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article · Journal of Intelligent Material Systems and Structures

Size-dependent electro-elastic analysis of a sandwich microbeam based on higher-order sinusoidal shear deformation theory and strain gradient theory

In plain language

This research derived the governing equations for the bending analysis of a sandwich microbeam, which comprises an elastic micro-core and two piezoelectric micro face-sheets. The microbeam was subjected to transverse loads and a two-dimensional electric potential. The analysis incorporated higher-order sinusoidal shear deformation beam theory for displacement and strain gradient theory to account for size dependency in stress and strain. An analytical approach was developed for a simply supported microbeam with short-circuited electric potential. Numerical results showed that parameters such as foundation, material, and loads significantly influence bending. It was also found that maximum displacement and electric potential are largely unaffected by applied voltage, unlike beam rotation and higher-order rotation.

Key takeaways

  • Governing equations for the bending analysis of a sandwich microbeam were derived.
  • The microbeam consists of an elastic micro-core and two piezoelectric micro face-sheets, subjected to transverse loads and electric potential.
  • Higher-order sinusoidal shear deformation theory and strain gradient theory were used to model the microbeam's behaviour.
  • An analytical approach was proposed for simply supported microbeams with short-circuited electric potential.
  • Bending results are significantly affected by foundation, material, and load parameters, while maximum displacement and electric potential are insensitive to applied voltage.

Why it matters

Understanding how tiny, layered structures respond to mechanical and electrical forces is crucial for advancing micro-electromechanical systems. This research provides a theoretical framework for predicting the behaviour of such microbeams, which is essential for designing and optimising miniature devices that require precise control over their mechanical and electrical properties.

Commercialisation angle

This foundational analytical work contributes to the theoretical understanding required for designing and optimising micro-electromechanical systems (MEMS). Engineers developing micro-sensors, actuators, or other smart micro-devices could use these insights to predict performance and refine designs. The research is early-stage, providing a basis for future applied development rather than immediate real-world application.

AI-generated from the published abstract. Always read the original work before citing.

Abstract

The governing equations of bending analysis of a sandwich microbeam are derived in this article. The sandwich microbeam includes an elastic micro-core and two piezoelectric micro face-sheets. The microbeam is subjected to transverse loads and two-dimensional electric potential. Higher-order sinusoidal shear deformation beam theory is used for description of displacement field. To account for size dependency in governing equations of bending, strain gradient theory is used to mention higher-order stress and strains. An analytical approach for simply supported sandwich microbeam with short-circuited electric potential is proposed. The numerical results indicate that various types of parameters such as foundation, material and loads parameters have significant effect on the bending results. Comparison of valid references is performed to validate our numerical results. The numerical results indicate that maximum displacement and electric potential are approximately insensitive to applied voltage unlike to beam rotation and beam higher-order rotation of sandwich microbeam that are changed with applied voltage.

Research topics

  • Nonlocal and gradient elasticity in micro/nano structures
  • Mechanical and Optical Resonators
  • Composite Structure Analysis and Optimization

Read the original research

This page summarises published work. The authoritative version sits with the publisher.

DOI: 10.1177/1045389x17733333

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