Journal of Computational Applied Mechanics

Wave Propagation in Biological Tissue with Hyperbolic Two-Temperature and Temperature Dependent Effects under MGT Model

Document Type : Research Paper

Authors

1 Cheminde Chandieu 25,1006 Lausanne, Switzerland

2 Department of Mathematics and Computer Science, Transilyania University of Brasov, 500036 Brasov, Romania

3 Academy of Romanian Scientists, Ilfov Street, 3, 050045 Bucharest, Romania

4 Department of Mathematics, Kurukshetra University, Kurukshetra 136119, Haryana, India

Abstract

This paper presents a theoretical study on the reflection of plane waves in a homogeneous, isotropic bio-thermoelastic diffusion half-space incorporating hyperbolic two-temperature (HTT) effects within the framework of Moore-Gibson-Thompson (MGT) heat conduction. The analysis is performed in two dimensions using dimensionless variables and potential function techniques to simplify the governing equations. Employing normal mode analysis, the study identifies the existence of four distinct longitudinal wave types and a single shear vertical (SV) wave, each propagating with different phase velocities. Analytical expressions for the amplitude ratios corresponding to longitudinal (P), thermal (T), chemical potential (Po), and shear vertical (SV) waves are derived and explored as functions of the incident angle, wave frequency, and relevant material parameters. The effects of the HTT parameter, blood perfusion rate, and various thermoelastic theories on the reflection coefficients are investigated through graphical illustrations. Several special cases are also discussed. The findings are relevant to applications in geomechanics, ocean engineering, and biomedical diagnostics, offering valuable insights into wave behavior in bio-thermoelastic diffusion media under the influence of HTT and MGT models. This work contributes a multiscale framework for studying wave propagation in such complex environments.

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Main Subjects

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Journal of Computational Applied Mechanics
Volume 57, Issue 1
January 2026
Pages 84-106
  • Receive Date: 11 October 2025
  • Revise Date: 24 October 2025
  • Accept Date: 30 October 2025