Optimized excitation sources and exact solutions for ultrasonic field propagation in a nonlinear medium with hysteretic behavior

Author

Dos Santos, S. ; Haumesser, L. ; Meulen, E.V. ; Matar, O. Bou ; Gusev, Vitalyi

Author_Institution

GIP Ultrasons, Blois, France

Volume

2

fYear

2004

fDate

23-27 Aug. 2004

Firstpage

930

Abstract

Ultrasonic wave propagation in a microhomogeneous material with hysteretic strain-stress behavior was studied by the application of a Lie group algebraic method in order to find optimized excitation sources. Starting from previously published work (V. Gusev, J. Acoust. Soc. Am., vol.107, no.6, p.3047-3058, 2000), the particle velocity of an ultrasonic wave propagating in the nonlinear medium is described, avoiding the absolute term. This algebraic method provides a class of exact solutions for particle velocity in a nonlinear medium.

Keywords

Lie algebras; Lie groups; elastic hysteresis; nonlinear acoustics; nonlinear media; stress-strain relations; ultrasonic propagation; Lie group algebraic method; excitation source optimization; hysteretic strain-stress behavior medium; microhomogeneous material; nonlinear medium; ultrasonic field propagation; ultrasonic wave particle velocity; Acoustic pulses; Acoustic waves; Hysteresis; Inorganic materials; Laser excitation; Nonlinear acoustics; Nonlinear equations; Optimization methods; Pulse measurements; Virtual manufacturing;

fLanguage

English

Publisher

ieee

Conference_Titel

Ultrasonics Symposium, 2004 IEEE

ISSN

1051-0117

Print_ISBN

0-7803-8412-1

Type

conf

DOI

10.1109/ULTSYM.2004.1417888

Filename

1417888