Quasi-3D Refined Theory for Functionally Graded Porous Plates: Vibration Analysis

Zenkour, Ashraf M.; Aljadani, Maryam H.

doi:10.1134/s1029959921030036

Cited by 11 publications

(1 citation statement)

References 30 publications

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“…The recent development of functionally graded porous (FGP) materials led to a potential application, it hence requires advanced computational methods and models especially at microscales. The study on static and dynamic responses of FGP plates and shells has attracted a number of researches with various computational methods and models [3][4][5][6][7][8][9][10][11][12][13][14], however, those classical elasticity models could not accurately predict responses of microstructures. Therefore, advanced computations theories with material length scale parameters (MLSPs) have been developed with different approaches.…”

Section: Introductionmentioning

confidence: 99%

Static and vibration analysis of functionally graded microplate with porosities based on higher-order shear deformation and modified strain gradient theory

Tran

Nguyen

Nguyen³

et al. 2023

Vietnam J. Mech.

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Based on fundamental equations of the elasticity theory, a unified higher-order shear deformation theory is developed for bending and free vibration analysis of functionally graded (FG) microplates with porosities. The modified strain gradient theory is employed to capture the size effects. Bi-directional series with hybrid shape functions are used to solve the problems. Several important effects including thickness-to-material length scale parameters, side-to-thickness ratio, and boundary conditions on the deflections and natural frequencies of FG porous microplates are investigated.

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