重力效应和可变导热率在热弹性半空间与双相滞后模型中的作用
Sonia Bajaj1,2, A K Shrivastav3, Anand Somvanshi4
1Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana, Ambala, 133207, Haryana, India. bajajsonia1501@gmail.com.
Scientific reports
|December 2, 2025
概括
本研究分析了热弹性材料中的非线性热波传播,考虑了重力效应. 它捕获用于非破坏性评估和热诊断的应用的第二波幅.
科学领域:
- 固体力学 固体力学是什么
- 热弹性 热弹性
- 波浪传播 波浪传播
背景情况:
- 材料科学中的非线性现象对于理解复杂的行为至关重要.
- 双相滞后 (DPL) 热弹性模型的热传递具有明显的热化和放松时间.
- 重力影响波浪的传播,特别是在地球物理和工程上下文.
研究的目的:
- 在重力下的横向同位素热弹性半空间中分析非线性平面波传播.
- 为了实际应用,捕捉热波的第二波幅.
- 为了研究温度依赖的导热率对波浪行为的影响.
主要方法:
- 在双相滞后 (DPL) 热弹性框架中的配方.
- 纳入温度依赖的导热率来引入非线性.
- 使用正常模式分析和Poincaré型扰动扩展用于解决方案.
主要成果:
- 在重力下进行非线性热弹性波传播的新型分析解决方案.
- 二次波幅的量化,表明非线性效应.
- 使用MATLAB的热和机械反应的可视化.
结论:
- 该模型有效地捕捉了非线性热反应和引力诱导的影响.
- 结果为诊断和材料评估中的应用提供了关键的见解.
- 该研究强调了在热弹性波分析中考虑非线性和重力的重要性.
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