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If the temperature of an object is changed while it is prevented from expanding or contracting, the object is subjected to stress. The stress is compressive if the object expands in the absence of constraint and tensile if it contracts. This stress resulting from temperature change is known as thermal stress. It can be quite large and can cause damage. To avoid this stress, engineers may design components so they can expand and contract freely. For instance, on highways, gaps are deliberately...
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Two temperatures effect on wave propagation in microstretch thermoelastic medium with microtemperatures.

Mandeep Kaur1, Rajneesh Kumar2, Saurav Sharma3

  • 1Department of Mathematics, Sri Guru Teg Bahadur Khalsa College, Sri Anandpur Sahib, District Ropar, 140118, India.

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|December 13, 2025
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Summary

This study analyzes wave propagation in microstretch thermoelastic solids using two-temperature theory. Findings reveal significant changes in wave characteristics, offering insights for advanced material design and non-destructive evaluation.

Keywords:
Attenuation coefficientMicrostretchMicrotemperaturesPenetration depthPhase velocitySpecific lossTwo temperatures

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Area of Science:

  • Solid Mechanics
  • Continuum Thermodynamics
  • Wave Propagation

Background:

  • Classical thermoelasticity lacks microstructural and dual-temperature considerations.
  • Microstretch theory accounts for microstructural deformations.
  • Two-temperature theory captures distinct thermal field effects.

Purpose of the Study:

  • Investigate wave propagation in microstretch thermoelastic solids under two-temperature theory.
  • Analyze seven distinct wave types and their characteristics.
  • Examine the influence of two-temperature effects on wave propagation parameters.

Main Methods:

  • Derivation of explicit expressions for phase velocity and attenuation.
  • Analysis of longitudinal displacement, thermal, microstretch, and microtemperature waves.
  • Quantitative illustration of wave parameter variations using graphical presentations.

Main Results:

  • Identified seven wave types including coupled transverse displacement and microrotational waves.
  • Demonstrated significant modifications in wave characteristics due to microstretch and microtemperature fields.
  • Observed emergence of new wave modes and altered attenuation behavior compared to classical models.

Conclusions:

  • Two-temperature theory significantly impacts wave propagation in microstretch thermoelastic solids.
  • Findings provide crucial insights for designing advanced materials.
  • Results are valuable for non-destructive evaluation techniques in microstructured materials.