非局部对旋转热弹性介质的影响,具有扩散和双孔度
Doaa M Salah1, A M Abd-Alla2, S M M El-Kabeir3
1Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.
Scientific reports
|May 7, 2025
概括
本研究使用格林-林赛理论分析了非局部,旋转,双孔介质中的热弹性扩散. 结果显示了时间和多孔度等参数如何影响波浪传播,为地球物理学和生物医学工程提供了洞察力.
科学领域:
- 连续力学 连续力学
- 热弹性 热弹性 热弹性
- 孔隙介质物理 孔隙介质物理
背景情况:
- 热弹性扩散涉及合的热传递,弹性变形和质量扩散.
- 非局部效应,旋转和双孔性显著影响材料的行为.
- 格林-林赛理论结合了热放松时间,提供了比经典理论更全面的模型.
研究的目的:
- 在2D热弹性扩散模型中研究热力学相互作用.
- 分析非局部效应,旋转和双孔性的影响.
- 将结果与经典 (CT),Lord-Shulman (LS) 和Green-Lindsay (GL) 理论进行比较.
主要方法:
- 将热负荷应用于同质同otropic介质的外部自由表面.
- 利用Lame的潜力和分析解决方案的正常模式技术.
- 使用MATLAB进行数值计算和图形表示.
主要成果:
- 对热应力,位移,温度,平衡应力和扩散的衍生分析表达式.
- 描绘了时间,非局部参数,双孔度和旋转对场数量的影响.
- 在理论和数值结果之间以及不同热弹性理论之间证明了密切一致.
结论:
- 该研究提供了复杂介质中热弹性扩散的全面分析.
- 数字模拟突出了非局部参数,旋转和双孔度对波浪传播的重大影响.
- 这些发现为地质物理学和生物医学工程的应用提供了宝贵的见解.
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