Electromechanical bending of Porous Functionally Graded Piezoelectric (PFGP) nanobeams with flexoelectricity

Alaa A. Abdelrahman , Hanaa E. Abdel-Mottaleb , Mohamed A. Eltaher , Azza M. Abdraboh , Abdallah M. Kabeel

Abstract

This study develops a size-dependent model based on modified nonlocal strain gradient theory to examine the effects of flexoelectricity and porosity distribution on the electromechanical bending behavior of piezoelectric functionally graded (FG) nanocomposite beams on Winkler-Pasternak foundations under different loading conditions. The nanocomposite comprises a porous FG core with piezoelectric face layers, using a nonlinear power law for thorough-thickness FG material gradation. Various porosity distribution patterns are considered, and closed-form solutions for electromechanical bending deflection are derived and validated. Results show that nonclassical bending behavior can be optimized by adjusting FG gradation, porosity, flexoelectricity, and foundation parameters, providing insights for MEMS and NEMS applications.

Key Words

electromechanical bending; flexoelectric; functionally graded porous material; modified electromechanical nonlocal strain gradient theory; piezoelectric layers; porosity distribution; Winkler- Pasternak elastic foundation

Address

Alaa A. Abdelrahman: Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt Hanaa E. Abdel-Mottaleb: Structural Engineering Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt Mohamed A. Eltaher: Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia Azza M. Abdraboh: Physics Department, Faculty of Science, Benha University, Benha, Egypt Abdallah M. Kabeel: Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt

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