ABSTRACT

This chapter examines the simultaneous impacts of the existence of a non-uniform magnetic field in the environment and applying axial loading on the beam-type element on the buckling responses of such a structure consisting of FG-GOR nanocomposite materials, using a refined shear deformable beam model. The equivalent material properties of the nanocomposite can be obtained using the micromechanical method presented in Part 1. Also, the procedure of deriving the governing equations of the problem is as same as that followed in former chapters. However, the time-dependent parts of the governing equations must be ignored due to the fact that the problem under observation is a static one. Hence, Eqs. (2.166)–(2.168) can be employed to formulate the problem. The axial force applied on the beam and the buckling load will be entered in the aforementioned equations just as same as thermal force. However, no thermal gradient exists in the present problem.