A simplified shear and normal deformations nonlocal theory for bending of nanobeams in thermal environment

• A three-unknown shear and normal deformations theory is employed for the thermal bending of nanobeams.
• Putting the beam in thermal environment leads to a reduction in both shear and normal strains.
• The deflection of nanobeams under uniform and point loads is compared with the available ones in the literature.
• The present theory is more accurate than the classical and shear deformation theories.

This article presents a simplified three-unknown shear and normal deformations nonlocal beam theory for the bending analysis of nanobeams in thermal environment. Eringen's nonlocal constitutive equations are considered in the analysis. Governing equations are derived according to the present refined theory using Hamilton's principle. Central deflections of nanobeams under uniform and point loads are given and compared with the available ones in the literature. Additional results of displacement and stresses are presented for future comparison. The effects of nonlocality, temperature parameters, length of beam, length-to-depth ratio as well as shear and normal strains are all investigated.

The effects of (a) shear strain and (b) normal strain on the deflection of nanobeam for various values of temperature load.Figure optionsDownload as PowerPoint slide