Buckling of piezoelectric sandwich microplates with arbitrary in-plane BCs rested on foundation: effect of hygro-thermo-electro-elastic field

Buckling and post-buckling behaviors of simply supported microplates in complex environment are studied, where elastic foundation and hygro-thermal-electro-mechanical loads are considered. The first-order shear deformation theory is used to establish basic equations of the microplate considering the...

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Bibliographic Details
Published inEuropean physical journal plus Vol. 135; no. 1; p. 61
Main Authors Yang, Yukang, Dong, Youheng, Li, Yinghui
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2020
Springer Nature B.V
Subjects
Applied and Technical Physics
Atomic
Boundary conditions
Buckling
Complex Systems
Condensed Matter Physics
Deformation
Design optimization
Elastic buckling
Elastic deformation
Elastic foundations
Energy
Exact solutions
Galerkin method
Mathematical and Computational Physics
Microelectromechanical systems
Molecular
Noise control
Nonlinearity
Optical and Plasma Physics
Perturbation methods
Physics
Physics and Astronomy
Piezoelectricity
Postbuckling
Regular Article
Shear deformation
Stress state
Theoretical
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Summary:Buckling and post-buckling behaviors of simply supported microplates in complex environment are studied, where elastic foundation and hygro-thermal-electro-mechanical loads are considered. The first-order shear deformation theory is used to establish basic equations of the microplate considering the von Kármán’s nonlinearity. The size-dependent effect is characterized by the modified couple stress theory. A unified boundary condition model is introduced to discuss various in-plane boundary conditions (BCs). Analytical solutions for critical mechanical/hygrothermal buckling loads and post-buckling paths of the microplate under different in-plane BCs are obtained by using the perturbation method and the Galerkin method, respectively. Results reveal that size-dependent effect and elastic foundation enhance the stiffness of the microplate. Transverse displacement of the microplate in the post-buckling stage increases with the external compressive load, temperature and moisture concentration, expressing a nonlinear curve. When the displacement constraint in the normal direction is applied on the microplate edge, the critical mechanical/hygrothermal buckling load decreases. These results can be utilized in the optimization design of the micro-electro-mechanical systems. Graphical abstract
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ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-020-00098-0