2014
DOI: 10.1177/1099636214548618
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Bending and free vibration analysis of functionally graded sandwich plates using the Refined Zigzag Theory

Abstract: The increasing application of functionally graded materials in the aerospace structures requires the adoption of accurate modeling strategies. The original formulation of the Refined Zigzag Theory is here extended to the bending and free vibration analysis of sandwich plates embedding functionally graded layers, either as faces or core. Extensive numerical investigation shows the superior predictive capabilities of Refined Zigzag Theory over both First-order Shear Deformation Theory and Third-order Shear Defor… Show more

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Cited by 73 publications
(38 citation statements)
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References 35 publications
(55 reference statements)
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“…Neves et al [28][29][30] used meshless methods based on some shear deformation plate theories to analyze the bending, free vibration and linear buckling behavior of isotropic and FGM sandwich plates. Also, Lurlaro et al [31] made use of a refined zigzag theory for bending and free vibration analysis of FGM sandwich plates. Recently, Tornabene et al [32] used the GDQ method basing on different higher-order shear deformation theories to investigate the recovery of through the thickness transverse normal and shear strains and stresses in FGM sandwich shell structures.…”
Section: Introductionmentioning
confidence: 99%
“…Neves et al [28][29][30] used meshless methods based on some shear deformation plate theories to analyze the bending, free vibration and linear buckling behavior of isotropic and FGM sandwich plates. Also, Lurlaro et al [31] made use of a refined zigzag theory for bending and free vibration analysis of FGM sandwich plates. Recently, Tornabene et al [32] used the GDQ method basing on different higher-order shear deformation theories to investigate the recovery of through the thickness transverse normal and shear strains and stresses in FGM sandwich shell structures.…”
Section: Introductionmentioning
confidence: 99%
“…The model postulates a piece-wise linear distribution along the thickness of the in-plane displacement components and demonstrates remarkable accuracy over a wide range of problems [4,[16][17][18][19][20][21][22] as well efficient finite element implementation [23][24][25][26][27]. The piece-wise linear kinematics of RZT lend themselves to piece-wise constant transverse-shear stresses, when obtained from the constitutive equations.…”
mentioning
confidence: 99%
“…Consequently, superior results are obtained for all response quantities, including s xz (k) , which approaches a highly accurate parabolic distribution as the number of layers increases. The zigzag function methodology just described is readily generalized for plate theory [48][49][50][51][52][53][54].…”
Section: Formulation Of Rzt (M) For Planar Beamsmentioning
confidence: 99%
“…In Ref. [54], efficient and accurate RZT solutions have been obtained for problems involving functionally graded materials. Recent efforts toward application of RZT to finite element analysis resulted in many useful and computationally efficient finite elements for beams, plates, and shells, in the regime of linear and geometrically nonlinear deformations, and for failure predictions [55][56][57][58][59][60][61][62][63][64][65][66][67][68] and inverse shape-sensing problems [69].…”
mentioning
confidence: 99%
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