Theory of Sandwich Plates and Shells with an Transversely Compressible Core – Theory Two

Many review articles were published on free vibration and buckling of laminated composites, sandwich plates, and shells. The present article reviews the literature on the buckling and free vibration analysis of shear deformable isotropic and laminated composite sandwich plates and shells using various methods available for plates in the past few decades. Various theories, finite element modeling, and experimentations have been reported for the analysis of sandwich plates and shells. Few papers on functionally graded material plates, plates with smart skin (electrorheological, magnetorheological, and piezoelectric), and also viscoelastic materials were also reviewed. The scope for future research on sandwich plates and shells was also accessed.

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Methods of finite element analysis of arbitrary buckling forms of sandwich plates and shells

Mechanics of Composite Materials ◽

10.1007/bf02262806 ◽

2000 ◽

Vol 36 (4) ◽

pp. 277-286 ◽

Cited By ~ 3

Author(s):

V. N. Paimushin ◽

A. I. Golovanov ◽

S. N. Bobrov

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Sandwich Plates ◽

Element Analysis ◽

Sandwich Plates And Shells ◽

Plates And Shells

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Free Vibration of Sandwich Plates and Shells by Using Zig-Zag Function

Shock and Vibration ◽

10.1155/2009/573674 ◽

2009 ◽

Vol 16 (5) ◽

pp. 495-503 ◽

Cited By ~ 19

Author(s):

S. Brischetto ◽

E. Carrera ◽

L. Demasi

Keyword(s):

Free Vibration ◽

Free Vibration Analysis ◽

Sandwich Plates ◽

Vibration Modes ◽

Fundamental Vibration ◽

First Derivative ◽

The Core ◽

Sandwich Plates And Shells ◽

Plates And Shells ◽

Free Vibration Response

This paper analyses the free vibration response of sandwich curved and flat panels by introducing the zig-zag function (—1)kζk(ZZF) in the displacement models of classical and higher order two-dimensional shell theories. The main advantage of ZZF is the introduction of a discontinuity in the first derivative, zig-zag effect, of the displacements distribution with correspondence to the core/faces interfaces. Results including and discarding ZZF are compared. Several values of face-to-core stiffness ratio (FCSR) and geometrical plate/shell parameters have been analyzed. Both fundamental vibration modes and those corresponding to high wave numbers are considered in the analysis. It is concluded that: (1) ZZF is highly recommended in the free vibration analysis of sandwich plates and shells; (2) the use of ZZF makes the error almost independent by FCSR parameter; (3) ZZF is easy to implement and its use should be preferred with respect to other `more cumbersome' refined theories.

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Computational Models for Sandwich Panels and Shells

Applied Mechanics Reviews ◽

10.1115/1.3101923 ◽

1996 ◽

Vol 49 (3) ◽

pp. 155-199 ◽

Cited By ~ 537

Author(s):

Ahmed K. Noor ◽

W. Scott Burton ◽

Charles W. Bert

Keyword(s):

Computational Models ◽

Experimental Studies ◽

Three Dimensional ◽

Local Buckling ◽

Sandwich Panels ◽

Free Vibrations ◽

Sandwich Plates ◽

Material Parameters ◽

Sandwich Plates And Shells ◽

Plates And Shells

The focus of this review is on the hierarchy of computational models for sandwich plates and shells, predictor-corrector procedures, and the sensitivity of the sandwich response to variations in the different geometric and material parameters. The literature reviewed is devoted to the following application areas: heat transfer problems; thermal and mechanical stresses (including boundary layer and edge stresses); free vibrations and damping; transient dynamic response; bifurcation buckling, local buckling, face-sheet wrinkling and core crimping; large deflection and postbuckling problems; effects of discontinuities (eg, cutouts and stiffeners), and geometric changes (eg, tapered thickness); damage and failure of sandwich structures; experimental studies; optimization and design studies. Over 800 relevant references are cited in this review, and another 559 references are included in a supplemental bibliography for completeness. Extensive numerical results are presented for thermally stressed sandwich panels with composite face sheets showing the effects of variation in their geometric and material parameters on the accuracy of the free vibration response, and the sensitivity coefficients predicted by eight different modeling approaches (based on two-dimensional theories). The standard of comparison is taken to be the analytic three-dimensional thermoelasticity solutions. Some future directions for research on the modeling of sandwich plates and shells are outlined.

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Computational Development of a 4-Unknowns Trigonometric Quasi-3D Shear Deformation Theory to Study Advanced Sandwich Plates and Shells

International Journal of Applied Mechanics ◽

10.1142/s1758825116500496 ◽

2016 ◽

Vol 08 (04) ◽

pp. 1650049 ◽

Cited By ~ 6

Author(s):

J. L. Mantari

Keyword(s):

Boundary Conditions ◽

Shear Deformation ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Functionally Graded ◽

Sandwich Plates ◽

Sandwich Plates And Shells ◽

Plates And Shells ◽

First Time ◽

Stretching Effect

In this paper, a simple and accurate sinusoidal trigonometric theory (STT) for the bending analysis of functionally graded single-layer and sandwich plates and shells is presented for the first time. The principal feature of this theory is that models the thickness stretching effect with only 4-unknowns, even less than the first order shear deformation theory (FSDT) which as it is well-known has 5-unknowns. The governing equations and boundary conditions are derived by employing the principle of virtual work. Then, a Navier-type closed-form solution is obtained for functionally graded plates and shells subjected to bi-sinusoidal load for simply supported boundary conditions. Consequently, numerical results of the present STT are compared with other refined theories, FSDT, and 3D solutions. Finally, it can be concluded that: (a) An accurate but simple 4-unknown STT with thickness stretching effect is developed for the first time. (b) Optimization procedure (described in the paper) appear to be of paramount importance for 4-unknown higher order shear deformation theories (HSDTs) of this gender, so deserves a lot of further research. (c) Transverse shear stresses results are sensitive to the theory and need carefully attention.

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