Santanu Banerjee, Soumen Shaw, Basudeb Mukhopadhyay
The present paper deals with the memory response on thermal disturbances emanating from a cylindrical cavity in an unbounded thermoelastic solid. Here we have theoretically demonstrated the memory response of thermal disturbances in the generalized magneto-thermo-elastic materials. Firstly, the characteristics of thermoelastic disturbances originated from the cavity in an unbounded elastic solid under the light of generalized magnetothermoelasticity theory with memory dependent derivatives (MDD). For numerical computation, cylindrical-polar coordinate system with radial symmetry subjected to two different types of heat sources into the cavity are considered. An integral transform method and, while in inverse transformation, an efficient and pragmatic NILT (Numerical Inverse Laplace Transform) is adopted. Finally, parameter studies are performed to evaluate the effect of the kernel function and time delay. For thermal wave the results show appreciable differences with those in the usual magneto-thermoelasticity theory.
Thermal memory, Memory dependent derivatives, Generalized magneto-thermoelasticity, Heaviside function, Delta function, Eigen function expansion method
Cite this paper
Santanu Banerjee, Soumen Shaw, Basudeb Mukhopadhyay. (2020) Memory Dependent Thermal Response in Generalized Magneto-thermoelastic Medium Having a Long Cylindrical Cavity. International Journal of Theoretical and Applied Mechanics, 5, 70-81