Analysis of thermoelectric viscoelastic wave characteristics in the presence of a continuous line heat source with memory dependent derivatives

摘要

Abstract In the present work, the definition of memory dependent derivative (MDD) heat transfer in an infinite solid body was used to investigate the problem of wave characteristics in an unbounded thermoelectric viscoelastic solid caused by a continuous line heat source in the presence of a uniform magnetic field. Both Laplace and Hankel transform strategies are used to acquire the widespread answer in a closed form. Analytical findings were obtained for the distribution within the medium of various fields such as temperature, displacement, and stresses. For the inversion of the Laplace transformations, a computational approach is used. The distributions of the numerical consequences of the non-dimensional considered bodily variables are represented graphically. Detailed comparative evaluation is represented thru the numerical outcomes to estimate the results of the kernels, time-delay and magnetic number on the behavior of all variable. The effect offers a concept to research main thermoelectric viscoelastic materials as any other type of pertinent materials.