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article · Case Studies in Thermal Engineering

Refined generalized theory for thermoelastic waves in a hollow sphere due to maintained constant temperature and radial stress

20256 citationsOpen accessKafr el-Sheikh University

Abstract

The article introduces thermoelastic waves in a hollow sphere under maintained constant temperature and radial stress. A unified thermal conduction equation is derived due to Green and Naghdi II, III, three-phase-lag, and Lord and Shulman coupled thermoelastic theories. The problem is treated analytically adopting Laplace transform. The analytical explanation of the thermoelastic response of hollow spheres has been obtainable to presume temperature, radial displacement, thermoelastic potential, dilatation, and stresses. A lot of comparisons of the outcomes for the three theories are presented. The effects of two thermoelastic parameters as well as the dimensionless time on the field variables are examined.

Research topics

  • Thermoelastic and Magnetoelastic Phenomena
  • Elasticity and Wave Propagation
  • Ultrasonics and Acoustic Wave Propagation

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DOI: 10.1016/j.csite.2025.105905

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