Thermoelastic interactions in a hollow cylinder due to a continuous heat source without energy dissipation

Abstract

The linear generalized Green-Naghdi thermoelasticity theory without energy dissipation is employed. The study of thermoelastic interactions in a hollow cylinder under a continuous heat source is carried out. Firstly, Laplace and Hankel transforms are employed to solve the problem without the time domain. Then, the state space approach is employed to get the exact solution of the problem in the space domain. Once again, the inverse Laplace transforms is used to get the solutions in the time domain. Accurate terminologies for the temperature, thermoelastic potential, axial displacement, dilatation, and stresses are derived. Numerical outcomes for field variables are presented with the view of illustrating the theoretical results.

Effects of the Nonlocal Thermoelastic Model in a Thermoelastic Nanoscale Material

“…Sarkar et al [15] have studied the waves propagation in nonlocal thermo-elastic solids without energy dissipation. Zenkour and Kutbi [16] have investigated the thermo-elastic interaction in a hollow cylinder caused by continuous thermal sources without energy dissipations. Marin [17] presented a partition of energy in a micro-stretch thermo-elastic body.…”

Thermally induced vibrations in an inhomogeneous fiber-reinforced thermoelastic medium with gravity

“…A two-dimensional model of generalized thermoelasticity under three-phase-lag and Green-Naghdi II theories were considered by Said (2015). Zenkour and Abouelregal (2019); Zenkour and Kutbi (2019); Zenkour and Kutbi (2020), Zenkour and Mashat (2020) have investigated various problems of wave propagation under different boundary conditions using generalized thermoelasticity theories and have obtained some qualitative results.…”