NDLI: Mechanics of formation and rupture of human aneurysm

Content Provider	Springer Nature Link
Author	Yuan, Xue gang Ren, Jiu sheng
Copyright Year	2010
Abstract	The mechanical response of the human arterial wall under the combined loading of inflation, axial extension, and torsion is examined within the framework of the large deformation hyper-elastic theory. The probability of the aneurysm formation is explained with the instability theory of structure, and the probability of its rupture is explained with the strength theory of material. Taking account of the residual stress and the smooth muscle activities, a two layer thick-walled circular cylindrical tube model with fiber-reinforced composite-based incompressible anisotropic hyper-elastic materials is employed to model the mechanical behavior of the arterial wall. The deformation curves and the stress distributions of the arterial wall are given under normal and abnormal conditions. The results of the deformation and the structure instability analysis show that the model can describe the uniform inflation deformation of the arterial wall under normal conditions, as well as formation and growth of an aneurysm under abnormal conditions such as the decreased stiffness of the elastic and collagen fibers. From the analysis of the stresses and the material strength, the rupture of an aneurysm may also be described by this model if the wall stress is larger than its strength.
Ending Page	604
Page Count	12
Starting Page	593
File Format	PDF
ISSN	02534827
e-ISSN	15732754
Journal	Applied Mathematics and Mechanics
Issue Number	5
Volume Number	31
Language	English
Publisher	Shanghai University Press
Publisher Date	2010-05-13
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	arterial wall with collagen fibers residual stress formation and rupture of aneurysm strength theory of material Mechanics Mathematical Modeling and Industrial Mathematics Applications of Mathematics Nonlinear elasticity instability theory of structure
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mechanics of Materials Mechanical Engineering

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