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Research Article

Year : 2016 | Volume: 2 | Issue: 2 | Pages: 9-14

Solving Anisotropic Model Equations for Media Layer of Diseased Arterial Tissues

Nina Philipova1*, 2

DOI: 10.18831/djmaths.org/2016021002

Corresponding author

Nina Philipova*

Associate Professor, Institute of Mechanics–Bulgarian Academy of Sciences, Bulgaria.

  • 1. Associate Professor, Institute of Mechanics–Bulgarian Academy of Sciences, Bulgaria.

Received on: 2016/04/18

Revised on: 2016/06/01

Accepted on: 2016/07/18

Published on: 2016/07/27

  • Solving Anisotropic Model Equations for Media Layer of Diseased Arterial Tissues, Nina Philipova, ., 2016/07/27, DJ Journal of Engineering and applied Mathematics. , 2(2): 9-14, http://dx.doi.org/10.18831/djmaths.org/12016021002.

    Published on: 2016/07/27

Abstract

During the last decade scientists have concentrated their efforts on modeling the arterial tissues behaviour. On the basis of nonlinear mechanics they developed constitutive models of arterial vessels. Media layer is the main layer of the arterial tissues bearing biomechanical load of the diseased arteries. Holzapfel anisotropic model for media layer of arterial tissues is considered in this paper. The strain-energy function consists of the strainenergy function of the ground matrix (elastin) and the strain-energy function of the embedded two collagen fibers families. The system of the obtained equations for Cauchy stress components is solved for definite constants and the adequacy of the applied model and the assumed constants is proved here.

Keywords

Arterial tissues, Biomechanics, Anisotropic model, Cauchy stress, Tensor components.