Size-dependent behaviour of functionally graded sandwich microplates under mechanical and thermal loads

Trinh, Luan C.; Vo, Thuc P.; Thai, Huu‐Tai; Mantari, J.L.

doi:10.1016/j.compositesb.2017.05.042

Cited by 45 publications

(8 citation statements)

References 42 publications

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“…Shimpi [109] Thai and Choi [121] Thai and Vo [191] Darijani and Mohammadabadi [244] Darijani and Shahdadi [303] 121 455 483 660 16 4 [196] Thai et al [250] Lei et al [310] Trinh et al [307]…”

Section: Referencementioning

confidence: 99%

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

Thai

Nguyen

et al. 2017

Composite Structures

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316

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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Section: Referencementioning

confidence: 99%

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

Thai

Nguyen

et al. 2017

Composite Structures

Self Cite

316

112

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“…1. By applying the MCST, the variation of strain energy in the body V is related to both strain and curvature tensors as [29]: Utilising the refined deformation theory [52,56], the displacement field of an arbitrary point is described as follows:…”

Section: Kinematics and Constitutive Relationsmentioning

confidence: 99%

“…The MCST sinusoidal shear deformation model was also developed by Thai and Vo [47] for deflections and natural frequencies of simply supported microplates. Some other refined plate models [48,49] and quasi-3D [50][51][52] were also employed the MCST for FG microplates. In addition, the thermal effects are examined for the FG microplates in many publications.…”

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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“…[109] studied the FGM microbeams under thermal loading, trigonometric shear deformation beam theory subjected to thermal loadings studied in [110] for buckling analysis, Ref. [111] investigates buckling and vibration analysis of FGM sandwich microplates exposed to thermal loading and Ref. [112] studied the vibration behavior of FGM microbeams under thermal loading and considering the effects of shear deformation beam theory.…”

Section: Introductionmentioning

confidence: 99%

Size-dependent thermo-mechanical free vibration analysis of functionally graded porous microbeams based on modified strain gradient theory

Zanoosi

2020

J Braz. Soc. Mech. Sci. Eng.

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In present study, vibration analysis of functionally graded (FG) porous microbeam under thermal effects is investigated considering modified strain gradient theory (MSGT) of elasticity. As the main novelty of this study, in order to effectively acquire the effects of size of size-dependent porous structures, MSGT is employed (considers three material length scale parameters) rather than modified couple stress theory (MCST) (considers one material length scale parameter). The nonlinear governing equation of microbeam based on MSGT is derived from Hamilton's principle and to determine the natural frequency of the system under simply supports, Navier solution is employed. Numerical results presented for different beam models and theories and are compared with those available in previous studies. The obtained results show that frequencies from MSGT are higher than those from MCST and also classical theory (CT), especially when the microbeam thickness is comparable to the microbeam length scale parameter. Also, increases in the temperature of microbeam working environment, lead to decrease of microbeam natural frequency. Finally, parametric study is performed on natural frequency of FG microbeams to indicate the effects of: temperature changes, length scale parameter, slender ratio, and gradient index and porosity volume fraction.

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Size-dependent behaviour of functionally graded sandwich microplates under mechanical and thermal loads

Cited by 45 publications

References 42 publications

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

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

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

Size-dependent thermo-mechanical free vibration analysis of functionally graded porous microbeams based on modified strain gradient theory

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