Mathematical framework of nonlinear elastic waves propagating in pre-stressed media  

作　　者：Jiangcheng CAI Mingxi DENG 

机构地区：[1]College of Aerospace Engineering,Chongqing University,Chongqing 400044,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第10期1705-1716,共12页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.12134002)。

摘　　要：Acoustic nonlinearity holds potential as a method for assessing material stress.Analogous to the acoustoelastic effect,where the velocity of elastic waves is influenced by third-order elastic constants,the propagation of nonlinear acoustic waves in pre-stressed materials would be influenced by higher-order elastic constants.Despite this,there has been a notable absence of research exploring this phenomenon.Consequently,this paper aims to establish a theoretical framework for governing the propagation of nonlinear acoustic waves in pre-stressed materials.It delves into the impact of pre-stress on higher-order material parameters,and specifically examines the propagation of one-dimensional acoustic waves within the contexts of the uniaxial stress and the biaxial stress.This paper establishes a theoretical foundation for exploring the application of nonlinear ultrasonic techniques to measure pre-stress in materials.

关 键 词：acoustoelastic effect nonlinear elastic wave pre-stress medium higher-order elastic constant 

分 类 号：O343[理学—固体力学]