Scholarlink

Abstract <p>This study examines the reflection behaviour of plane waves both longitudinal and transverse at an impedance boundary within a bio-thermoelastic diffusion half-space governed by the Moore-Gibson-Thompson (MGT) heat conduction model. The formulation is carried out in two dimensions using dimensionless parameters and potential functions for simplification. Analytical treatment reveals the existence of four types of longitudinal waves and one transverse wave, each propagating at distinct velocities. Amplitude ratios for longitudinal (P), thermal (T), chemical potential (Po), and shear vertical (SV) waves are derived and analyzed as functions of incident angle, frequency, and various medium parameters. The influence of impedance conditions and blood perfusion rate on reflection coefficients is illustrated graphically. Several special cases are also discussed. The findings have significant implications in biomedical engineering, geophysical exploration, and seismic wave analysis.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Wave Analysis at the Impendence Boundary of Bio-Thermoelastic Diffusion under MGT Heat Equation

  • 期刊论文

  • 发表日期：

    2025年12月1日

查看全文
  • P. Vikas Singh,
  • E. Rama,
  • Rajneesh Kumar

摘要

Abstract

This study examines the reflection behaviour of plane waves both longitudinal and transverse at an impedance boundary within a bio-thermoelastic diffusion half-space governed by the Moore-Gibson-Thompson (MGT) heat conduction model. The formulation is carried out in two dimensions using dimensionless parameters and potential functions for simplification. Analytical treatment reveals the existence of four types of longitudinal waves and one transverse wave, each propagating at distinct velocities. Amplitude ratios for longitudinal (P), thermal (T), chemical potential (Po), and shear vertical (SV) waves are derived and analyzed as functions of incident angle, frequency, and various medium parameters. The influence of impedance conditions and blood perfusion rate on reflection coefficients is illustrated graphically. Several special cases are also discussed. The findings have significant implications in biomedical engineering, geophysical exploration, and seismic wave analysis.