A higher-order size-dependent beam model for nonlinear mechanics of fluid-conveying FG nanotubes incorporating surface energy

Jin, Quan; Ren, Yiru; Li, Lizhi

doi:10.1016/j.compstruct.2021.114022

Cited by 27 publications

(3 citation statements)

References 47 publications

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“…На основе модели слоистой балки изучена роль поверхностного эффекта на частоту и отношения амплитуд некоаксиальных колебаний многостенных углеродных нанотрубок (МУНТ) в матрице при различных начальных напряжениях с использованием ван-дер-ваальсова взаимодействия между двумя трубками [47]. Влияние поверхностной энергии на свободные колебания функционально-градиентных нанотрубок при транспорте жидкости рассмотрено на основе модели балки с размерной зависимостью высшего порядка в сочетании с нелокальным напряжением [48]. В рамках нелокальной теории пластин исследовано влияние нелокальных и поверхностных эффектов на напряжения потери устойчивости круглых листов графена при изменении температуры в условиях равномерного радиального сжатия [49].…”

Section: Introductionunclassified

Vibration Analysis of Single-Walled Carbon Nanotubes Embedded in a Polymer Matrix under Magnetic Field Considering the Surface Effect Based on Nonlocal Strain Gradient Elasticity Theory

et al. 2023

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Поведение однослойных углеродных нанотрубок (ОУНТ) в упругой среде под действием продольной компоненты магнитного поля вызывает большой интерес, обусловленный их применением в наноэлектромагнитомеханических системах. В работе на основе нелокальной градиентной теории упругости второго порядка выполнен анализ колебаний ОУНТ в полимерной матрице. Получено характеристическое уравнение движения ОУНТ в полимерной матрице под действием продольной компоненты магнитного поля с учетом поверхностного эффекта. Описана зависимость собственной частоты ОУНТ от изменения хирального угла и диаметра нанотрубки. Исследовано влияние различных параметров на колебания ОУНТ, таких как продольная компонента магнитного поля, поверхностный эффект, индекс и угол хиральности, хиральность ОУНТ, число мод колебаний, аспектное отношение (отношение длины к диаметру), а также нелокальный параметр и параметр масштаба длины материала. Полученные численные результаты могут быть использованы при изучении поведения ОУНТ в наноэлектромеханических устройствах.Ключевые слова: нелокальная теория градиента деформации второго порядка, однослойные углеродные нанотрубки, анализ колебаний, поверхностный эффект, хиральность ОУНТ

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Section: Introductionunclassified

Vibration Analysis of Single-Walled Carbon Nanotubes Embedded in a Polymer Matrix under Magnetic Field Considering the Surface Effect Based on Nonlocal Strain Gradient Elasticity Theory

et al. 2023

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“…Kazemi and Vatankhah [38] proposed a finite element model including the couple stress type of size dependency for thermal oscillations of composite microplates subjected to a partial excitation. Jin et al [39] extended the twostep perturbation technique for size-dependent nonlinear mechanics of fluid-conveying nanotubes. Sahmani et al [40][41][42][43] analyzed nonlinear mechanical characteristics of graded composite microplates having various geometrical shapes with variable thickness incorporating different size effects.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear stability of axially compressed couple stress-based composite micropanels reinforced with random checkerboard nanofillers

Lu¹,

Zhou²,

Sahmani³

et al. 2021

Phys. Scr.

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In this investigation, by matching the moving Kriging meshfree formulations with the third-order shear flexible shell model together with the modified couple stress continuity, the size-dependent nonlinear stability characteristics of micropanels subjected to axial compression are analyzed. The random checkerboard model is employed for the micropanels made of graphene nanoplatelet random-reinforced composites. The associated material characteristics are evaluated via a probabilistic-based micromechanical scheme. Afterwards, proper meshfree functions are implemented to enforce the essential boundary conditions at the considered nodding system accurately. It is shown that the stiffening character of the couple stress size dependency coming from the rotation gradient tensor causes to rise the nonlinear critical stability load and the associated critical shortening of random reinforced composite micropanels. Moreover, for a specific value of the graphene nanofillers volume fraction, by reducing the length to width aspect ratio of them, the role of rotation gradient size dependency in the both critical stability load and critical shortening of an axially compressed random checkerboard reinforced composite micropanel becomes somehow more significant.

