Efficient Finite Element Modeling of Scattering for 2D and 3D Problems

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

2 Citations (Scopus)

Abstract

The scattering of waves by defects is central to ultrasonic NDE and SHM. In general, scattering problems must be modeled using direct numerical methods such as finite elements (FE), which is very computationally demanding. The most efficient way is to only model the scatterer itself and a minimal region of the surrounding host medium, and this was previously demonstrated for 2-dimensional (2D) bulk wave scattering problems in isotropic media. An encircling array of monopole and dipole sources is used to inject an arbitrary wavefront onto the scatterer and the scattered field is monitored by a second encircling array of monitoring points. From this data, the scattered field can be projected out to any point in space. If the incident wave is chosen to be a plane wave incident from a given angle and the scattered field is projected to distant points in the far-field of the scatterer, the far-field scattering or S-matrix may be obtained, which encodes all the available scattering information. In this paper, the technique is generalized to any elastic wave geometry in both 2D and 3D, where the latter can include guided wave scattering problems. A further refinement enables the technique to be employed with free FE meshes of triangular or tetrahedral elements.

Original languageEnglish
Title of host publicationHEALTH MONITORING OF STRUCTURAL AND BIOLOGICAL SYSTEMS 2010, PTS 1 AND 2
EditorsT Kundu
Place of PublicationBELLINGHAM
PublisherSociety of Photo-Optical Instrumentation Engineers (SPIE)
Pages-
Number of pages7
ISBN (Print)978-0-8194-8065-1
DOIs
Publication statusPublished - 2010
EventConference on Health Monitoring of Structural and Biological Systems 2010 - San Diego, United States
Duration: 8 Mar 201011 Mar 2010

Conference

ConferenceConference on Health Monitoring of Structural and Biological Systems 2010
CountryUnited States
CitySan Diego
Period8/03/1011/03/10

Cite this

Wilcox, P. D., & Velichko, A. (2010). Efficient Finite Element Modeling of Scattering for 2D and 3D Problems. In T. Kundu (Ed.), HEALTH MONITORING OF STRUCTURAL AND BIOLOGICAL SYSTEMS 2010, PTS 1 AND 2 (pp. -). Society of Photo-Optical Instrumentation Engineers (SPIE). https://doi.org/10.1117/12.847569