Thermal buckling of annular microstructure-dependent functionally graded material plates resting on an elastic medium

Ashoori, A.R.; Vanini, S.A. Sadough

doi:10.1016/j.compositesb.2015.10.024

Cited by 41 publications

(13 citation statements)

References 43 publications

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“…Owing to the electric current, the temperature would be raised, in the operating conditions of the microswitch. As known, thermal actuation could produce large displacements as a result of heat, which is the reason of using FGM as lots of thermal tunable capacitors and microcapacitive thermal sensors [34,[36][37][38][39][40][41][42][43]. Pull-In instabilities in a FGM microplate due to thermal stress caused by the electric current were studied by Hasanyan et al [36].…”

Section: Introductionmentioning

confidence: 99%

“…Based on modified couple stress theory, a thin FGM microplate buckling behavior under mechanical and thermal force is investigated by the spline finite strip method [39]. Ashoori and Vanini [41] observe thermal stability characteristics of FGM plates under the influences of power law index, the material length scale parameter, and inner and outer radii as well as elastic foundation coefficients. The asymmetric buckling patterns are revealed for special boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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Analytical Approximate Solution for Nonlinear Behavior of Cantilever FGM MEMS Beam with Thermal and Size Dependency

Sun

Cheng

Wang

et al. 2019

Mathematical Problems in Engineering

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This paper is concerned with the nonlinear static behavior of a cantilever functionally graded material (FGM) microbeam with the influence of thermal stress and the intermolecular force. A significant extension of the recent works of constructing analytical approximate solutions to a clamped-clamped FGM MEMS/NEMS beam is formed in the paper. Based on the modified couple stress theory and an internal material length-scale parameter, the governing equations account for the microbeam size dependency. Note that the thermal force and moment in boundary condition make procedure of solution more complex. The combinations of Galerkin method and the assumption of deflection function are used to establish analytical approximate solutions which have brief expressions. Good agreements of approximate results are found for large range of free-end deflection of cantilever FGM microbeam through comparing them with numerical solutions and other existing results. The influence of various physical parameters, such as the material attributes (Young modulus, Poisson ratio, etc.), the electrostatic gap, and microsize of the beam on mechanical behavior, or Pull-In voltage of electrostatically actuated microbeams, could also be investigated with these analytical expressions.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical Approximate Solution for Nonlinear Behavior of Cantilever FGM MEMS Beam with Thermal and Size Dependency

Sun

Cheng

Wang

et al. 2019

Mathematical Problems in Engineering

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“…Using the MSCT CPT, Mirsalehi et al [53] investigated stability of thin FG microplate under mechanical and thermal load based on spline finite strip method. Ashoori and Vanini [54] also studied thermal buckling of annular FG microplate resting on an elastic medium and extended to geometric nonlinearity effect and snap-through behaviour. Utilising DQ method, Eshaghi et al [55] analysed static bending and natural frequencies of FG annular/circular employing the MCST CPT, FSDT and HSDT models.…”

Section: Introductionmentioning

confidence: 99%

State-space Levy solution for size-dependent static, free vibration and buckling behaviours of functionally graded sandwich plates

Trinh

Thai

et al. 2018

Composites Part B: Engineering

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The size-dependent static, free vibration and buckling behaviours of functionally graded (FG) sandwich plates are analysed in this study. Utilising the modified couple stress theory and variational principle, governing equations of motion are developed with a refined shear deformation theory. The rectangular plates embedded on two opposite simply-supported edges with the arbitrary combinations of the other two. Based on the state-space Levy solution, the deflections, stresses, natural frequencies and critical buckling loads are analytically solved for the closed-form formulations. The effects of material distribution and graded schemes, geometric parameters and boundary conditions are also investigated to examine the size-dependent behaviours of FG sandwich microplates.

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“…Farokhi and Ghayesh [264] also developed a nonlinear modified couple stress CPT model for the nonlinear dynamic analysis of isotropic microplates including initial geometric imperfections.In addition to the application to isotropic microplates, the modified couple stress CPT model was also applied to FG microplates. Ke et al[265] studied the size effect on deflections, critical buckling loads and Ashoori and Sadough Vanini[268] extended their work[267] to account for geometric nonlinearity on thermal buckling of circular FG microplates. Taati[269] derived analytical solutions of the nonlinear modified couple stress CPT model for buckling and postbuckling loads of FG microplates with various BCs subjected to in-plane shear, biaxial compression and uniformly transverse loads.…”

mentioning

confidence: 99%

A review of continuum mechanics models for size-dependent analysis of beams and plates

Thai

Nguyen

et al. 2017

Composite Structures

317

112

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This paper presents a comprehensive review on the development of higher-order continuum models for capturing size effects in small-scale structures. The review mainly focus on the size-dependent beam, plate and shell models developed based on the nonlocal elasticity theory, modified couple stress theory and strain gradient theory due to their common use in predicting the global behaviour of small-scale structures. In each higher-order continuum theory, various size-dependent models based on the classical theory, first-order shear deformation theory and higher-order shear deformation theory were reviewed and discussed. In addition, the development of finite element solutions for size-dependent analysis of beams and plates was also highlighted. Finally a summary and recommendations for future research are presented. It is hoped that this review paper will provide current knowledge on the development of higher-order continuum models and inspire further applications of these models in predicting the behaviour of micro-and nano-structures.

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Thermal buckling of annular microstructure-dependent functionally graded material plates resting on an elastic medium

Cited by 41 publications

References 43 publications

Analytical Approximate Solution for Nonlinear Behavior of Cantilever FGM MEMS Beam with Thermal and Size Dependency

Analytical Approximate Solution for Nonlinear Behavior of Cantilever FGM MEMS Beam with Thermal and Size Dependency

State-space Levy solution for size-dependent static, free vibration and buckling behaviours of functionally graded sandwich plates

A review of continuum mechanics models for size-dependent analysis of beams and plates

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