Heat map analysis of wave dynamics in nonlocal Kelvin-Voigt piezo-semiconductors under memory-dependent heat flux


Gupta V., Hussain S. M., YAYLACI M., Das S.

CONTINUUM MECHANICS AND THERMODYNAMICS, cilt.38, sa.3, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 3
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1007/s00161-026-01472-6
  • Dergi Adı: CONTINUUM MECHANICS AND THERMODYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

This work investigates the coupled thermo-electro-mechanical behavior of a piezo-semiconductor medium by integrating spatial nonlocality, temporal nonlocality, Kelvin-Voigt (KV) viscoelasticity, and memory-dependent derivatives into a unified analytical framework. The governing equations combine a Klein-Gordon (KG) type nonlocal operator with three-phase-lag heat conduction, semiconductor transport, and piezoelectric coupling, and are solved using the normal-mode approach. The analysis reveals that wave-field modifications remain highly concentrated within a thin boundary-interaction zone determined by the KG nonlocal parameters, where the competing effects of spatial nonlocality, temporal relaxation, KV viscosity, and memory-driven kernels jointly influence the penetration and strength of thermo-electro-mechanical responses. Spatial nonlocality suppresses the mechanical deformation and reduces the near-surface thermal amplitude, while simultaneously intensifying the coupled stress, carrier concentration, electric potential, and electric-displacement fields. Temporal relaxation mechanisms moderate these variations by redistributing amplitudes over depth and smoothing sharp spatial gradients. KV-viscosity significantly suppresses the electrical fields. By capturing the coupled roles of nonlocality, viscoelasticity, thermal relaxation, and memory-driven carrier-electromechanical interactions, the model provides a comprehensive basis for analyzing multiphysics wave behavior in piezoelectric semiconductor media relevant to SAW sensors, acousto-electronic components, transducers, and high-frequency signal-processing devices.