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

作者：Zenkour Ashraf M^*; Sobhy Mohammed

来源：Physica E: Low-Dimensional Systems and Nanostructures , 2015, 70: 121-128.

DOI：10.1016/j.physe.2015.02.022

• Nonlocal themy
• Nanobeams
• Bending
• Normal deformation

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.

• 出版日期2015-6