Bending Deformation of Multilayered One-Dimensional Quasicrystal Nanoplates Based on the Modified Couple Stress Theory

Li, Xiaofei; Guo, Junhong; Sun, Tuoya

doi:10.1007/s10338-019-00120-8

Cited by 10 publications

(1 citation statement)

References 41 publications

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“…Yadav et al [17] used Al-based singlephase decagonal QC Al 66 Co 17 Cu 17 alloy to extract the corresponding 2D alloy structure. In non-classical theories including nonlocal elasticity theory [18] , nonlocal strain gradient theory [19] , and modified couple stress theory [20] , the nonlocal theory has been widely used in predicting the mechanical properties of nano-materials and nano-structures [21][22][23] such as nanobeams, graphene nanosheets, and nanoplates. Furthermore, the results based on this theory are in excellent agreement with those obtained from MD simulation and experiments.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal vibration and buckling of two-dimensional layered quasicrystal nanoplates embedded in an elastic medium

Sun

Guo

Pan

2021

Appl. Math. Mech.-Engl. Ed.

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A mathematical model for nonlocal vibration and buckling of embedded two-dimensional (2D) decagonal quasicrystal (QC) layered nanoplates is proposed. The Pasternak-type foundation is used to simulate the interaction between the nanoplates and the elastic medium. The exact solutions of the nonlocal vibration frequency and buckling critical load of the 2D decagonal QC layered nanoplates are obtained by solving the eigensystem and using the propagator matrix method. The present three-dimensional (3D) exact solution can predict correctly the nature frequencies and critical loads of the nanoplates as compared with previous thin-plate and medium-thick-plate theories. Numerical examples are provided to display the effects of the quasiperiodic direction, length-to-width ratio, thickness of the nanoplates, nonlocal parameter, stacking sequence, and medium elasticity on the vibration frequency and critical buckling load of the 2D decagonal QC nanoplates. The results show that the effects of the quasiperiodic direction on the vibration frequency and critical buckling load depend on the length-to-width ratio of the nanoplates. The thickness of the nanoplate and the elasticity of the surrounding medium can be adjusted for optimal frequency and critical buckling load of the nanoplate. This feature is useful since the frequency and critical buckling load of the 2D decagonal QCs as coating materials of plate structures can now be tuned as one desire.

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