具有二次非线性的弹性固体中平面波共振混合的充要条件。

Necessary and sufficient conditions for resonant mixing of plane waves in elastic solids with quadratic nonlinearity.

作者信息

Gao Xiang, Qu Jianmin

机构信息

Department of Mechanical Engineering, Tufts University, Medford, Massachusetts 02155, USA.

出版信息

J Acoust Soc Am. 2020 Oct;148(4):1934. doi: 10.1121/10.0002009.

DOI:10.1121/10.0002009

PMID:33138532

Abstract

This paper studies the interactions of two plane waves in elastic solids with quadratic nonlinearity. In particular, the necessary and sufficient conditions for resonant mixing of two plane waves are derived. It is shown that the conventional resonance condition for resonant mixing of plane waves is only a necessary condition, not sufficient. Based on the newly derived necessary and sufficient conditions, resonant mixing of various types of plane waves are investigated and specific conditions for generating a resonant mixed wave are obtained for each case. These results are useful for developing nonlinear ultrasonic nondestructive evaluation techniques using the wave mixing method.

摘要

本文研究了具有二次非线性的弹性固体中两个平面波的相互作用。特别地，推导了两个平面波共振混合的充要条件。结果表明，平面波共振混合的传统共振条件只是必要条件，而非充分条件。基于新推导的充要条件，研究了各类平面波的共振混合，并针对每种情况获得了产生共振混合波的具体条件。这些结果对于利用波混合方法开发非线性超声无损评估技术具有重要意义。