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Interactions Inside a Coupled Oscillation System of Bubble-Viscous Liquid-Vessel and the Induced Stresses and Strains Within the Vessel Wall

Published online by Cambridge University Press:  05 May 2011

Yuantai Hu ,
Farong Gao ,
Hongping Hu  and
Chuanyao Chen
Yuantai Hu*
Affiliation:
School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
Farong Gao*
Affiliation:
School of Civil Engineering and Mechanics & School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Hongping Hu*
Affiliation:
School of Civil Engineering and Mechanics & School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Chuanyao Chen*
Affiliation:
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
*
*Professor
**Postdoctoral Researcher
**Postdoctoral Researcher
**Postdoctoral Researcher
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Abstract

The evolution of a bubble confined inside a nonlinear micro vessel fully filled with a viscous liquid, subjected to a shock lithotripsy wave (SWL), is analyzed with a previously established asymmetrical model on bubble oscillation. Both the normal and shear stress components within the vessel wall are calculated. It is observed that although the shear stress induced by viscosity is far less than the normal stresses, hypertension patients are still at more risk than normal people in SWL because of the high blood pre-pressure and stiff vessel wall accompanying their high blood viscosity. Hence, safety of hypertensive patients with high blood viscosity must be taken into careful consideration in SWL. More detailed numerical results show that the increase of circumferential normal stress and strain in SWL is significantly larger than that of other stresses and strains. Large circumferential normal stress and strain are responsible for excessive dilation of vessel wall during asymmetrical oscillation of constrained bubbles, which implies that the vessel wall will rupture mainly in the form of a cleft along the vessel axial direction.

Keywords

Vessel wall stressViscous effectShock wave lithotripsyHypertension.
Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 1 , March 2008 , pp. 55 - 61
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2008

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References

1.Ye, Z., “On Sound Scattering and Attenuation of Albunex Bubbles,” Journal of the Acoustical Society of America, 100, pp. 2011–2028 (1996).Google Scholar
2.Allen, J. S., Kruse, D. E. and Ferrara, K. W., “Shell Waves and Acoustic Scattering from Ultrasound Contrast Agents,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 48, pp. 409–418(2001).CrossRefGoogle Scholar
3.Gao, F. R., Hu, H. P. and Hu, Y. T., “Effects of an Outer Layer and Its Damping on Acoustic Scattering Characteristics of a Double-Layered Spherical Shell Immersed in Water,” Journal ofHuazhong University of Science and Technology, Natural Science Edition, 32, pp. 102–104 (2004) (in Chinese).Google Scholar
4.Hasheminejad, S. M., “Acoustic Scattering by a Fluid- Encapsulating Spherical Viscoelastic Membrane Including Thermoviscous Effects,” Journal of Mechanics, 21, pp. 205–215(2005).Google Scholar
5.Hu, Y. T., Qin, S. P. and Jiang, Q., “Characteristics of Acoustic Scattering from a Double-Layered Micro Shell for Encapsulated Drug Delivery,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 51, pp. 808–820(2004).Google Scholar
6.Bekeredjian, R., Grayburn, P. A. and Shohet, R. V., “Use of Ultrasound Contrast Agents for Gene or Drug Delivery in Cardiovascular Medicine,” Journal of the American College of Cardiology, 45, pp. 329–335 (2005).Google Scholar
7.Knapp, P. M. and Kulb, T. B., et al., “Extracorporeal Shock Wave Lithotripsy-Induced Perirenal Hematomas,” Journal of Urology, 39, pp. 700–703 (1988).CrossRefGoogle Scholar
8.Zhong, P., Cioanta, I., Zhu, S. L., Cocks, F. H. and Preminger, G. M., “Effects of Tissue Constraint on Shock Wave-Induced Bubble Expansion in Vivo,” Journal of the Acoustical Society of America, 104, pp. 3126–3129(1998).CrossRefGoogle Scholar
9.Zhong, P., Zhou, Y. F. and Zhu, S. L., “Dynamics of Bubble Oscillation in Constrained Media and Mechanisms of Vessel Rupture in SWL,” Ultrasound in Medicine and Biology, 27, pp. 119–134 (2001).CrossRefGoogle Scholar
10.Feng, Z. C. and Leal, L. G., “Nonlinear Bubble Dynamics,” Annual Review of Fluid Mechanics, 29, pp. 201–243 (1997).Google Scholar
11.Hu, Y. T., Qin, S. P., Hu, T., Ferrara, K. W. and Jiang, Q., “Asymmetric Oscillation of Cavitation Bubbles in a Microvessel and Its Implications Upon Mechanisms of Clinical Vessel Injury in Shock-Wave Lithotripsy,” International Journal of Non-Linear Mechanics, 40, pp. 341–350 (2005).CrossRefGoogle Scholar
12.Zhao, S. K., Ferrara, K. W. and Dayton, P. A., “Asymmetric Oscillation of Adherent Targeted Ultrasound Contrast Agents,” Applied Physics Letters, 87, p. 134103 (2005).Google Scholar
13.Qin, S. P., Hu, Y. T. and Jiang, Q., “Oscillatory Interaction Between Bubbles and Confining Microvessels and Its Implications on Clinical Vascular Injuries of Shock-Wave Lithotripsy,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 53, pp. 1322–1329 (2006).CrossRefGoogle Scholar
14.Gao, F. R., Hu, H. P. and Hu, Y. T., “Asymmetrical Oscillation of a Bubble Confined Inside a Micro Pseudoelastic Blood Vessel and the Corresponding Vessel Wall Stresses,” International Journal of Solids and Structures, 44, pp. 7197–7212 (2007).Google Scholar
15.Chuong, C. J. and Fung, Y. C., “On Residual Stress in Arteries,” ASME, Journal of Biomechanical Engineering, 108, pp. 189–192(1986).CrossRefGoogle Scholar
16.Humphrey, J. D. and Na, S., “Elastodynamics and Arterial wall Stress,” Annals of Biomedical Engineering, 30, pp. 509–523 (2002).Google Scholar
17.Chuong, C. J. and Fung, Y. C., “Three-Dimensional Stress Distribution in Arteries,” ASME, Journal of Biomechanical Engineering, 105, pp. 268–274 (1983).CrossRefGoogle ScholarPubMed
18.Landau, L. D. and Lifshits, E. M., Continuum Mechanics, Gostekhizdat, Moscow (1954) (in Russian).Google Scholar
19.Lai, J. S., Lin, G. F. and Guo, W. D., “Simulation of Hydraulic Shock Waves by Hybrid Flux-Splitting Schemes in Finite Volume Method,” Journal of Mechanics, 21, pp. 85–101 (2005).Google Scholar
20.Ferziger, J. H. and Peric, M., Computational Methods for Fluid Dynamics, Springer, New York (2001).Google Scholar
21.Letcher, R. L. and Chien, S., et al., “Elevated Blood Viscosity in Patients with Borderline Essential Hypertension,” Hypertension, 5, pp. 757–762 (1983).Google Scholar
22.Letcher, R. L. and Chien, S., et al, “Direct Relationship Between Blood Pressure and Blood Viscosity in Normal and Hypertensive Subjects. Role of Fibrinogen and Concentration,” American Journal of Medicine, 70, pp. 1195–1202(1981).Google Scholar