We study the thermoelastic response of a microstretch half-space immersed in an
unbounded, inviscid fluid under initial stress; the medium is studied using the
Green–Naghdi theory (G-N III) and the three-phase-lag (3PHL) model. The relevant
equations were formulated in the context of the G-N III theory and the 3PHL model.
We obtain an analytical solution to the problem using normal mode methods.
Magnesium crystal elements are used as an application to compare the initial stress
predictions of a microstretch thermoelastic immersed in an infinite liquid of
G-N theory type III with those of the 3PHL model. It was found that the
initial stress has a significant influence on all physical quantities. The three
wave number values are also compared. It is concluded from the present
contribution that some advanced microstretch thermoelastic systems deserve
study.
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