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Research Papers

An Acoustomechanical Constitutive Model of Gel Considering Cavitation Effect in Exposure to Ultrasound

[+] Author and Article Information
Qinyi Huang, Yihui Pan

School of Aerospace Engineering
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

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 85(11), 111005 (Jul 24, 2018) (6 pages) Paper No: JAM-18-1302; doi: 10.1115/1.4040777 History: Received May 22, 2018; Revised June 29, 2018

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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Figures

Grahic Jump Location
Fig. 1

Decomposition of deformation

Grahic Jump Location
Fig. 2

The temperature rise with time for the first experiment

Grahic Jump Location
Fig. 3

The temperature rise with time for the second experiment

Tables

Errata

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