Nonlinear deformation analysis of magneto-electro-elastic nanobeams resting on elastic foundation by using nonlocal modified couple stress theory

• Published in: European journal of mechanics, A, Solids A, Solids, 2024-01, Vol.103, p.105158, Article 105158
• Main Authors: Zheng, Yu-fang, Zhou, Yang, Wang, Feng, Chen, Chang-ping
• Format: Article
• Language: English
• Subjects: Magneto-electro-elastic nanobeam; Nonlinear bending behavior; Nonlocal modified couple stress theory; Von Karman nonlinear theory
• ISSN: 0997-7538; 1873-7285
• DOI: 10.1016/j.euromechsol.2023.105158

This article investigates a comprehensive analysis of the bending problem pertaining to magneto-electro-elastic (MEE) nanobeams on the Winkler-Pasternak foundation. Taken into account the influence of size effects of nano structures, a non-classical mechanical model is established to describe the bending behavior for MEE nanobeams. In this research, the nonlocal modified couple stress theory is utilized to accurately capture both the softening and hardening effects resulting from the size effect. The theory of third-order shear deformation and von Karman geometric nonlinear theory are employed in conjunction with the introduction of Maxwell's equation to develop the model of MEE nanobeam, the control equation of the nonlinear bending problem of MEE nanobeams is obtained by Minimum potential energy principle, and it is solved by Galerkin method. Finally, this study provides a detailed discussion on the influences of the ratio of nonlocal parameters and length-scale parameters, Winkler-Pasternak coefficient, external magnetic potential, external voltage and span-thickness ratio on nonlinear deflection of nanobeam. •The nonlinear bending behaviors of magneto-electro-elastic nanobeams on Winkler-Pasternak foundation are investigated.•Magneto-electro-elastic coupling are considered.•The effects of two scale parameters are considered.•The nonlinear governing equations are solved by the Galerkin method.•Numerical examples are exhibited to reveal the effects of some factors on the bending behaviors.