Unlike shock wave lithotripsy, burst wave lithotripsy (BWL) uses tone bursts, consisting of many periods of a sinusoidal wave. In this work, an analytical theoretical approach to modeling mechanical stresses in a spherical stone was developed to assess the dependence of frequency and stone size on stress generated in the stone. The analytical model for spherical stones is compared against a finite-difference model used to calculate stress in nonspherical stones. It is shown that at low frequencies, when the wavelength is much greater than the diameter of the stone, the maximum principal stress is approximately equal to the pressure amplitude of the incident wave. With increasing frequency, when the diameter of the stone begins to exceed about half the wavelength in the surrounding liquid (the exact condition depends on the material of the stone), the maximum stress increases and can be more than six times greater than the incident pressure. These results suggest that the BWL frequency should be elevated for small stones to improve the likelihood and rate of fragmentation.
Skip Nav Destination
Article navigation
December 2021
December 09 2021
Maximizing mechanical stress in small urinary stones during burst wave lithotripsy
Oleg A. Sapozhnikov;
Oleg A. Sapozhnikov
1
Physics Faculty, Moscow State University
, Leninskie Gory, Moscow 119991, Russia
Search for other works by this author on:
Adam D. Maxwell
;
Adam D. Maxwell
c)
2
Department of Urology, University of Washington School of Medicine
, Seattle, Washington 98195, USA
Search for other works by this author on:
Michael R. Bailey
Michael R. Bailey
d)
3
Center for Industrial and Medical Ultrasound, Applied Physics Laboratory, University of Washington
, 1013 NE 40th Street, Seattle, Washington 98105, USA
Search for other works by this author on:
a)
Also at: Center for Industrial and Medical Ultrasound, Applied Physics Laboratory, University of Washington, 1013 NE 40th Street, Seattle, WA 98105, USA.
b)
Electronic mail: oleg@acs366.phys.msu.ru
c)
ORCID: 0000-0001-5876-0545.
d)
ORCID: 0000-0003-0491-6465.
J. Acoust. Soc. Am. 150, 4203–4212 (2021)
Article history
Received:
September 05 2021
Accepted:
November 09 2021
Citation
Oleg A. Sapozhnikov, Adam D. Maxwell, Michael R. Bailey; Maximizing mechanical stress in small urinary stones during burst wave lithotripsy. J. Acoust. Soc. Am. 1 December 2021; 150 (6): 4203–4212. https://doi.org/10.1121/10.0008902
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Sign in via your Institution
Sign in via your InstitutionPay-Per-View Access
$40.00
Citing articles via
Related Content
A burst wave lithotripsy system for urinary stones in pet cats
J Acoust Soc Am (October 2021)
Power Doppler-based ultrasound detection of cavitation for burst wave lithotripsy
J Acoust Soc Am (October 2022)
Design, fabrication, and characterization of broad beam transducers for fragmenting large renal calculi with burst wave lithotripsy
J. Acoust. Soc. Am. (July 2020)
Generation of guided waves during burst wave lithotripsy as a mechanism of stone fracture
J Acoust Soc Am (September 2018)
Effect of pulse duration and repetition rate on burst wave lithotripsy stone fragmentation in vitro
J Acoust Soc Am (October 2021)