Fractional photo-thermoelasticity of microelongated nanostructure semiconductors medium with hydrodynamic interactions

IF 2.9 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2025-06-06 DOI:10.1007/s00707-025-04393-8

M. Adel, Eman Ibrahim, Shreen El-Sapa, Alaa A. El-Bary, Khaled Lotfy

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Abstract

This study investigates the propagation of photo-thermoelastic waves in a hydrodynamic nonlocal semiconductor medium incorporating microelongation effects and governed by a fractional-order heat conduction model. The theoretical framework is based on coupled differential equations describing carrier density, thermal conduction, elastic deformation, and heat diffusion. The governing equations in one dimension (1D) include the fractional-order carrier density equation and the fractional heat conduction law, where the Caputo fractional derivative is used to model memory-dependent thermal behavior. By applying the normal mode analysis technique, we derive analytical solutions for various physical fields under prescribed boundary conditions. A comprehensive wave propagation analysis is conducted to assess the influence of the fractional order and nonlocal parameters. The results highlight the critical roles of fractional calculus and nonlocality in accurately describing semiconductor wave behavior, particularly in microstructured and thermally sensitive environments.

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具有水动力相互作用的微细长纳米结构半导体介质的分数光热弹性

本文研究了光热弹性波在含微伸长效应的非局部流体力学半导体介质中的传播，并由分数阶热传导模型控制。理论框架是基于描述载流子密度、热传导、弹性变形和热扩散的耦合微分方程。一维（1D）的控制方程包括分数阶载流子密度方程和分数阶热传导定律，其中Caputo分数阶导数用于模拟依赖于记忆的热行为。应用正模分析技术，导出了在规定边界条件下各种物理场的解析解。进行了全面的波传播分析，以评估分数阶和非局部参数的影响。结果突出了分数阶微积分和非定域性在精确描述半导体波行为方面的关键作用，特别是在微结构和热敏环境中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.