EFFECT OF PHASE LAGS ON THERMOELASTIC FUNCTIONALLY GRADED MICROBEAMS SUBJECTED TO RAMP-TYPE HEATING

This article deals with the study of generalized solution for the vibration of functionally graded (FG) microbeam in the context of the dual phase lag model. Numerical results are presented for the FG beam subjected to a ramp-type heating and has exponentially varying material properties through the thickness. The effect of the ramping time parameter is studied on the lateral vibration, temperature, displacement, stress, the moment and the strain energy of the FG microbeam. The influence of the thickness of the beam is also analyzed. A comparison of the results for different theories is presented. The results obtained theoretically have been computed numerically and are presented graphically. Some particular cases are also discussed in the context of the problem.