Physical invariant strain energy function for passive myocardium

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


Principal axis formulations are regularly used in isotropic elasticity, but they are not often used in dealing with anisotropic problems. In this paper, based on a principal axis technique, we develop a physical invariant orthotropic constitutive equation for incompressible solids, where it contains only a one variable (general) function. The corresponding strain energy function depends on six invariants that have immediate physical interpretation. These invariants are useful in facilitating an experiment to obtain a specific constitutive equation for a particular type of materials. The explicit appearance of the classical ground-state constants in the constitutive equation simplifies the calculation for their admissible values. A specific constitutive model is proposed for passive myocardium, and the model fits reasonably well with existing simple shear and biaxial experimental data. It is also able to predict a set of data from a simple shear experiment.

Original languageBritish English
Pages (from-to)215-223
Number of pages9
JournalBiomechanics and Modeling in Mechanobiology
Issue number2
StatePublished - Apr 2013


  • Incompressible
  • Invariants with immediate physical meaning
  • Myocardium
  • Orthotropic
  • Principal axes
  • Strain energy


Dive into the research topics of 'Physical invariant strain energy function for passive myocardium'. Together they form a unique fingerprint.

Cite this