Fractional nonlocal Rayleigh waves in blood-filled porous skin under thermal prestress
Materials Today Communications, cilt.57, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 57
- Basım Tarihi: 2026
- Doi Numarası: 10.1016/j.mtcomm.2026.116541
- Dergi Adı: Materials Today Communications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Compendex, INSPEC
- Anahtar Kelimeler: Biot poroelasticity, Blood-filled porous skin, Fractional calculus, Nonlocal elasticity, Sobol sensitivity, Thermo-viscoelasticity, Three-phase-lag heat conduction
- Recep Tayyip Erdoğan Üniversitesi Adresli: Evet
Özet
A complete analytical–computational formulation is developed for Rayleigh-wave propagation in vascularized skin represented as a blood-filled porous, thermo-viscoelastic half-space under temperature-dependent hydrostatic prestress. The extracellular matrix is treated as a prestressed viscoelastic skeleton, blood is represented by a compressible pore phase governed by a reduced low-frequency Biot–Darcy description, and thermal transport follows a spatially nonlocal fractional three-phase-lag law. Hydrostatic loading modifies the incremental Lamé moduli through a Murnaghan third-order acoustoelastic expansion. The derivation proceeds with the systematic construction of the strain components, tangent moduli, mixture momentum equations, fluid-content balance, Darcy pressure equation, fractional heat-flux operator, harmonic transformation, all sixteen elements of the four-by-four depth-amplitude matrix, modal eigenvectors, physical nonlocal surface tractions, and the drained/undrained condition with isothermal/insulated secular determinants. A complete dimensional analysis of the Darcy pressure equation, an explicit fractional Kelvin–Voigt closure for the viscoelastic tangent moduli, and an explicit root-admissibility criterion are provided. The subsequent numerical calculations are analyzed using the one-at-a-time sweep, Sobol first-order and total-effect indices with bootstrap confidence intervals, and response surfaces involving two parameters at a time. All reported sweeps use the elastic-prestressed limit of the viscoelastic closure; the general fractional Kelvin–Voigt extension is stated but not exercised numerically. As is seen from the ranking of sensitivity indices, blood porosity is the dominant factor of variability in phase velocity (total-effect index ≈0.45–0.49), the fractional order is the dominant factor of variability in attenuation ≈0.33–0.34, thermal-displacement lag determines the penetration depth ≈0.47–0.48), and the fractional order is the single most important source of dissipated heat ≈0.27–0.29. The compressive and tensile prestress regimes are separated in the sensitivity analysis because α*>1/T0reverses the sign of the base-state hydrostatic stress. Thermal boundary conditions affect secondary ranking and high-frequency behavior of the response. The reduced Biot–Darcy model is shown to be valid for ω≤0.1ωB, where ωB=ηbϕ/κρbis the Biot characteristic frequency. This framework provides a rigorous theoretical foundation for the study of coupled waves on the surface of perfused soft tissue with clearly stated assumptions needing validation in experiments before clinical interpretations can be made.