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Heart Mechanical Model Based on Holzapfel Experiments

Conference paper
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Part of the Learning and Analytics in Intelligent Systems book series (LAIS, volume 11)

Abstract

We have formulated orthotropic material model for human heart tissue based on experimental investigation of passive material properties of myocardium [1]. The Cauchy stress/stretch and shear stress/amount of shear relation curves are used, which are established experimentally under different loading conditions: biaxial extension and triaxial shear. The averaged curves obtained from all considered specimens in [1] are reconstructed and used in our FE computational model. A computational procedure for determination of stresses for current stretches and amounts of shear at integration points of the FE model is implemented in the code PAK. Compressibility condition is imposed to couple the normal stresses using a penalty formulation. Applicability and reliability of this material model is tested on simple 3D models and on a heart wall segment under passive conditions. This numerical model offers an accurate description of the ventricular mechanics and can be used in studying heart problems in order to improve medical treatment of heart diseases.

Keywords

Heart mechanics Heart material model Biaxial loading Sommer and Holzapfel experiment 

Notes

Acknowledgments

The authors acknowledge support from the City of Kragujevac, Serbia.

Funding

This work is supported by the SILICOFCM project that has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 777204. This research was also funded by Ministry of Education and Science of Serbia, grants OI 174028 and III 41007.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.The Department of NanomedicineHouston Methodist Research InstituteHoustonUSA
  2. 2.Bioengineering Research and Development Center BioIRC KragujevacKragujevacSerbia
  3. 3.Serbian Academy of Sciences and ArtsBelgradeSerbia
  4. 4.Belgrade Metropolitan UniversityBelgradeSerbia
  5. 5.Faculty for Engineering SciencesUniversity of KragujevacKragujevacSerbia

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