Assessment of Shear Deformation Theories for Multilayered Composite Plates

Noor, Ahmed K.; Burton, W. Scott

doi:10.1115/1.3152418

Cited by 663 publications

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“…The advantages and disadvantages of the various theories were highlighted. Noor and Burton [27] presented a complete list of references of FSDTs and HSDTs for the static, free vibration and buckling analyses of laminated composites. Pagano [28] presented exact three dimensional elasticity solutions for the stress analysis of laminated composite and sandwich plates which serve as benchmark solutions for comparison by many researchers.…”

Section: Introductionmentioning

confidence: 99%

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Kant

Swaminathan

2002

Composite Structures

315

116

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Analytical formulations and solutions to the static analysis of simply supported composite and sandwich plates hitherto not reported in the literature based on a higher order refined theory developed by the first author and already reported in the literature are presented. The theoretical model presented herein incorporates laminate deformations which account for the effects of transverse shear deformation, transverse normal strain/stress and a nonlinear variation of in-plane displacements with respect to the thickness coordinate -thus modelling the warping of transverse cross-sections more accurately and eliminating the need for shear correction coefficients. In addition, a few higher order theories and the first order theory developed by other investigators and already available in the literature are also considered for the evaluation. The equations of equilibrium are obtained using principle of minimum potential energy (PMPE). Solutions are obtained in closed form using Navier's technique by solving the boundary value problem. The comparison of the present results with the available elasticity solutions and the results computed independently using the first order and the other higher order theories available in the literature shows that this refined theory predicts the transverse displacement and the stresses more accurately than all other theories considered in this paper. After establishing the accuracy of present results for composite and sandwich plates, new results for the stretching-bending coupling behaviour of antisymmetric sandwich laminates using all the theories considered in this paper are presented which will serve as a benchmark for future investigations.

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Section: Introductionmentioning

confidence: 99%

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Kant

Swaminathan

2002

Composite Structures

315

116

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“…The stiffness coefficients D 1 through D 27 appeared in governing equations (14)(15)(16)(17) and boundary conditions (18)(19)(20)(21)(22)(23)(24)(25)(26)(27) …”

Section: Appendixmentioning

confidence: 99%

“…Stein [28] has used theory using trigonometric functions for analysis of laminated beams and plates. A critical review of the plate theories has been given by Vasil'ev [29] and Noor and Burton [21]. Whereas Liew et al [15] surveyed plate theories particularly applied to thick plate vibration problems.…”

Section: Introductionmentioning

confidence: 99%

Free vibration of thick orthotropic plates using trigonometric shear deformation theory

Ghugal¹,

Sayyad²

2011

Lat. Am. j. solids struct.

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In this paper a trigonometric shear deformation theory is presented for the free vibration of thick orthotropic square and rectangular plates. In this displacement based theory the in-plane displacement field uses sinusoidal function in terms of thickness coordinate to include the shear deformation effect. The cosine function in terms of thickness coordinate is used in transverse displacement to include the effect of transverse normal strain. The most important feature of the theory is that the transverse shear stress can be obtained directly from the constitutive relations satisfying the shear stress free surface conditions on the top and bottom surfaces of the plate. Hence the theory obviates the need of shear correction factor. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. Results obtained for frequency of bending mode, shear mode and thickness stretch mode of free vibration of simply supported orthotropic square and rectangular plates are compared with those of other refined theories and exact solution from theory of elasticity wherever applicable.

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“…In addition to the weaknesses of the ESL models, it is well-know that FSDT needs ad hoc shear correction factors to yield accurate results [14,15,16,17,18]. As well-known, CLPT and FSDT perform relatively well in predicting global quantities, such as, transverse displacement, fundamental natural frequency and buckling load for thin and moderately thick laminates that have a relatively low degree of transverse heterogeneity; however, their accuracy diminishes rapidly when they are used to predict the displacement and stress fields in highly heterogeneous and/or thick composite and sandwich laminates [11,19,16,20,21]. Improved predictions can be obtained using higher order through-the-thickness expansions of the displacements and/or stresses [22].…”

Section: Introductionmentioning

confidence: 99%

First-Order Displacement-Based Zigzag Theories for Composite Laminates and Sandwich Structures: A Review

Sciuva¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Assessment of Shear Deformation Theories for Multilayered Composite Plates

Cited by 663 publications

References 0 publications

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

Free vibration of thick orthotropic plates using trigonometric shear deformation theory

First-Order Displacement-Based Zigzag Theories for Composite Laminates and Sandwich Structures: A Review

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