A numerical study of non-collinear mixing of three-dimensional nonlinear waves in an elastic half-space

Abstract

Interaction of two non-collinear nonlinear ultrasonic waves in an elastic half-space with quadratic nonlinearity is investigated in this paper. The numerical problem is solved by a three-dimensional finite element method as subsequent work of a previous simulation using a two-dimensional semi-discrete central scheme. The nonlinear response of the resonant wave is analyzed both in time and frequency domains, and the method of non-collinear wave mixing is proved to be a promising method which is both effective and sensitive in material characterization and structure damage detection. © 2013 Acoustical Society of America.