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“…Anh et al (2015) studied the nonlinear stability characteristics of FGM spherical shells resting on elastic foundation under thermal environment. Qiduo et al (Jin et al , 2020a, b, 2021) investigated the free vibration of post-buckled FG-GRC, FG nanotubes and laminated FRC using higher order shear deformation zig-zag theory. Yiru Ren et al (2021) studied the dynamic behavior of pre- and postbuckled FG graphene-reinforced composites.…”

Section: Introductionmentioning

confidence: 99%

Thermal buckling behavior of power and sigmoid functionally graded material sandwich plates using nonpolynomial shear deformation theories

Sah

Ghosh

2021

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PurposeThe purpose of this article is to carry out the thermal buckling analysis of power and sigmoid functionally graded material Sandwich plate (P-FGM and S-FGM) under uniform, linear, nonlinear and sinusoidal temperature rise.Design/methodology/approachThermal buckling of FGM Sandwich plates namely, FGM face with ceramic core (Type-A) and homogeneous face layers with FGM core (Type-B), incorporated with nonpolynomial shear deformation theories are considered for an analytical solution in this investigation. Effective material properties and thermal expansion coefficients of FGM Sandwich plates are evaluated based on Voigt's micromechanical model considering power and sigmoid law. The governing equilibrium and stability equations for the thermal buckling analysis are derived based on sinusoidal shear deformation theory (SSDT) and inverse trigonometric shear deformation theory (ITSDT) along with Von Karman nonlinearity. Analytical solutions for thermal buckling are carried out using the principle of minimum potential energy and Navier's solution technique.FindingsCritical buckling temperature of P-FGM and S-FGM Sandwich plates Type-A and B under uniform, linear, non-linear, and sinusoidal temperature rise are obtained and analyzed based on SSDT and ITSDT. Influence of power law, sigmoid law, span to thickness ratio, aspect ratio, volume fraction index, different types of thermal loadings and Sandwich plate types over critical buckling temperature are investigated. An analytical method of solution for thermal buckling of power and sigmoid FGM Sandwich plates with efficient shear deformation theories has been successfully analyzed and validated.Originality/valueThe temperature distribution across FGM plate under a high thermal environment may be uniform, linear, nonlinear, etc. In practice, temperature variation is an unpredictable phenomenon; therefore, it is essential to have a temperature distribution model which can address a sinusoidal temperature variation too. In the present work, a new sinusoidal temperature rise is proposed to describe the effect of sinusoidal temperature variation over critical buckling temperature for P-FGM and S-FGM Sandwich plates. For the first time, the FGM Sandwich plate is modeled using the sigmoid function to investigate the thermal buckling behavior under the uniform, linear, nonlinear and sinusoidal temperature rise. Nonpolynomial shear deformation theories are utilized to obtain the equilibrium and stability equations for thermal buckling analysis of P-FGM and S-FGM Sandwich plates.

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A higher-order size-dependent beam model for nonlinear mechanics of fluid-conveying FG nanotubes incorporating surface energy

Cited by 27 publications

References 47 publications

Vibration Analysis of Single-Walled Carbon Nanotubes Embedded in a Polymer Matrix under Magnetic Field Considering the Surface Effect Based on Nonlocal Strain Gradient Elasticity Theory

Vibration Analysis of Single-Walled Carbon Nanotubes Embedded in a Polymer Matrix under Magnetic Field Considering the Surface Effect Based on Nonlocal Strain Gradient Elasticity Theory

Nonlinear stability of axially compressed couple stress-based composite micropanels reinforced with random checkerboard nanofillers

Thermal buckling behavior of power and sigmoid functionally graded material sandwich plates using nonpolynomial shear deformation theories

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