A new nonlinear approximation for elastic wave scattering

Modelling of nonlinear wave scattering in a delaminated elastic bar

Integrity of layered structures, extensively used in modern industry, strongly depends on the quality of their interfaces; poor adhesion or delamination can lead to a failure of the structure. Can nonlinear waves help us to control the quality of layered structures? In this paper, we numerically model the dynamics of a long longitudinal strain solitary wave in a split, symmetric layered bar. Th...

Nonlinear waves and wave scattering in layered elastic waveguides

Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem

We consider the application of a perfectly matched layer (PML) technique to approximate solutions to the elastic wave scattering problem in the frequency domain. The PML is viewed as a complex coordinate shift in spherical coordinates which leads to a variable complex coefficient equation for the displacement vector posed on an infinite domain (the complement of the scatterer). The rapid decay ...

Antiplane wave scattering from a cylindrical cavity in pre-stressed nonlinear elastic media

The effect of a longitudinal stretch and a pressure-induced inhomogeneous radial deformation on the scattering of antiplane elastic waves from a cylindrical cavity is determined. Three popular nonlinear strain energy functions are considered: the neo-Hookean, the Mooney-Rivlin and a two-term Arruda-Boyce model. A new method is developed to analyse and solve the governing wave equations. It expl...

Sensitive imaging of an elastic nonlinear wave-scattering source in a solid

We have developed an imaging method for locating isolated nonlinear scattering source~s! in solids. It relies on extracting the nonlinear response of a solid by modulation of a high by a low-frequency wave, and employing moving-window, synchronous detection. The resulting image consists of nonlinear wave reflection profiles with remarkable sensitivity to an isolated elastic nonlinear source~s!....