Synchronous/Asynchronous Buckling of Double-Layered Microplate Systems

ZHANG Limin; ZHANG Bo; ZHANG Xu; DUAN Yuhang; SHEN Huoming

doi:10.21656/1000-0887.430306

Volume 44 Issue 2

Feb. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(2): 160-167

ZHANG Limin, ZHANG Bo, ZHANG Xu, DUAN Yuhang, SHEN Huoming. Synchronous/Asynchronous Buckling of Double-Layered Microplate Systems[J]. Applied Mathematics and Mechanics, 2023, 44(2): 160-167. doi: 10.21656/1000-0887.430306

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Synchronous/Asynchronous Buckling of Double-Layered Microplate Systems

doi: 10.21656/1000-0887.430306

School of Mechanics and Aerospace Engineering, Southwest Jiaotong University； Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, Chengdu 611756, P.R.China

Received Date: 2022-10-05
Rev Recd Date: 2022-12-29

Available Online: 2023-02-02

Publish Date: 2023-02-15

Abstract

Abstract

A linear buckling model for double-layered microplate systems filled with elastic media between layers was developed under the modified couple stress theory and the 2-variable higher-order shear deformation theory. The governing differential equations for system buckling were derived based on the Euler-Lagrange equation. With the Navier method, the synchronous and asynchronous buckling solutions were analytically obtained in the case of both upper and lower plates being simply supported on 4 edges. The influence of each parameter on the buckling characteristics of the system was discussed by numerical examples. Numerical results show that, the asynchronous buckling characteristics of the system depend on the material length scale parameter, the aspect ratio and the elastic medium modulus, while the synchronous buckling characteristics depend on the 1st 2 only; the asynchronous critical buckling load is noticeably greater than that of the synchronous buckling case; the Pasternak modulus has a more significant effect on the buckling characteristics of the system than the Winkler modulus.

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References(24)

References

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