Modelling of Thermo Magnetic Field Effects on Stability Analysis of a Single Walled Carbon Nanotube Rested on Polymer Matrix

Abstract: This paper presents the study of non local thermo elastic waves in a single walled carbon nanotube resting on polymer matrix via in plane magnetic effect. The analytical formulation is developed based on Eringen’s non-local elasticity model. The governing equations that contains partial differential equations for single walled carbon nanotube is derived by considering thermal field and longitudinal Lorenz magnetic force. The ultrasonic wave propagation analysis is carried out by spectral analysis method. The polymer elastic matrix is considered as a function of temperature change. The computed non dimensional wave frequency, phase velocity and group velocity are investigated and are presented in the form of dispersion curves. Table values are presented for different physical values and are compared with exiting literature