In this paper, an acoustomechanical constitutive model is developed to describe the heating effect of a tissue-mimicking gel by cavitation in exposure to high-intensity focused ultrasound (HIFU). An internal variable, representing the evolution of cavitation process, is introduced into the Helmholtz free energy under the framework of thermodynamics that combines the acoustic radiation stress theory and the nonlinear elasticity theory together. Thus, the internal variable is related to the cavitation process and the mechanical energy dissipation of a tissue-mimicking gel from a macroscopic viewpoint. Since the temperature rise of cavitation phenomenon is more remarkable than that of heating waves, the temperature inside the tissue-mimicking gel rises rapidly mainly due to large amounts of cavitation bubbles. This phenomenon can be quantitatively described by the present model, which fits the existing experimental data well.
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November 2018
Research-Article
An Acoustomechanical Constitutive Model of Gel Considering Cavitation Effect in Exposure to Ultrasound
Qinyi Huang,
Qinyi Huang
School of Aerospace Engineering
and Applied Mechanics,
Tongji University,
Shanghai 200092, China
and Applied Mechanics,
Tongji University,
Shanghai 200092, China
Search for other works by this author on:
Yihui Pan,
Yihui Pan
School of Aerospace Engineering
and Applied Mechanics,
Tongji University,
Shanghai 200092, China
and Applied Mechanics,
Tongji University,
Shanghai 200092, China
Search for other works by this author on:
Zheng Zhong
Zheng Zhong
School of Aerospace Engineering
and Applied Mechanics,
Tongji University,
Shanghai 200092, China;
School of Science,
Harbin Institute of Technology,
Shenzhen 518055, China
and Applied Mechanics,
Tongji University,
Shanghai 200092, China;
School of Science,
Harbin Institute of Technology,
Shenzhen 518055, China
Search for other works by this author on:
Qinyi Huang
School of Aerospace Engineering
and Applied Mechanics,
Tongji University,
Shanghai 200092, China
and Applied Mechanics,
Tongji University,
Shanghai 200092, China
Yihui Pan
School of Aerospace Engineering
and Applied Mechanics,
Tongji University,
Shanghai 200092, China
and Applied Mechanics,
Tongji University,
Shanghai 200092, China
Zheng Zhong
School of Aerospace Engineering
and Applied Mechanics,
Tongji University,
Shanghai 200092, China;
School of Science,
Harbin Institute of Technology,
Shenzhen 518055, China
and Applied Mechanics,
Tongji University,
Shanghai 200092, China;
School of Science,
Harbin Institute of Technology,
Shenzhen 518055, China
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received May 22, 2018; final manuscript received June 29, 2018; published online July 24, 2018. Editor: Yonggang Huang.
J. Appl. Mech. Nov 2018, 85(11): 111005 (6 pages)
Published Online: July 24, 2018
Article history
Received:
May 22, 2018
Revised:
June 29, 2018
Citation
Huang, Q., Pan, Y., and Zhong, Z. (July 24, 2018). "An Acoustomechanical Constitutive Model of Gel Considering Cavitation Effect in Exposure to Ultrasound." ASME. J. Appl. Mech. November 2018; 85(11): 111005. https://doi.org/10.1115/1.4040777
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