Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory

Arefi, Mohammad; Cívalek, Ömer

doi:10.1007/s43452-020-00032-2

Cited by 27 publications

(3 citation statements)

References 20 publications

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“…A double analytical and finite element solution has recently been proposed by Jrad et al [ 84 ] to assess the triply coupled free vibrational responses of thin-walled beams under different boundary conditions. More recently, a third-order shear deformation theory was employed by Arefi and Civalek [ 85 ] to check for the static deformation of cylindrical nanoshells made from FG piezoelectric materials supported by a Pasternak elastic foundation.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Analysis of the Flexural–Torsional Stability for FG Tapered Thin-Walled Beam-Columns

et al. 2021

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This paper addresses the flexural–torsional stability of functionally graded (FG) nonlocal thin-walled beam-columns with a tapered I-section. The material composition is assumed to vary continuously in the longitudinal direction based on a power-law distribution. Possible small-scale effects are included within the formulation according to the Eringen nonlocal elasticity assumptions. The stability equations of the problem and the associated boundary conditions are derived based on the Vlasov thin-walled beam theory and energy method, accounting for the coupled interaction between axial and bending forces. The coupled equilibrium equations are solved numerically by means of the differential quadrature method (DQM) to determine the flexural–torsional buckling loads associated to the selected structural system. A parametric study is performed to check for the influence of some meaningful input parameters, such as the power-law index, the nonlocal parameter, the axial load eccentricity, the mode number and the tapering ratio, on the flexural–torsional buckling load of tapered thin-walled FG nanobeam-columns, whose results could be used as valid benchmarks for further computational validations of similar nanosystems.

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Section: Introductionmentioning

confidence: 99%

Nonlocal Analysis of the Flexural–Torsional Stability for FG Tapered Thin-Walled Beam-Columns

et al. 2021

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“…Akbaş [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] investigated nonlinear behavior and forced vibration analysis of composite structures. Also, many researchers investigated mechanical analysis of composite structures resting on foundation [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60].…”

Section: Introductionmentioning

confidence: 99%

Static Analysis of a Fiber Reinforced Composite Beam Resting on Winkler-Pasternak Foundation

Akbaş

2020

International Journal of Engineering and Applied Sciences

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This paper presents static analysis of a simply supported beam made of fiber reinforced composite material resting on elastic foundation. The foundation type is considered as Winkler-Pasternak foundation type. The first-shear beam theory is used in the kinematics of the beam and the Ritz method is used and in the solution of the problem. In the Ritz method, algebraic polynomials are used with the trivial functions. In the numerical examples, the effects of fibre orientation angles, the volume fraction and foundation parameters on the static deflections of fiber reinforced composite beam are investigated. The numerical results show that fiber orientation angle, volume fraction and foundation parameter have great influence on static behavior of fiber reinforced composites.

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“…Employing modified couple stress theory, Ghasemi and Mohandes [36] formulated an innovative methodology to calculate interlaminar normal and shear stresses of transversely loaded micro and nano composite laminated Timoshenko beam subjected to different end conditions. By taking into account the assumptions of third-order shear deformation theory, Arefi and Civalek [37] inspected the static deformation of cylindrical nanoshells made from functionally graded piezoelectric materials supported by Pasternak's elastic foundation. More recently, Soltani and Asgarian [38] assessed the lateral buckling behavior of web and/or flanges tapered thin-walled beams with axially varying materials subjected to simply-supported end conditions via the differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Size-dependent buckling analysis of non-prismatic Timoshenko nanobeams made of FGMs rested on Winkler foundation

Soltani

Gholamizadeh

2018

NMCE

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In this article, the buckling behavior of tapered Timoshenko nanobeams made of axially functionally graded (AFG) materials resting on Winkler type elastic foundation is perused. It is supposed that material properties of the AFG nanobeam vary continuously along the beam's length according to the power-law distribution. The nonlocal elasticity theory of Eringen is employed to contemplate the small size effects. Based on the first-order shear deformation theory, the system of nonlocal equilibrium equations in terms of vertical and rotation displacements are derived using the principle of total potential energy. To acquire the nonlocal buckling loads, the differential quadrature method is used in the solution of the resulting coupled differential equations. Eventually, an exhaustive numerical example is carried out for simply supported end conditions to investigate the influences of significant parameters such as power-law index, tapering ratio, Winkler parameter, aspect ratio, and nonlocal parameter on the buckling capacity of AFG Timoshenko nanobeams with varying cross-section supported by uniform elastic foundation.

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Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory

Cited by 27 publications

References 20 publications

Nonlocal Analysis of the Flexural–Torsional Stability for FG Tapered Thin-Walled Beam-Columns

Nonlocal Analysis of the Flexural–Torsional Stability for FG Tapered Thin-Walled Beam-Columns

Static Analysis of a Fiber Reinforced Composite Beam Resting on Winkler-Pasternak Foundation

Size-dependent buckling analysis of non-prismatic Timoshenko nanobeams made of FGMs rested on Winkler foundation

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