Static analysis of functionally graded short beams including warping and shear deformation effects

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Static analyses of FGM beams by various theories and finite elements (2015, methodology): “Analytical approaches have been also presented in [4–8].”
Modeling and analysis of functionally graded sandwich beams: a review (2019, background): “[49] applied high-order flexural theories for short FG symmetric beams under threepoint bending.”
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).”
A new simple shear and normal deformations theory for functionally graded beams (2015, background): “…of a higher-order variation of axial displacement through the depth of the beam various higher- order shear deformation theories are also developed (Benatta et al. 2008, Kadoli et al. 2008, Sallai et al. 2009, Li et al. 2010, Mahi et al. 2011, Wattanasakulpong et al. 2011, Ould Larbi et al. 2013,…”