A new trigonometric layerwise shear deformation theory for the finite element analysis of laminated composite and sandwich plates

Mantari, J.L.; Öktem, Ahmet Sinan; Soares, C. Guedes

doi:10.1016/j.compstruc.2011.12.003

Cited by 75 publications

(19 citation statements)

References 75 publications

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“…Mantari et al [12] developed a new higher order shear deformation theory for elastic, composite/sandwich plates and shells. They introduced a generalized 5 degrees of freedom HSDT to study the bending and free vibration of plates and shells and presented layerwise finite element formulation of the developed higher-order shear deformation theory for the flexure of thick multilayered plates [13,14]. Also Mantari and Guedes Soares [15,16] presented a generalized layerwise displacement base higher order shear deformation theory and its finite element formulation for the bending analysis of symmetric laminated and sandwich composite plates.…”

Section: Introductionmentioning

confidence: 98%

Influence of different parameters on the deflection of composite laminates containing through-the-width delamination using Layerwise HSDT

Kharghani

Soares

2015

Composite Structures

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Section: Introductionmentioning

confidence: 98%

Influence of different parameters on the deflection of composite laminates containing through-the-width delamination using Layerwise HSDT

Kharghani

Soares

2015

Composite Structures

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“…is method has the advantage to exactly represent domains and achieve approximation with arbitrarily high smoothness. Mantari et al [18] developed a layer-wise finite element formulation-based trigonometric layer-wise shear deformation theory for the bending of thick sandwich plates. e analytical solution based on the elasticity theory is important because it can be used as a benchmark to assess other simplified solutions [19].…”

Section: Introductionmentioning

confidence: 99%

Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive

Huo

Liu

et al. 2020

Advances in Polymer Technology

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In this work, analytical solution of simply supported sandwich arches considering permeation effect of adhesives is presented. e permeation layer is described by the functionally graded material, exponentially graded in the radial direction. e stresses and deformations of each layer are based on the two-dimensional (2D) elasticity theory in the polar coordinate. e governing equations of the arch are solved by the layer-wise method, which turns the differential equations with variable coefficients into constant coefficients. e solution can be obtained efficiently by means of the recursive matrix method, especially for the arch with many layers. e present solution agrees well with the finite element solution with a fine mesh, while the finite element method is time consuming in mesh division and calculation. e one-dimensional (1D) solution based on the Euler-Bernoulli theory is close to the present one; however, the error increases as the arch becomes thick. e effect of permeation layer thickness on the stresses is studied. It is indicated that the stress distributions tend to be smooth along the radial direction as the permeation layer thickness increases.

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“…The natural frequencies of laminated composite plates were obtained by Quoc et al using the mesh free moving Kriging interpolation method. Based on a layerwise finite element formulation, Mantari et al studied the flexure of thick multilayered plates. The applicability of the new inverse hyperbolic shear deformation theory for the analysis of free vibration response of laminated composite and sandwich plates was assessed by Grover et al using closed form and finite element solution.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of nanocomposite microplates integrated with sensor and actuator layers using surface SSDPT

2016

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In the present work, nonlinear vibration analysis of polymeric nanocomposite microplates integrated with polyvinylidene fluoride (PVDF) layers as sensors and actuators is investigated. The middle layer is reinforced with carbon nanotubes (CNTs) and it's equivalent material properties are obtained by Mori–Tanaka approach. The nanocomposite and PVDF layers are subjected, respectively, to 2D magnetic and 3D electric fields. The system is rested on an elastic medium which is simulated with orthotropic Pasternak foundation. Based on the quasi‐3D sinusoidal shear deformation plate theory (SSDPT), the motion equations are derived considering surface effects using Gurtin–Murdoch theory. A partial‐differential (PD) controller is applied for the active control of the frequency through a closed‐loop control with bonded distributed PVDF sensors and actuators. Differential quadrature method (DQM) is applied in order to obtain the nonlinear frequency of microstructure. The detailed parametric study is conducted, focusing on the combined effects of the nonlocal parameter, magnetic field, surface stress, elastic medium, volume percent of CNTs, applied voltage, controller, and boundary conditions on the vibration behavior of microstructure. Results depict that applying the controller, the frequency significantly decreases. This investigation may be important for the design and smart control of microdevices. POLYM. COMPOS., 39:1936–1949, 2018. © 2016 Society of Plastics Engineers

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A new trigonometric layerwise shear deformation theory for the finite element analysis of laminated composite and sandwich plates

Cited by 75 publications

References 75 publications

Influence of different parameters on the deflection of composite laminates containing through-the-width delamination using Layerwise HSDT

Influence of different parameters on the deflection of composite laminates containing through-the-width delamination using Layerwise HSDT

Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive

Vibration analysis of nanocomposite microplates integrated with sensor and actuator layers using surface SSDPT

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