Publication detail

A modification of Holzapfel-Ogden hyperelastic model of myocardium better describing its passive mechanical behavior

VAVERKA, J. BURŠA, J.

Original Title

A modification of Holzapfel-Ogden hyperelastic model of myocardium better describing its passive mechanical behavior

Type

journal article in Web of Science

Language

English

Original Abstract

The passive mechanical behavior of the myocardium is usually mathematically described within the framework of hyperelasticity. One of the most popular models of this kind is that proposed by Holzapfel and Ogden in 2009. It is an orthotropic model formulated in terms of a reasonably selected set of scalar invariants representing different components of the myocardium. Several modifications of the model have emerged over the years. In this paper, we present another one which is characterized by an innovative approach to the modeling of myocardial "sheets", i.e. lamellar collagenous structures that endow the myocardium with orthotropic mechanical properties. We describe their contribution by means of a less common scalar invariant which expresses the change of area of an oriented planar element (representing the plane of a sheet). To compare our formulation with the original model, we matched both of them to the biaxial tension and simple shear experimental data from the literature using a nonlinear least-squares optimization algorithm. The objective function for each model included both biaxial and simple shear data in order to obtain a single set of parameters for both deformation modes. The results show that our modified model can accurately describe both types of tests. The total residual is lowered by approximately 80% by our modification and R2 increases from 0.877 to 0.978 which demonstrates the significance of our modification on the quality of the fit.

Keywords

Cardiac mechanics; Myocardium; Hyperelasticity; Constitutive model; Orthotropy

Authors

VAVERKA, J.; BURŠA, J.

Released

21. 2. 2025

Publisher

ELSEVIER

Location

AMSTERDAM

ISBN

0997-7538

Periodical

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

Year of study

111

Number

MAY-JUN

State

Kingdom of the Netherlands

Pages count

11

URL

https://www.sciencedirect.com/science/article/pii/S0997753825000208

Full text in the Digital Library

http://hdl.handle.net/11012/250087

BibTex

@article{BUT197165,
  author="Jiří {Vaverka} and Jiří {Burša}",
  title="A modification of Holzapfel-Ogden hyperelastic model of myocardium better describing its passive mechanical behavior",
  journal="EUROPEAN JOURNAL OF MECHANICS A-SOLIDS",
  year="2025",
  volume="111",
  number="MAY-JUN",
  pages="11",
  doi="10.1016/j.euromechsol.2025.105586",
  issn="0997-7538",
  url="https://www.sciencedirect.com/science/article/pii/S0997753825000208"
}