The plane waves of generalized thermo-microstretch porous medium with temperature-dependent elastic properties under three theories. (English) Zbl 1501.74039
Summary: This paper employs various generalized theories of thermoelasticity to study how a microstretched medium consisting of voids has temperature dependency over it and is affected by relaxation time. It leads to the formation of ruling equations, and the application of normal mode analysis helps to determine various variables such as expressions of displacement components, components of the first moment and micro-rotation as well as couple stress, fields of temperature, components representing variation in volume fraction field and stress, etc. Also, it was made sure that the Lord Shulman theory, the coupled theory, and the Green Lindsay theory, where the prior two contain one relaxation time and the latter contains two relaxation times, have been utilized for result validation by comparing the attained results of thermal changes to these theories. Thus, the graphical illustration of these comparisons helps determine the impact that void parameters and relaxation times create along with conclusions regarding their temperature dependency. Some particular cases of interest are deducted from the present investigation.
MSC:
| 74J05 | Linear waves in solid mechanics |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 74F05 | Thermal effects in solid mechanics |
Keywords:
relaxation time; normal mode analysis; micro-rotation; couple stress; Lord-Shulman theory; Green-Lindsay theory; void parameterReferences:
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