Theory and Analysis of Elastic Plates and Shells

By J. Reddy. 2006

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Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory (2013, background): “The classical plate theory (CPT) that neglects the transverse normal and shear stresses is the simplest plate theory based on the kinematic assumptions known as the Kirchhoff hypothesis, in which straight lines normal to the midplane of the undeformed plate remain straight and normal to the midplane”
Longitudinal vibration analysis for microbars based on strain gradient elasticity theory (2014, background): “Also, Reddy (2007a) investigated bending, buckling and free vibration analysis of nonlocal beams for different beam theories.”
Flexible Skins for Morphing Aircraft Using Cellular Honeycomb Cores (2010, methodology): “In Equation (9), the membrane and bending stiffness are: A44 1⁄4 (2)Gyzb, A55 1⁄4 (2)Gxzb, D11 1⁄4 ðEx=1 xy yxÞ=ðb(3)=12Þ, D22 1⁄4 ðEy=1 xy yxÞ =ðb3=12Þ, D12 1⁄4 ð yxEx=1 xy yxÞ=ðb(3)=12Þ, and D66 1⁄4 Gxyðb(3)=12Þ, where is a shear correction factor (Reddy, 2007).”