Analysis of functionally graded sandwich plate structures with piezoelectric skins, using B-spline finite strip method

Loja, M. A. R.; Soares, Cristóvão M. Mota; Barbosa, J. Infante

doi:10.1016/j.compstruct.2012.08.010

Cited by 42 publications

(20 citation statements)

References 28 publications

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“…The gradation of material properties in both the cases are governed Taj et al 211 by the volume fraction of the constituent materials [35]. Such type of options could also be made use in smart structures where the actuators and sensors are placed in the skin layers by appropriately selecting the core material [36][37][38][39]. Due to their accuracy in predicting the response of the structure and to provide benchmark data to assess the accuracy of various plate theories and finite element formulations, many analytical models were developed based on 3D elasticity solution and utilized to study the effect of FG core in the sandwich construction having orthotropic face sheets [40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Bending analysis of functionally graded skew sandwich plates with through-the thickness displacement variations

Taj

Chakrabarti

Talha

2013

Jnl of Sandwich Structures & Materials

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This paper analyzes the bending response of functionally graded skew sandwich plates with graded layer as face sheet/core using higher order shear deformation theory in the frame work of finite element method considering through-the-thickness variation of displacements. The assumed kinematics field incorporates the quadratic variation of thickness co-ordinate in defining the transverse displacement. The C 0 finite element formulation has been done efficiently to overcome the problem of C 1 continuity associated with the higher order shear deformation theory. For this, a rectangular isoparametic Lagrangian element with nine nodes and 13 nodal unknowns at each node is developed. Two types of plates are modeled: functionally graded skew plates with graded face sheets and graded layer as core part. By considering the symmetry of the plate, different combinations of bottom-core-top thickness has been considered for the numerical study. Wide variety of numerical problems are presented for functionally graded sandwich plates with various skew angles, thickness schemes, aspect ratio, thickness ratio and boundary conditions. It is noticed that isotropic plates exhibit diverge response in comparison with graded plates. Also, power law exponent and skew angle are vital parameters that dictate the response of the plate under bending.

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Section: Introductionmentioning

confidence: 99%

Bending analysis of functionally graded skew sandwich plates with through-the thickness displacement variations

Taj

Chakrabarti

Talha

2013

Jnl of Sandwich Structures & Materials

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“…Neves et al [49] conducted a static analysis of FGM sandwich plates under the guidance of a meshless method with a radial basis function assignment. For more related research results on sandwich beams and sandwich shells, see References [50,51,52,53,54,55,56,57,58,59].…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Vibration Analysis of a Functionally Graded Sandwich Rectangular Plate Resting on an Elastic Foundation Using a Semi-Analytical Method

Cui

Zhou

et al. 2019

Materials

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The three-dimensional vibration of a functionally graded sandwich rectangular plate on an elastic foundation with normal boundary conditions was analyzed using a semi-analytical method based on three-dimensional elasticity theory. The material properties of the sandwich plate varied with thickness according to the power law distribution. Two types of functionally graded material (FGM) sandwich plates were investigated in this paper: one with a homogeneous core and FGM facesheets, and another with homogeneous panels and an FGM core. Various displacements of the plates were created using an improved Fourier series consisting of a standard Fourier cosine series along with a certain number of closed-form auxiliary functions satisfying the essential boundary conditions. The vibration behavior of the FGM sandwich plate, including the natural frequencies and mode shapes, was obtained using the Ritz method. The effectiveness and accuracy of the suggested technique were fully verified by comparing the natural frequencies of sandwich plates with results from investigations of other functionally graded sandwich rectangular plates in the literature. A parametric study, including elastic parameters, foundation parameters, power law exponents, and layer thickness ratios, was performed, and some new results are presented.

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“…Loja et al. 50 studied the static and free vibration behaviour of functionally graded sandwich plate type structures, using B-spline finite strip element models based on different shear deformation theories. They estimated effective properties of functionally graded materials according to Mori–Tanaka homogenization scheme.…”

Section: Introductionmentioning

confidence: 99%

“…The equilibrium equations were given based on a trigonometric shear deformation plate theory and governing equations of the viscoelastic sandwich plate were solved using Illyushin's method. Loja et al 50 studied the static and free vibration behaviour of functionally graded sandwich plate type structures, using Bspline finite strip element models based on different shear deformation theories. They estimated effective properties of functionally graded materials according to Mori-Tanaka homogenization scheme.…”

Section: Introductionmentioning

confidence: 99%

Bending analysis of sandwich plates with composite face sheets and compliance functionally graded syntactic foam core

Lashkari

Rahmani

2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, the problem of a rectangular plate with functionally graded soft core and composite face sheets is considered using high order sandwich plate theory. This theory applies no assumptions on the displacement and stress fields in the core. Face sheets were treated using classical theory and core was exposed to the theory of elasticity. Governing equations and boundary conditions are derived using principle of virtual displacement and the governing equations are based on eight primary variables including six displacements and two shear stresses. This solution is able to present localized displacements and stresses in places where concentrated loads are exerted to the structure since the displacements in the core can take a nonlinear form which could not be seen in the previous theories such as classical and higher order shear theories. This theory is suitable for rectangular plates under all types of loadings distributed or concentrated which can be different on upper and lower face sheets at the same point. The results were compared with the published literature using theory of elasticity and showed good agreement confirming the accuracy of the present theory. Subsequently, the solution for the core with functionally graded material is presented and effectively indicates positive role of functionally graded core.

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Analysis of functionally graded sandwich plate structures with piezoelectric skins, using B-spline finite strip method

Cited by 42 publications

References 28 publications

Bending analysis of functionally graded skew sandwich plates with through-the thickness displacement variations

Bending analysis of functionally graded skew sandwich plates with through-the thickness displacement variations

Three-Dimensional Vibration Analysis of a Functionally Graded Sandwich Rectangular Plate Resting on an Elastic Foundation Using a Semi-Analytical Method

Bending analysis of sandwich plates with composite face sheets and compliance functionally graded syntactic foam core

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