Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Analysis of Electromechanical Behavior of the Piezoelectric Micro Multi Layered Sandwich Plate on the Basis of the Modified Unified Formulation using the Modified Couple Stress Theory

Authors
Narges Ebrahimi 1
Mohsen Botshekanan Dehkordi 2
Yaghoub Tadi beni 3
1 PhD Student, Department of Mechanical Engineering, Shahrekord University, Shahrekord, Iran
2 Associate Professor, Department of Mechanical Engineering, Shahrekord University, Shahrekord, Iran
3 Professor, Department of Mechanical Engineering, Shahrekord University, Shahrekord, Iran
10.30506/ijmep.2025.2028298.1976
Abstract
In the field of plate and shell analysis, different theories have been presented in recent years, which some of them have difficulties and defects. Carerra's unified formulation is a comprehensive formulation which, in addition to solving these problems, has the ability to model all these theories in addition to higher order theories in a unit form. In this article, the Carerra's unified formulation has been extended using the modified couple stress theory for the electro-mechanical analysis of multilayer sandwich microplates containing piezoelectric materials at the micro scale. Unlike other plate theories, in this formulation, the variation of the deflection along the thickness of plate is considered. In this research, the results of deflection, in-plane stresses, out of plane stresses and electric potential for static bending of a thick sandwich microplate containing piezoelectric layers with simple support boundary conditions have been obtained. The results show that the extension of this formulation based on the higher order theories e.g. modified stress couple theory can consider the size effect of material at the micro and also nano scale. In addition, this new extended formulation can analyze the extensibility along the thickness of plate and also the continuity between layers with different properties for each type of thick multi-layer plate with or without piezoelectricity, correctly.
Keywords
Carerra's uniform formulation
Modified couple stress theory
Piezoelectric
Micro sandwich plate
Size effect

Subjects

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  • Receive Date 06 May 2024
  • Revise Date 09 September 2024
  • Accept Date 05 January 2025