Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지

Effect of Residual Stress on Femoral Arterial Stress-Strain Behavior

  • Chandran, K.B. (Department of Biomedical Engineering, University of Iowa) ;
  • Mun, J.H. (Department of Mechanical Engineering College of Engineering, University of Iowa) ;
  • Chen, J.S. (Department of Mechanical Engineering College of Engineering, University of Iowa) ;
  • Nagaraj, A. (Division of Cardiology, Department of Medicine Feinberg Cardiovascular Research Institute Northwestern University Medical School) ;
  • McPherson, D.D. (Division of Cardiology, Department of Medicine Feinberg Cardiovascular Research Institute Northwestern University Medical School)
  • Published : 2001.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

It is well established that arteries are subjected to residual stress. Due to the effect of residual stress, the arteries open to a horse-shoe shape when a longitudinal cut is made on an excised arterial segment. Previously, the residual stress has been quantified by the opening angle of the horse-shoe shape. We have employed a finite element analysis of the open arterial segment to restore the same to the original cylindrical shape and computed the circumferential strain as well as the stress distribution in the wall. In this study, the stress distribution in the femoral arteries of miniswine was computed with and without the residual stress for a range of transmural pressures. Our analysis showed that the residual stress has the effect of redistribution of the circumferential stresses between the intima and the adventitia under physiological loading. The redistribution of the stress with the inclusion of residual stress may be important in the studies on effect of wall stresses on the endothelial and vascular smooth muscle cells.

Keywords

References

  1. Bergel, D. H. 1961, 'The Static Elastic Properties of the Arterial Wall,' J. Physiol, 156, pp. 445-457
  2. Chuong, C. J. and Fung, Y. C, 1986, 'On Residual Stresses in Arteries,' ASME J. Biomech. Eng., 108, pp. 189-192
  3. Fung, Y. C. and Liu, S. Q., 1989, 'Change in Residual Strains in Arteries Due to Hypertrophy Caused by Aortic constriction,' Circulation Research, 65, pp. 1340-1349
  4. Fung, Y. C. 1991, 'What are Residual Stresses Doing in Our Blood Vessels,' Ann. Biomed. Eng., 19, pp. 237-249 https://doi.org/10.1007/BF02584301
  5. Fung, Y. C. and Liu, S. Q., 1991, 'Changes of Zero-Stress State of Rat Pulmonary Arteries in Hypoxic Hypertension,' J. Appl. Physiol, 70, pp. 2455-2470 https://doi.org/10.1063/1.349398
  6. Fung, Y. C. and Liu, S. Q., 1992, 'Strain Distribution in Small Blood Vessels with Zero -Stress State Taken into Consideration,' Am. J. Physiol, 222 (Heart Circ. Physiol. 31): H544 -H552
  7. Lee, C. S. and Tarbell, J. M., 1997, 'Wall Shear Rate distribution in an Abdominal Aortic Bifurcation Model: Effects of Vessel Compliance and Phase Angle Between Pressure and Flow Waveforms,' J. Biomech. Eng., 119, pp. 333-342
  8. Lee, C. S. and Tarbell, J. M., 1998, 'Influence of Vasoactive Drugs on Wall Shear Stress Distribution in the Abdominal Aortic Bifurcation: An in vitro Study. Annals of Biomedical Engineering, 26, pp. 200-212 https://doi.org/10.1114/1.89
  9. Liu S. Q. and Fung, Y. C, 1988, 'Zero-Stress State of Arteries. J. Biomech. Eng., 110,' 82-84
  10. Liu S. Q. and Fung, Y. C, 1989, 'Relationship between hypertension, hypertrophy, and opening angle of zero-stress state of arteries following aortic constriction. J. Biomech. Eng., 111, pp. 325 -335
  11. Mun, J. H., Chen, J. S., Chandran, K. B., Nagraj, A. and McPherson, D. D., 1999, 'Residual Stress in Swine Iliac Arteries,' The First Joint Meeting of BMES and EMBS, Atlanta GA, 13-16
  12. Mun, J. H., Chen, J. S., Nagaraj, A., McPherson, D. D. and Chandran, K. B., 'Quantification of Residual Stress in Arteries and Its Effect on Pressure-Strain Behavior,' Annals of Biomedical Engineering, 2001. (submitted)
  13. Thurbrikar, M. J., Poskelly, S. K. and Eppink, R. T., 1990, 'Study of Stress Concentration in the Walls of the Bovine Coronary Arterial Branch,' J. Biomech, 23, pp. 15-26 https://doi.org/10.1016/0021-9290(90)90365-A
  14. Vaishnav, R. N. and Vassoughi, J., 1987, 'Residual Stress and Strain in Aortic Segments,' J. Biomech. 20, pp. 235-239 https://doi.org/10.1016/0021-9290(87)90290-9