Volume 18, Issue 3 (2018)                   Modares Mechanical Engineering 2018, 18(3): 75-85 | Back to browse issues page

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Amirkhani A, Fotuhi A R. Two-layer artery wall modeling with hyperelastic material assumption. Modares Mechanical Engineering. 2018; 18 (3) :75-85
URL: http://journals.modares.ac.ir/article-15-5917-en.html
1- Department of Mechanical Engineering, Yazd University
Abstract:   (2254 Views)
Biologic tissues modeling play an important role in understanding the tissue behavior and development of synthetic materials for medical applications. It is also a vital action to develop the predictive models for a wide range of uses including medical and tissue engineering. Various strain energy functions have been introduced to model arteries to date. The newest introduced strain energy function is the Nolan strain energy function. Two-layer arterial modeling using this strain energy function has not been performed so far. In this paper, modeling the arteries was carried out in the form of double layers including media and adventitia and hyperelastic material assumption. At first, governing equations were driven based on continuum mechanics. Boundary conditions including inner pressure of artery, axial load and torque as well as static equilibrium were applied. Moreover, Cauchy stress components were gotten by using the continuum mechanics relations. Then, the equilibrium equations in cylindrical coordinate were obtained by using the Cauchy stress. Stress distribution through the artery wall was specified by solving the resulting nonlinear partial differential equations based on generalized differential quadrature method. In the beginning, the artery modeling was conducted in the form of monolayer including the media layer and the results were compared with experimental ones, comparison between stresses in the artery wall and experimental data showed that the volcanic energy function of Nolan is suitable for modeling. After that, the stress distribution was obtained by artery modeling in the form of double layers including the media and adventitia layers.
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Article Type: Research Article | Subject: Stress Analysis
Received: 2017/12/25 | Accepted: 2018/01/29 | Published: 2019/02/21

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