Mechanics of the Formation and Rupture of Human Aneurysms

REN Jiu-sheng; YUAN Xue-gang

doi:10.3879/j.issn.1000-0887.2010.05.007

Volume 31 Issue 5

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REN Jiu-sheng, YUAN Xue-gang. Mechanics of the Formation and Rupture of Human Aneurysms[J]. Applied Mathematics and Mechanics, 2010, 31(5): 561-572. doi: 10.3879/j.issn.1000-0887.2010.05.007

Citation:

REN Jiu-sheng, YUAN Xue-gang. Mechanics of the Formation and Rupture of Human Aneurysms[J]. Applied Mathematics and Mechanics, 2010, 31(5): 561-572. doi: 10.3879/j.issn.1000-0887.2010.05.007

Citation:

REN Jiu-sheng, YUAN Xue-gang. Mechanics of the Formation and Rupture of Human Aneurysms[J]. Applied Mathematics and Mechanics, 2010, 31(5): 561-572. doi: 10.3879/j.issn.1000-0887.2010.05.007

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Mechanics of the Formation and Rupture of Human Aneurysms

doi: 10.3879/j.issn.1000-0887.2010.05.007

REN Jiu-sheng¹,
YUAN Xue-gang²

1.
Department of Mechanics, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200444, P. R. China;

Received Date: 1900-01-01
Rev Recd Date: 2010-04-08
Publish Date: 2010-05-15

Abstract

Abstract

Mechanical response of human arterial wall under the combined loading of in flation, axial extension and torsion was examined with in the framework of the large deformation hyperelastic theory. The probability for the formation of aneurysm was explained with the instability theory of structure and the probability for its rupture was explained with the strength theory of material. Taking account of the residual stress and the smooth muscleactivity, a two layer thick-walled circular cylindrical tube model with fiber-rein forced composite-based incompressible anisotropic hyper-elastic materials was employed to model the mechanical behavior of the arterial wall. The deformation curves and the stress distributions of the arterial wall are given both under normal conditions and abnormal conditions. With the results of the deformation and the structureins tability analysis, that not only the uniform in flation deformation of the arterial wall under normal conditions, but also the formation and growth of ananeurysm underabnormal conditions such as the stiffness of the elastic and collagen fibers is decreased to a certain degree may be described by this model. With the results of the stresses and the material strength analysis, that the rupture of aneurysm if the wall stress is larger than its strength may be described by this model, too.
- arterial wall with collagen fibers,
- formation and rupture of aneurysm,
- residual stress,
- in stability theory of structure,
- strength theory of material

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References(24)

References

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