin plates; the properties of functionally graded material vary continuously in accordance with the power law of thickness z. Closed form solutions for the critical thermal parameter are obtained for the plate with the following boundary condition combinations: simply supported, clamped and guided edges, under uniform, linear and nonlinear temperature fields via the separation-of-variable method. Furthermore, a new method is proposed to determine the critical buckling temperature from the critical thermal parameter. The present results coincide well with those in the literature, verifying the correctness of the present method. The influences of the length–thickness ratio, length–width ratio, power law index and initial temperature on critical buckling temperature are investigated.
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Keywords:
functionally graded materials; thermal buckling; rectangular thin plates; critical temperature; closed form solution
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MDPI and ACS Style
Xing, Y.; Wang, Z. Closed Form Solutions for Thermal Buckling of Functionally Graded Rectangular Thin Plates. Appl. Sci. 2017, 7, 1256. https://doi.org/10.3390/app7121256
AMA Style
Xing Y, Wang Z. Closed Form Solutions for Thermal Buckling of Functionally Graded Rectangular Thin Plates. Applied Sciences. 2017; 7(12):1256. https://doi.org/10.3390/app7121256
Chicago/Turabian StyleXing, Yufeng, and Zekun Wang. 2017. "Closed Form Solutions for Thermal Buckling of Functionally Graded Rectangular Thin Plates" Applied Sciences 7, no. 12: 1256. https://doi.org/10.3390/app7121256
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