Unified modeling of harmonic waves in rotating piezoelectric semiconductor
摘要
This study presents a unified modeling framework for wave behavior in rotating piezoelectric semiconductor materials by combining Moore–Gibson–Thompson (MGT) thermoelasticity with Klein–Gordon (KG)‑type nonlocal elasticity. The model simultaneously addresses the finite velocity of heat waves and the influence of long‑range internal forces, offering a coherent approach beyond traditional formulations. Focusing on an n‑type ZnO semiconductor under uniform rotation, the analysis captures the effects of Coriolis and centrifugal forces on wave propagation. It identifies four coupled wave modes influenced by mechanics, thermal energy, electricity, and carriers, along with a fifth non‑propagating vibrational mode. Results highlight the sensitivity of wave amplitudes and reflection patterns to rotation speed, relaxation times, nonlocality, and carrier concentration. The key contributions of this work include the development of an MGT‑based thermoelastic model with memory‑dependent kernels and nonlocal effects for multilayered functionally graded cylinders, derivation of harmonic wave solutions reconciling initial and dynamic responses, benchmarking against generalized thermoelasticity (GN) models to show classical approaches as special cases, identification of parameter ranges that strongly influence reflection coefficients and attenuation, and the inclusion of resource tables and 2D field plots to enhance accessibility for practical applications. This integrated approach fills a critical gap in thermoelastic modeling, offering predictive insights for advanced electromechanical systems and establishing new benchmarks for wave‑based technologies.