Shear Deformation Plate and Shell Theories: From Stavsky to Present

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Exact Solutions for Free Vibrations of Functionally Graded Thick Plates on Elastic Foundations (2009, background): “hk plate theories, such as the classical plate theory [4], Reissner’s plate theory [5], and Reddy’s third-order theory [6, 7], which are originally proposed for homogeneous materials.”
Large deformation analysis of functionally graded shells (2007, background): “Previous works of the authors using tensor-oriented finite element formulations for linear analysis of laminated shells can be found in Arciniega and Reddy (2005), and Reddy and Arciniega (2004).”
Non-linear vibrations of shells: A literature review from 2003 to 2013 (2014, background): “Moreover, linear shear deformable and zigzag (layer wise constant shear angle) theories have been profoundly reviewed by Carrera [15,16] and Reddy and Arciniega [17].”