Stability of thin FGM microplate subjected to mechanical and thermal loading based on the modified couple stress theory and spline finite strip method

Mirsalehi, Maryam; Azhari, Mojtaba; Amoushahi, Hossein

doi:10.1016/j.ast.2015.10.001

Cited by 35 publications

(14 citation statements)

References 34 publications

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“…Furthermore, the instability region of S-FGM plates is directly proportional to static load factor and elastic medium parameters. Critical buckling load and temperature of FGM microplates under mechanical and thermal loading were analyzed by Mirsalehi et al [49]. It was noticed that both critical load and temperature vary with length-scale parameter except the case in which plate thickness is high enough as compared to length.…”

Section: Fgm Platesmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

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Section: Fgm Platesmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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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%

“…FGM microgripper mechanical behavior subjected to thermal load, intermolecular forces, and voltage is studied by Jahangiri et al [38] through numerical method. 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.…”

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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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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“…In addition, the thermal effects are examined for the FG microplates in many publications. 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.…”

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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Stability of thin FGM microplate subjected to mechanical and thermal loading based on the modified couple stress theory and spline finite strip method

Cited by 35 publications

References 34 publications

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

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

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