Title :
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
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;
Conference_Titel :
Ultrasonics Symposium, 2004 IEEE
Print_ISBN :
0-7803-8412-1
DOI :
10.1109/ULTSYM.2004.1417888
