Thermal stress and deformation analysis of a size-dependent curved nanobeam based on sinusoidal shear deformation theory

Abstract

In this paper, the analytical approach for thermal stress and deformation analysis of a curved nanobeam is presented. The nanobeam is subjected to transverse mechanical and thermal loads while resting on Pasternak's foundation. Sinusoidal shear deformation theory is employed to derive displacement field of curved nanobeam. In addition, nonlocal thermo-elasticity relations are employed to derive governing equations of thermal analysis based on principle of virtual work. The analytical results are presented for simply-supported curved nanobeam to discuss the influence of important parameters on the results of thermal stress. The important parameters include spring and shear parameters of foundation, thermal loads, nonlocal parameter and radius of curvature of curved nanobeam. The results of our problem are applicable to design of curved nanobeams subjected to thermal and mechanical loads.