A New Method for Predicting the Opening Angle for Soft Tissues-Reference-Cited by-同舟云学术

A New Method for Predicting the Opening Angle for Soft Tissues

Published:2002-07-30 Issue:4 Volume:124 Page:347-354
ISSN:0148-0731
Container-title:Journal of Biomechanical Engineering
language:en
Short-container-title:

Author:

Van Dyke Timothy J.¹,Hoger Anne¹

Affiliation:

1. Department of Mechanical & Aerospace Engineering, University of California, San Diego, 9500 Gilman Road, La Jolla, CA 92093

Abstract

The purpose of this paper is to present a simple new method for calculating the opening angle produced by a given residual stress field in a soft biological tissue. The method uses minimization of potential energy, and is therefore named the MPE method. The accuracy of the MPE method is evaluated by comparing the opening angle it predicts to results from a finite element model of the opening angle experiment. We show that the MPE method provides good predictions of the opening angle, and that it is significantly more accurate than two other methods previously used in the literature.

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

Link

http://asmedigitalcollection.asme.org/biomechanical/article-pdf/124/4/347/5514322/347_1.pdf

Reference26 articles.

1. Chuong, C. J., and Fung, Y. C., 1986, “Residual Stress in Arteries,” Frontiers in Biomechanics, G. W. Schmid-Schonbein, S. L.-Y. Woo and B. W. Zweifach, eds., Springer, New York, pp. 117–129.

2. Chuong, C. J., and Fung, Y. C., 1986, “On Residual Stresses in Arteries,” J. Biomech. Eng., 108, pp. 189–192.

3. Guccione, J. M., McCulloch, A. D., and Waldman, L. K., 1991, “Passive Material Properties of Intact Ventricular Myocardium Determined from a Cylindrical Model,” J. Biomech. Eng., 113, pp. 42–55.

4. Takamizawa, K., and Hayashi, K., 1987, “Strain Energy Density Function and Uniform Strain Hypotesis for Arterial Mechanics,” J. Biomech. Eng., 20, pp. 7–17.

5. Vaishnav, R. N., and Vossoughi, J., 1983, “Estimation of Residual Strains in Aortic Segments,” Biomedical Engineering II. Recent Developments, C. W. Hall, ed., Pergamon, New York, pp. 330–333.

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stress‐modulated growth in the presence of nutrients—Existence and uniqueness in one spatial dimension;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2023-05-21

2. A generalized strain energy function using fractional powers: Application to isotropy, transverse isotropy, orthotropy, and residual stress symmetry;International Journal of Non-Linear Mechanics;2021-01

3. Simulation of vessel tissue remodeling with residual stress: an application to in-stent restenosis;International Journal of Smart and Nano Materials;2018-10-18

4. Finite element formulation and analysis for an arterial wall with residual and active stresses;Computer Methods in Biomechanics and Biomedical Engineering;2014-02-07

5. Experimental Methods for Determining Residual Stresses and Strains in Various Biological Structures;Experimental Mechanics;2013-11-19