Fractional three-phase-lag thermoviscoelastic Rayleigh wave propagation in a nonlocal functionally graded porous half-space modelling skin tissue: Secular equation, dispersion analysis, and sobol global sensitivity

Khan M. A., Alzahrani S., Jahangir A., Abualnaja K. M., Riaz U., YAYLACI M.

Chinese Journal of Physics, cilt.103, ss.828-865, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 103
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1016/j.cjph.2026.05.031
  • Dergi Adı: Chinese Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.828-865
  • Anahtar Kelimeler: Computational biomechanics, Fractional differential operators, Functionally graded materials, Inverse problems, Medical elastography, Nonlocal elasticity, Rayleigh surface waves, Sobol indices, Three-phase-lag heat conduction, Variance-based sensitivity analysis
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

This paper presents an advanced computational approach to Rayleigh wave propagation in functionally graded biological materials, incorporating Caputo fractional derivatives, three-phase-lag (TPL) heat transfer, nonlocal elasticity by Eringen, dynamic poroelasticity, and exponential material inhomogeneity. A complex-valued secular equation has been derived providing dispersion curves from 0to100MHz. The theoretical background consists of six classical thermoelastic models, all reproduced with precision better than 10−8. According to global sensitivity analysis using Sobol method with Monte Carlo simulations (N=104): (i) spatial nonhomogeneity (α*) controls the penetration depth (ST=0.68), (ii) thermal nonlocality (ϵ2) controls the attenuation (ST=0.52), (iii) fractional nonlocality (α) produces a phase velocity shift of 12−18%, and (iv) poroelasticity effects become irrelevant at frequencies larger than 5MHz. Inhomogeneity may cause an error of up to 40% in estimating the penetration depth ignoring heterogeneity. Multi-frequency medical imaging techniques benefit from this work by increasing tumor contrast up to 18%, and personalized thermal treatment design improves temperature predictions by 31%.