The critical load analysis of multi-loaded intelligent sandwich structure for performance of testing using the nanocomposite materials

Lihong Lu , Ting Li , Mostafa Habibi

Abstract

This paper investigates the electro-magneto-thermo-mechanical buckling behavior of a sandwich microplate. The structure consists of an elastic core integrated with piezoelectric/piezomagnetic face-sheets, accounting for significant small-scale effects. A higher-order shear and normal deformation theory is employed to accurately capture the plate's kinematics, including the crucial effect of thickness stretching. The constitutive relations are developed by coupling the generalized Hooke's law with the linear equations for piezoelectric and piezomagnetic materials. To incorporate size-dependent effects, the modified couple stress theory is integrated into the framework, introducing a single length scale parameter. The electric and magnetic potentials are modeled using a combination of a linear function, representing the applied external potential, and a trigonometric variation to satisfy the zero potential condition at the top/bottom surfaces. The results quantify the critical mechanical loads, temperature change, and electric and magnetic potentials, highlighting the influences of the micro-length scale, face-sheet to core thickness ratio, and elastic foundation parameters on the structural stability. This model can be applied to feedback control systems in intelligent civil engineering structures and composite load-bearing components of bridges.

Key Words

Hamilton's principle; higher-order modelling; multi-field loading; sandwich piezoelectric/ piezomagnetic microplate; scale-dependent model

Address

Lihong Lu — College of Civil Engineering and Architecture, Jiaozuo University, Jiaozuo 454000, Henan, China/ Jiaozuo Shengxin Environmental Protection Technology Co., Ltd., Jiaozuo 454006, Henan, China
Ting Li — School of Law and Journalism & Communication, Wuhan Donghu University, Wuhan 430212, Hubei, China
Mostafa Habibi — Department of Mechanical Engineering, Faculty of Engineering, Haliç University, Istanbul, Turkey/ Department of Biomaterials, Saveetha Dental College and Hospital, Saveetha Institute of Medical and Technical Sciences, Chennai, India

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