AN ELASTICITY SOLUTION FOR FUNCTIONALLY GRADED BEAMS

By B. Sankar. 2001

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In Mechanics of Materials

Citations in the corpus

Free vibration of functionally graded beams and frameworks using the dynamic stiffness method (2018, methodology): “Foremost amongst these are the applications of direct analytical procedure using the governing differential equations of motion [5-19], finite element [20-22], Rayleigh-Ritz [23], finite volume [24-26], differential quadrature [27], differential transformation [27, 28] and transfer function [29, 30]”
Free Vibration Behavior of Exponential Functionally Graded Beams with Varying Cross-section (2011, background): “Many studies have been conducted on the static behaviour of FGM beams (Sankar, 2001, Sankar and Tzeng, 2002; Chakraborty et al., 2003; Zhong and Yu, 2007; Benatta et al., 2008; Bouremana et al., 2008; Kadoli et al., 2008; Sallai et al., 2009).”
Free vibration of orthotropic functionally graded beams with various end conditions (2005, methodology): “Provided that an S-S FGM beam is composed of the material with the mechanical properties dependent on the thickness coordinate in an exponential way (Sankar 2001) as described in Eq. (1), an exact solution can be derived using a method similar to that employed by Zhong and Shang (2003). Herein, it i”
Static analysis of functionally graded elastic anisotropic plates using a discrete layer approach (2006, methodology): “Sankar [18] obtained an elasticity solution for a functionally graded beam subjected to transverse loads, with the Young’s modulus of the beam varying exponentially through the thickness, and the Poisson ratio held constant.”