Stress and strain recovery for functionally graded free-form and doubly-curved sandwich shells using higher-order equivalent single layer theory

Tornabene, Francesco; Fantuzzi, Nicholas; Viola, Erasmo; Batra, R.C.

doi:10.1016/j.compstruct.2014.08.005

Cited by 229 publications

(83 citation statements)

References 114 publications

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“…A hybrid method composed of the layerwise theory, DQM, and Fourier series expansion was developed by Selahi et al (2014) for transient analysis of FGM truncated conical shells with variable thickness, under asymmetric dynamic pressures. Tornabene et al (2015) investigated recovery of the static transverse normal and shear stresses in FGM doubly-curved sandwich shells of revolution using Carrera's unified formulation and the DQM. Using the FSDT and dividing the FGM shell into homogeneous disks, and using the finite element method, Zamani Nejad (2015) performed elastic analysis of rotating axially graded truncated conical shells under non-uniform pressures.…”

Section: Introductionmentioning

confidence: 99%

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Shariyat

2017

Lat. Am. j. solids struct.

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Section: Introductionmentioning

confidence: 99%

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Shariyat

2017

Lat. Am. j. solids struct.

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“…Ansari et al [44] applied the variational differential quadrature (VDQ) method to study the free vibration characteristic of embedded functionally graded carbon nanotubereinforced composite (FG-CNTRC) spherical shells having classical boundary condition resting on the elastic foundation. Tornabene et al [45] applied the generalized differential quadrature method [45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60] and Carrera unified formulation to study the effect of Carbon Nanotube (CNT) agglomeration on the free vibration of laminated composite doubly-curved shells and panels reinforced by CNTs.…”

Section: Introductionmentioning

confidence: 99%

Vibration characteristics of functionally graded carbon nanotube reinforced composite rectangular plates on Pasternak foundation with arbitrary boundary conditions and internal line supports

Zhong

Wang

Tang

et al. 2018

Curved and Layered Structures

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This paper presents the first known vibration characteristics of moderately thick functionally graded carbon nanotube reinforced composite rectangular plates on Pasternak foundation with arbitrary boundary conditions and internal line supports on the basis of the firstorder shear deformation theory. Different distributions of single walled carbon nanotubes (SWCNTs) along the thickness are considered. Uniform and other three kinds of functionally graded distributions of carbon nanotubes along the thickness direction of plates are studied. The solutions carried out using an enhanced Ritz method mainly include the following three points: Firstly, create the Lagrange energy function by the energy principle; Secondly, as the main innovation point, the modified Fourier series are chosen as the basic functions of the admissible functions of the plates to eliminate all the relevant discontinuities of the displacements and their derivatives at the edges; Lastly, solve the natural frequencies as well as the associated mode shapes by means of the Ritz-variational energy method. In this study, the influences of the volume fraction of CNTs, distribution type of CNTs, boundary restrain parameters, location of the internal line supports, foundation coefficients on the natural frequencies and mode shapes of the FG-CNT reinforced composite rectangular plates are presented.

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“…Pradyumna and Bandyopadhyay [12] used the finite element method to study the free vibration of functionally graded curved panels with classical boundary conditions by using a higher-order shear deformation theory. Tornabene and his team [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] extended the generalized differential quadrature (GDQ) method for the free vibration analysis of functionally graded circular and parabolic panels and shells of revolution with classical boundary conditions. Other related research results with the layered composite parabolic and circular panels can be seen in Refs [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Free vibration of functionally graded parabolic and circular panels with general boundary conditions

Zhang

Shi

Wang

et al. 2017

Curved and Layered Structures

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Abstract:The purpose of this content is to investigate the free vibration of functionally graded parabolic and circular panels with general boundary conditions by using the Fourier-Ritz method. The first-order shear deformation theory is adopted to consider the effects of the transverse shear and rotary inertia of the panel structures. The functionally graded panel structures consist of ceramic and metal which are assumed to vary continuously through the thickness according to the power-law distribution, and two types of power-law distributions are considered for the ceramic volume fraction. The improved Fourier series method is applied to construct the new admissible function of the panels to surmount the weakness of the relevant discontinuities with the original displacement and its derivatives at the boundaries while using the traditional Fourier series method. The boundary spring technique is adopted to simulate the general boundary condition. The unknown coefficients appearing in the admissible function are determined by using the Ritz procedure based on the energy functional of the panels. The numerical results show the present method has good convergence, reliability and accuracy. Some new results for functionally graded parabolic and circular panels with different material distributions and boundary conditions are provided, which may serve as benchmark solutions.

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Stress and strain recovery for functionally graded free-form and doubly-curved sandwich shells using higher-order equivalent single layer theory

Cited by 229 publications

References 114 publications

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Vibration characteristics of functionally graded carbon nanotube reinforced composite rectangular plates on Pasternak foundation with arbitrary boundary conditions and internal line supports

Free vibration of functionally graded parabolic and circular panels with general boundary conditions

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