Aleshin V, Gusev V, Zaitsev V
Laboratoire d'Acoustique, UMR-CNRS 6613, Faculté des Sciences, Université du Maine, av. O. Messiaen, 72085, Le Mans, France.
Ultrasonics. 2004 Apr;42(1-9):1053-9. doi: 10.1016/j.ultras.2003.12.023.
Materials with hysteretic non-linearity have the property of memorizing specific previous extrema in the stress/strain loading history. Because of this complexity, the analytical theory describing the non-linear evolution of acoustic waves in such materials is currently restricted to simplex wave propagation processes with a single minimum and a single maximum over a wave period. In the present paper a numerical model is presented which is valid for an arbitrary strain wave profile, and the results for the frequency-mixing process in acoustic waves composed initially of two harmonic frequency components are analyzed. The model simulations demonstrate that an initially complex wave transforms into a simplex wave during propagation. In addition, we have studied the mutual influence of the initial frequency components, and we have found regimes of induced absorption and induced transparency.
具有滞后非线性的材料具有记忆应力/应变加载历史中特定先前极值的特性。由于这种复杂性，描述此类材料中声波非线性演化的解析理论目前仅限于在一个波周期内具有单个最小值和单个最大值的单波传播过程。本文提出了一个对任意应变波轮廓都有效的数值模型，并分析了最初由两个谐波频率分量组成的声波中频率混合过程的结果。模型模拟表明，一个最初复杂的波在传播过程中会转变为单波。此外，我们研究了初始频率分量的相互影响，并发现了诱导吸收和诱导透明的机制。
