在双相滞后的三层三明治结构中非线性雷利波传播
A A Youssef1, N K Amein2, F A Salama2
1Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt. aya98_ali@science.suez.edu.eg.
Scientific reports
|November 7, 2024
概括
在三层热弹性结构中研究了非线性雷利波传播,使用双相滞后理论. 取决于温度的导热率导致非线性热流,接口跳跃为材料参数测量提供了潜力.
科学领域:
- 固体力学 固体力学是什么
- 连续热力学 连续热力学
- 波浪传播 波浪传播
背景情况:
- 热弹性描述了材料在热和机械负荷下的行为.
- 双相滞后理论通过考虑热流和温度梯度的单独滞后来改进传热模型.
- 材料属性的非线性,例如温度依赖的导热性,使波传播分析复杂化.
研究的目的:
- 为了研究平面,非线性雷利波在三层三明治结构中的传播.
- 为了结合双相滞后热弹性与温度依赖的导热性.
- 分析这些因素对波浪行为和接口现象的影响.
主要方法:
- 利用双相滞后理论进行热弹性分析.
- 假定导热率是温度的线性函数,诱导非线性进化方程.
- 在一个小的参数中使用波安卡雷扩展来找到温度波动的特定解决方案.
- 检查了一个特殊案例,外部面没有引力,并且有规定的温度调节.
主要成果:
- 不线性是通过温度依赖的导热率引入的.
- 庞卡雷膨胀为温度波动提供了一个特殊的解决方案.
- 在接口上观察到实用意义上的数量跳跃.
- 发现一些接口跳跃从二次近似中出现.
结论:
- 该研究提供了对复杂热弹性结构中非线性雷利波传播的见解.
- 接口跳跃的存在,特别是那些出现在更高阶近似的接口跳跃,是一个重要的发现.
- 这些接口跳跃为测量这些结构中的材料参数提供了一个潜在的方法.
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