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Large Deflection Analysis of Bimodular Functionally Graded Truncated Thin Conical Shells Under Mechanical and Thermal Loads. [PDF]
He XT, Luo MW, Feng HH, Sun JY.
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Experimental investigation and analytical verification of buckling of functionally graded carbon nanotube-reinforced sandwich beams. [PDF]
Madenci E +9 more
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2021
The objective of this chapter is to present the various analytical solutions for FGM beams based on the two-dimensional theory of elasticity. Solutions for the FGM beams were obtained by applying the displacement method (Sect. 4.1), the displacement function method (Sect. 4.2), the stress function method (Sect. 4.3), and the state space method (Sect. 4.
Zheng Zhong, Guojun Nie
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The objective of this chapter is to present the various analytical solutions for FGM beams based on the two-dimensional theory of elasticity. Solutions for the FGM beams were obtained by applying the displacement method (Sect. 4.1), the displacement function method (Sect. 4.2), the stress function method (Sect. 4.3), and the state space method (Sect. 4.
Zheng Zhong, Guojun Nie
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Thermal Stresses in Functionally Graded Beams
AIAA Journal, 2002Thermoelastic equilibrium equations for a functionally graded beam are solved in closed-form to obtain the axial stress distribution. The thermoelastic constants of the beam and the temperature were assumed to vary exponentially through the thickness. The Poisson ratio was held constant.
B. V. Sankar, J. T. Tzeng
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Vibration Analysis of Functionally Graded Timoshenko Beams
International Journal of Structural Stability and Dynamics, 2018The vibration behavior of a functionally graded Timoshenko beam is investigated by applying the transformed-section method. The material properties of a functionally graded (FG) beam are assumed to vary across the thickness according to a simple power law. The cross section of FG beam with two constituents is first transformed into an equivalent cross
Chen, WR (Chen, Wei-Ren) +1 more
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Analysis of Functionally Graded Beam
INROADS- An International Journal of Jaipur National University, 2018In this paper, static analysis of FGM (functionally graded material) beam is carried out under the framework of Euler–Bernoulli beam theory. Axial stress distribution has been determined for a simply supported FGM beam made of Aluminium and Zirconia. The material properties of FGM are assumed to vary through the thickness, whereas Poisson ratio is held
Kanishk Sharma, null Ramji, Satyam Tyagi
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Coupled Thermoelasticity of Functionally Graded Beams
Journal of Thermal Stresses, 2008This paper presents the finite element solution of an Euler–Bernoulli beam with functionally graded material (FGM) subjected to lateral thermal shock loads. The FGM beam is assumed to be graded across the thickness. The material properties across the thickness direction follow the volume fraction of the constitutive materials in power law form.
M. H. Babaei, M. Abbasi, M. R. Eslami
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Vibrations of Functionally Graded Timoshenko Beams
2014Consider an axially graded Timoshenko beam of length L with a variable cross-section subjected to a constant compressive load P.
Ülo Lepik, Helle Hein
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