Abstract
The current article introduces the thermoelastic coupled response of an unbounded solid with a cylindrical hole under a traveling heat source and harmonically altering heat. A refined dual-phase-lag thermoelasticity theory is used for this purpose. A generalized thermoelastic coupled solution is developed by using Laplace’s transforms technique. Field quantities are graphically displayed and discussed to illustrate the effects of heat source, phase-lag parameters, and the angular frequency of thermal vibration on the field quantities. Some comparisons are made with and without the inclusion of a moving heat source. The outcomes described here using the refined dual-phase-lag thermoelasticity theory are the most accurate and are provided as benchmarks for other researchers.
Highlights
One of the first generalized theories is established by Lord and Shulman (L–S) [3] by including a thermal relaxation parameter
Sharma et al [25] considered one-dimensional elasto-thermo-diffusive communications in an infinite solid containing a cylindrical hole under the action of a continuous heat source utilizing the L–S theory
The hoop σ2 and axial σ3 stresses along the radial direction of the cylindrical using the refined dual-phaselag (RDPL) theory are plotted in similar graphs of the radial stress σ1 in Figures 11 and 12
Summary
The thermoelasticity theory is adopted in various applications to obtain interesting formulations due to a variety of microphysical processes. Sharma et al [25] considered one-dimensional elasto-thermo-diffusive communications in an infinite solid containing a cylindrical hole under the action of a continuous heat source utilizing the L–S theory. Xia et al [27] used the L–S model to develop a generalized thermoelastic diffusion theory for the dynamic response of an unbounded body having a cylindrical hole and its surface undergoing a thermal shock. Youssef [30] presented the analysis of thermoelastic communications in an elastic infinite body with a cylindrical cavity a moving heat source with a uniform velocity that thermally shocked at the bounding surface. Youssef [37] discussed the thermoelastic communications in an unbounded solid having a cylindrical hole in the existence of moving heat sources utilizing the L–S model. Some comparisons will be tabulated and shown graphically to study the benefit of different theories and estimate the effect of different parameters
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