Investigating hygrothermal bending behavior of FG nanobeams via local/nonlocal stress gradient theory of elasticity with general boundary conditions

Abstract

The bending response of functionally graded (FG) nanobeams under hygrothermal loading was investigated to emphasize the different scenarios that arise when using simplified and original boundary conditions. The governing equations were derived by using the principle of virtual work on the basis of the local/nonlocal stress gradient theory of elasticity. A Wolfram language code in Mathematica was written by the authors to develop a numerical investigation for different values of the material gradient index, the gradient length parameter, the nonlocal parameter, and considering two distinct types of thermal loading, that is, uniform temperature rise and heat conduction across the thickness of FG nanobeam cross-section.

Keywords:

• Functionally graded nanobeams
• hygrothermal moments
• local/nonlocal stress-gradient theory
• bending behavior
• boundary conditions

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The authors gratefully acknowledge the financial support of the Italian Ministry of University and Research (MUR), Research Grant PRIN 2020 N.2020EBLPLS on “Opportunities and challenges of nanotechnology in advanced and green construction materials” and Research Grant PRIN 2022 “ISIDE: Intelligent Systems for Infrastructural Diagnosis in smartconcretE”, N. 2022S88WAY - CUP B53D2301318.