考虑应力松弛效应的线性热粘弹性波传播的统一框架
A unified framework for linear thermo-visco-elastic wave propagation including the effects of stress-relaxation
摘要：
从守恒定律出发，提出了一个研究均匀线性热粘弹性（TVE）连续介质中波传播的统一框架。在自由空间中，这种介质允许两种热压缩模式和一种剪切模式。我们提供了相应的波数，这有利于这些模式的色散的理解渐近近似，并考虑常见的固体和流体以及软材料的蠕变顺应性和应力松弛是重要的。我们进一步说明如何常用的简单的声学/弹性耗散结构理论可以通过这个框架的特定限制。因此，我们的框架使我们能够：i）同时建模涉及流体和固体的界面，ii）轻松量化给定配置中的热或粘性损失的影响。作为一个例子，一般的框架被施加到典型的问题，从两个TVE半空间之间的界面完全接触的散射。为了说明，我们提供了涉及空气，水，钢和橡胶的流体-固体界面的结果，特别注意应力松弛的影响。
英文摘要：
We present a unified framework for the study of wave propagation in homogeneous linear thermo-visco-elastic (TVE) continua, starting from conservation laws. In free-space such media admit two thermo-compressional modes and a shear mode. We provide asymptotic approximations to the corresponding wavenumbers which facilitate the understanding of dispersion of these modes, and consider common solids and fluids as well as soft materials where creep compliance and stress relaxation are important. We further illustrate how commonly used simpler acoustic/elastic dissipative theories can be derived via particular limits of this framework. Consequently, our framework allows us to: i) simultaneously model interfaces involving both fluids and solids, and ii) easily quantify the influence of thermal or viscous losses in a given configuration of interest. As an example, the general framework is applied to the canonical problem of scattering from an interface between two TVE half spaces in perfect contact. To illustrate, we provide results for fluid-solid interfaces involving air, water, steel and rubber, paying particular attention to the effects of stress relaxation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
