Three-dimensional stress and strain distribution in a two-layer model of a coronary artery |
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Authors: | Keiichi Takamizawa |
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Institution: | (1) Department of Biomedical Engineering, Advanced Medical Engineering Center, National Cardiovascular Center Research Institute, 5-7-1 Fujishiro-dai, Suita Osaka, 565-8565, Japan |
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Abstract: | For a right coronary artery, three-dimensional stress and strain distributions at a physiological intraluminal pressure and
an axial extension ratio were computed on the basis of a two-layer elastic model. To validate the model, curves of external
radius versus pressure and of axial force versus pressure were computed for three axial extension ratios. To analyze mechanical
properties, stress-free configurations of media and adventitia, and the constitutive law of each layer in literature, were
used. The present study showed that the peak circumferential stress and the peak axial stress appear in the media at the boundary
between the media and adventitia. This result is due to the opening angle of the media being larger than π (rad) and the larger value of a material constant of the strain energy function for the media than for the adventitia. The
circumferential stress and strain were discontinuous at the boundary. On the other hand, the radial stress was continuous
at the boundary because of the boundary condition for stress. The circumferential stress and axial stress in the adventitia
were almost uniformly distributed, and smaller than in the media. The residual stress and strain were also computed. The circumferential
residual stress and strain were almost linearly distributed in each layer, although discontinuity appeared at the boundary
between the two layers. |
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Keywords: | Strain energy function Stress-free configuration Two-layer model Coronary artery |
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