Thermal buckling analysis of nanoplates based on nonlocal elasticity theory with four-unknown shear deformation theory resting on Winkler–Pasternak elastic foundation

Bouazza, Mokhtar; Becheri, Tawfiq; Boucheta, Abderrahmane; Benseddiq, Noureddine

doi:10.1080/15502287.2016.1231239

Cited by 26 publications

(12 citation statements)

References 38 publications

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“…As it is observed, by an increase in the length to thickness ratio, the dimensionless critical buckling 8) and ( 18) in Wang et al (2013) forces become closer to the other research results. However, by increasing the aspect ratio, the closeness of the outcomes will be in an excellent agreement which can be noticeable: (Radic and Jeremić, 2016;Wang et al, 2013) Table 3 (Bouazza et al, 2016(Bouazza et al, , 2018Zenkour and Sobhy, 2013) It should be noted that the values of length scale parameter in the comparison tables has been freely chosen and at such a value, the results were compared with the other research results. Note that the value might not be the exact value of the current model, which means that such a value should be obtained in an experimental work (Tables II-IV ).…”

Section: Resultsmentioning

confidence: 85%

“…For further verification of thermal buckling obtained here, other comparative examples are shown in Table IV by which non-dimensional critical buckling temperature subjected to uniform temperature in local conditions is investigated. To achieve this aim, Bouazza et al (2016), Zenkour and Sobhy (2013) and Bouazza et al (2018) are used within which the refined plate theory, the sinusoidal shear deformation theory and the four-variable hyperbolic plate theory were applied. As it is observed, by an increase in the length to thickness ratio, the dimensionless critical buckling 8) and ( 18) in Wang et al (2013) forces become closer to the other research results.…”

Section: Resultsmentioning

confidence: 99%

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Electro-thermal buckling of elastically supported double-layered piezoelectric nanoplates affected by an external electric voltage

Malikan

2019

MMMS

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Purpose Thermal buckling of double-layered piezoelectric nanoplates has been analyzed by applying an external electric voltage on the nanoplates. The paper aims to discuss this issue. Design/methodology/approach Double-layered nanoplates are connected to each other by considering linear van der Waals forces. Nanoplates are placed on a polymer matrix. A comprehensive thermal stress function is used for investigating thermal buckling. A linear electric function is used for taking external electric voltages into account. For considering the small-scale effect, the modified couple stress theory has been applied. An analytical solution has been used by taking various boundary conditions. Findings EEV has a considerable impacted on the results of various half-waves in all boundary conditions. By increasing EEV, the reduction of critical buckling temperature in higher half-waves is remarkably slower than lower half-waves. By considering long lengths, the effect of EEV on the critical temperature will be markedly decreased. Originality/value This paper uses electro-thermal stability analysis. Double-layered piezoelectric nanoplates are analyzed. A comprehensive thermal stress function is applied for taking into account critical temperature.

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Section: Resultsmentioning

confidence: 85%

Section: Resultsmentioning

confidence: 99%

Electro-thermal buckling of elastically supported double-layered piezoelectric nanoplates affected by an external electric voltage

Malikan

2019

MMMS

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“…The displacement field, which accounts for the parabolic variation of transverse shear stress through the thickness, and satisfies the zero traction boundary conditions on the top and bottom faces of the plate using simple four variable refined shear deformation theory, is assumed as follows [17,[53][54][55][56][57][58]: …”

Section: Refined Plate Theory For Fg Platesmentioning

confidence: 99%

Thermal stability analysis of functionally graded plates using simple refined plate theory

Bouazza¹,

Boucheta²,

Becheri³

et al. 2017

Int. J. Automot. Mech. Eng.

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The present paper investigates the thermal stability analysis of functionally graded material plates subjected to three types of thermal loadings, namely; uniform temperature rise, linear temperature rise and non-linear temperature rise through the thickness, using a novel simple refined theory. The theory, which has strong similarity with classical plate theory in many aspects, accounts for a quadratic variation of the transverse shear strains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Material properties are varied continuously in the thickness direction according to a simple power law distribution. A buckling analysis of a functionally graded plate under there types of thermal loads is carried out and results in closed-form solutions thermal stability analysis of functionally graded plates using simple refined plate theory. The influence of various factors such as gradient index, temperature loads, thickness and aspect ratios are carefully studied. The results are verified with the known data in the literature. This theory is seen to behave well, and the results of the sample problem show good agreement with the literature values as seen from the validation checks.

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“…Wang et al 27,28 investigated the eigenvalue buckling and torsional buckling of FG-GPL-reinforced cylindrical shell with cutout through finite element method. Bouazza et al 29,30 investigated the thermal buckling of nanoplates with and without the elastic foundation effects.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical postbuckling of functionally graded graphene-reinforced composite laminated toroidal shell segments surrounded by Pasternak’s elastic foundation

Phương

Nam

Nguyen-Thoi

et al. 2019

Journal of Thermoplastic Composite Materials

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Nonlinear buckling and postbuckling analysis of functionally graded graphene-reinforced composite (FG-GRC) laminated toroidal shell segments subjected to external pressure surrounded by elastic foundations and exposed to thermal environment are presented in this article. Governing equations for toroidal shell segments are based on the Donnell shell theory taking into account geometrical nonlinearity term in von Kármán sense with shell–foundation interaction modeled by Pasternak’s elastic foundation. Three-term solution form of deflection and stress function are chosen, and Galerkin method is applied to obtain the nonlinear load–deflection relation. Numerical investigations show the effects of graphene volume fraction, graphene distribution types, geometrical properties, elastic foundation, and thermal environments on the linear and nonlinear buckling and postbuckling behaviors of FG-GRC laminated toroidal shell segments.

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Thermal buckling analysis of nanoplates based on nonlocal elasticity theory with four-unknown shear deformation theory resting on Winkler–Pasternak elastic foundation

Cited by 26 publications

References 38 publications

Electro-thermal buckling of elastically supported double-layered piezoelectric nanoplates affected by an external electric voltage

Electro-thermal buckling of elastically supported double-layered piezoelectric nanoplates affected by an external electric voltage

Thermal stability analysis of functionally graded plates using simple refined plate theory

Thermomechanical postbuckling of functionally graded graphene-reinforced composite laminated toroidal shell segments surrounded by Pasternak’s elastic foundation

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