Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Journal articles
  4. An orthotropic active-strain model for the myocardium mechanics and its numerical approximation
 
Loading...
Thumbnail Image
research article

An orthotropic active-strain model for the myocardium mechanics and its numerical approximation

Pezzuto, S.
•
Ambrosi, D.
•
Quarteroni, A.  
2014
European Journal Of Mechanics A-Solids

In the wide literature devoted to the cardiac structural mechanics, the strain energy proposed by Holzapfel and Ogden exhibits a number of interesting features: it has suitable mathematical properties and it is based on few material parameters that can, in principle, be identified by standard laboratory tests. In this work we illustrate the implementation of a numerical solver based on such a model for both the passive and active mechanics of the heart. Moreover we discuss its performance on a few tests that can be regarded as preliminary to the adoption of the Holzapfel-Ogden model for a real cardiac simulation. While the passive behavior of the cardiac muscle is modeled as an orthotropic hyperelastic material, the active contraction is here accounted for a multiplicative decomposition of the deformation gradient, yielding the so-called "active strain" approach, a formulation that automatically preserves the ellipticity of the stress tensor and introduces just one extra parameter in the model. We adopt the usual volumetric-isochoric decomposition of the stress tensor to obtain a mathematically consistent quasi-incompressible version of the material, then the numerical approximation applies to a classical Hu-Washizu three fields formulation. After introduction of the tangent problem, we select suitable finite element spaces for the representation of the physical fields. Boundary conditions are prescribed by introduction of a Lagrange multiplier. The robustness and performance of the numerical solver are tested versus a novel benchmark test, for which an exact solution is provided. The curvature data obtained from the free contraction of muscular thin films are used to fit the active contraction parameter. (C) 2014 Elsevier Masson SAS. All rights reserved.

  • Details
  • Metrics
Type
research article
DOI
10.1016/j.euromechsol.2014.03.006
Web of Science ID

WOS:000342879100009

Author(s)
Pezzuto, S.
•
Ambrosi, D.
•
Quarteroni, A.  
Date Issued

2014

Publisher

Gauthier-Villars/Editions Elsevier

Published in
European Journal Of Mechanics A-Solids
Volume

48

Start page

83

End page

96

Subjects

Active strain

•

Cardiac mechanics

•

Numerical simulation

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CMCS  
Available on Infoscience
November 13, 2014
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/108644
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés