4.4 Article

A novel arterial constitutive model in a commercial finite element package: Application to balloon angioplasty

Journal

JOURNAL OF THEORETICAL BIOLOGY
Volume 286, Issue -, Pages 92-99

Publisher

ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2011.05.037

Keywords

Blood vessel; Residual strain; Incompressibility; User subroutine

Funding

  1. National Institute of Health-National Heart, Lung, and Blood Institute [HL087235]

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Recently, a novel linearized constitutive model with a new strain measure that absorbs the material nonlinearity was validated for arteries. In this study, the linearized arterial stress-strain relationship is implemented into a finite element method package, ANSYS, via the user subroutine USERMAT. The reference configuration is chosen to be the closed cylindrical tube (no-load state) rather than the open sector (zero-stress state). The residual strain is taken into account by analytic calculation and the incompressibility condition is enforced with Lagrange penalty method. Axisymmetric finite element analyses are conducted to demonstrate potential applications of this approach in a complex boundary value problem where angioplasty balloon interacts with the vessel wall. The model predictions of transmural circumferential and compressive radial stress distributions were also validated against an exponential-type Fung model, and the mean error was found to be within 6%. (C) 2011 Elsevier Ltd. All rights reserved.

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