Vibrations of Phase-Lags on Electro-Magneto Nonlocal Elastic Solid with Voids in Generalized Thermoelastic Cylinder/Disk

The stress-strain-temperature relations, strain-displacement relations and governing equations have been addressed for electro-magneto transversely isotropic nonlocal elastic hollow cylinder with voids in the reference of 3-phase-lag effect heat conduction. strength magnetic field proceeds direction z-axis cylinder/disk. simultaneous differential eliminated by applying elimination technique to obtain unknown functions such as dilatation, equilibrated volume fraction, temperature, displacement stresses. Free vibration analysis has explored stress free thermally insulated/isothermal boundaries. Analytical results are verified employing numerically analyzed presented graphically vibrations thermoelastric damping, frequencies frequency-shift. authenticated analyzing analytical numerical existing literature earlier published work. study present paper based on model generalized thermoelasticity may receive better approach allow relaxation time parameters, which many applications science, technology engineering. also be useful area seismology mining drilling earth’s crust.
 HIGHLIGHTS
 
 thermoelastic conduction
 cylinder/disk
 boundaries
 frequency-shift
 GRAPHICAL ABSTRACT