On the shear buckling of porous nanoplates using a new size-dependent quasi-3D shear deformation theory

Shahsavari, Davood; Karami, Behrouz; Fahham, Hamid Reza; Li, Li

doi:10.1007/s00707-018-2247-7

Cited by 69 publications

(17 citation statements)

References 73 publications

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“…By inserting Eqs. (11), (13), and (22) into Eq. 10, then, integrating by parts and collecting the coefficients of u, v, w 0 , , , w 1 , and w 2 , the following governing equations are obtained:…”

Section: Classical Maxwell's Relationsmentioning

confidence: 99%

On pre-stressed functionally graded anisotropic nanoshell in magnetic field

Karami

Janghorban

Tounsi

2019

J Braz. Soc. Mech. Sci. Eng.

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Elastic bulk wave characteristics of doubly curved nanoshell made of functionally graded (FG) anisotropic material are studied. The effective properties of FG anisotropic material vary along the thickness direction. A higher-order shear deformation shell theory and the Bi-Helmholtz nonlocal strain gradient theory are, respectively, utilized to model the nanoshell as a continuum model and predicting the size-dependent behavior. The Hamiltonian principle is adopted to obtain the governing equations of wave motion. These equations are solved analytically to evaluate the wave characteristics of the nanoshell. Emphasizing the effect of parametric excitation, the influences of small-scale parameters, exponential factor, magnetic field intensity, initial stress, elastic foundation parameters, and wave number are assessed on the wave dispersion response of FG anisotropic nanoshell.

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Section: Classical Maxwell's Relationsmentioning

confidence: 99%

On pre-stressed functionally graded anisotropic nanoshell in magnetic field

Karami

Janghorban

Tounsi

2019

J Braz. Soc. Mech. Sci. Eng.

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“…It was concluded that lower-order shear deformation theory such as first-order shear deformation does not lead to accurate results for plate with higher values of thickness to side length ratio. To overcome this incompleteness, several higher-order shear deformation theories (HSDT) were developed (Shahsavari et al, 35 Mantari et al, 36 Meiche et al 37 ). Recently, refined plate theories (RPT) were presented for plates which the most interesting features of these theories are similarity to classical theory in various respects (Mahi et al 38 and Arefi and Zenkour 39 ).…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlocal vibration analysis of the three-layered FG nanoplates subjected to applied electric potential considering thickness stretching effect

Arefi

Arani

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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Comprehensive nonlocal piezoelasticity relations are developed in this paper for a sandwich functionally graded nanoplate subjected to applied electric potential based on higher-order shear and normal deformation theory. To account thickness stretching effect, the higher-order shear and normal deformation theory is developed. Based on this theory, the transverse deflection is decomposed into bending, shear and stretching portions in which the third term is reflected variation of transverse deflection along the thickness direction. Size dependency is accounted in governing equations based on nonlocal elasticity theory. The sandwich nanoplate is made of a functionally graded core integrated with two piezoelectric layers. Distribution of material properties are assumed according to the power-law function in the thickness direction. The Hamilton’s principle is used to derive governing equations of motion. Navier’s technique is implemented to solve partial differential equation of motion. Accuracy and efficiency of the presented technique are verified by a comparison between obtained results and existing results in literature for two cases including and excluding thickness stretching effect. The comparison between the results with and without thickness stretching effect can justify necessity of present work. Large parametric analysis is organized to investigate effect of significant parameters such as external applied voltage, nonlocal parameter, non-homogeneous index, stretching effect, length-to-thickness, length-to-width and core-to-face sheet thickness ratios on the vibrational behavior of the system. As an important result of this study, one can conclude that accounting thickness stretching effect leads to decrease of natural frequencies in comparison with cases disregards thickness stretching.

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“…A further application of the nonlocal higher-order theory can be found in the work of Ganapathi and Polit [27] for the numerical study of the bending and buckling response of curved nanobeams, including the thickness stretching effect. For the first time, the shear buckling analysis of porous nanoplates was presented by Shahsavari et al [28] using a nonlocal quasi-3D plate theory. A different single variable shear deformable nonlocal theory was applied instead, by Shimpi et al [29], for the static analysis of rectangular micro/nanobeams subjected to a transverse loading, whereas a comprehensive study of the CNTs reinforced composite plates was presented by Karami et al [30] by applying a nonlocal second-order shear deformable theory.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Buckling Analysis of Composite Curved Beams Reinforced with Functionally Graded Carbon Nanotubes

et al. 2019

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This work deals with the size-dependent buckling response of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) (FG-CNTRC) curved beams based on a higher-order shear deformation beam theory in conjunction with the Eringen Nonlocal Differential Model (ENDM). The material properties were estimated using the rule of mixtures. The Hamiltonian principle was employed to derive the governing equations of the problem which were, in turn, solved via the Galerkin method to obtain the critical buckling load of FG-CNTRC curved beams with different boundary conditions. A detailed parametric study was carried out to investigate the influence of the nonlocal parameter, CNTs volume fraction, opening angle, slenderness ratio, and boundary conditions on the mechanical buckling characteristics of FG-CNTRC curved beams. A large parametric investigation was performed on the mechanical buckling behavior of FG-CNTRC curved beams, which included different CNT distribution schemes, as useful for design purposes in many practical engineering applications.

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On the shear buckling of porous nanoplates using a new size-dependent quasi-3D shear deformation theory

Cited by 69 publications

References 73 publications

On pre-stressed functionally graded anisotropic nanoshell in magnetic field

On pre-stressed functionally graded anisotropic nanoshell in magnetic field

Nonlocal vibration analysis of the three-layered FG nanoplates subjected to applied electric potential considering thickness stretching effect

Nonlocal Buckling Analysis of Composite Curved Beams Reinforced with Functionally Graded Carbon Nanotubes

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