TY - JOUR
T1 - COMPUTATIONAL MODEL FOR HEART TISSUE WITH DIRECT USE OF EXPERIMENTAL CONSTITUTIVE RELATIONSHIPS
AU - Kojić, Miloš
AU - Milošević, M.
AU - Milićević, B.
AU - Geroski, V.
AU - Simić, V.
AU - Trifunović, D.
AU - Stanković, G.
AU - Filipović, N.
N1 - Funding Information:
Acknowledgements This work is supported by the grant NCI U54 CA210181, and by the SILICOFCM project that has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 777204. The research was also funded by the Serbian Ministry of Education, Science, and Technological Development, grants [451-03-9/2021-14/200378 (Institute for Information Technologies, University of Kragujevac)] and [451-03-9/2021-14/200107 (Faculty of Engineering, University of Kragujevac)]. The authors acknowledge support from the City of Kragujevac, Serbia.
Publisher Copyright:
© 2021. Journal of the Serbian Society for Computational Mechanics. All Rights Reserved.
PY - 2021/1/15
Y1 - 2021/1/15
N2 - Heart wall tissue plays a crucial role in living organisms by generating the mechanical force for blood flow. This tissue has a complex internal structure comprised mostly of muscle cells, in which biochemical energy is transformed into mechanical active stress under rhythmical electrical excitation. The overall heart functioning depends, among other physiological conditions, on the mechanical properties of the tissue. Over the past centuries, experimental and theoretical investigations have been conducted in order to establish the constitutive laws governing wall tissue behavior. Regarding computational modeling, many material models have been introduced, from simple elastic anisotropic to more sophisticated ones, based on various formulations of strain potentials. We here present a novel computational model that directly employs experimental constitutive relationships. Therefore, we avoid any fitting of material parameters for a selected analytical form of the constitutive law. Hysteretic characteristics of the tissue are included, as well as either incompressibility or compressibility according to experimentally determined curves. Deformation is split into deviatoric and volumetric parts in order to handle compressibility. The correctness and accuracy of the model is demonstrated through simple cases for loading and unloading conditions. Furthermore, the model was implemented for left ventricle (LV) deformation, where the FE mesh was generated from echocardiography recordings. Here, a specific algorithm, which accounts for LV torsion, was introduced to determine trajectories of material points on the internal LV surface. Hysteresis of the constitutive curves was used to calculate mechanical energy of LV wall tissue deformation. For completeness, the fluid flow within the LV was computed as well.
AB - Heart wall tissue plays a crucial role in living organisms by generating the mechanical force for blood flow. This tissue has a complex internal structure comprised mostly of muscle cells, in which biochemical energy is transformed into mechanical active stress under rhythmical electrical excitation. The overall heart functioning depends, among other physiological conditions, on the mechanical properties of the tissue. Over the past centuries, experimental and theoretical investigations have been conducted in order to establish the constitutive laws governing wall tissue behavior. Regarding computational modeling, many material models have been introduced, from simple elastic anisotropic to more sophisticated ones, based on various formulations of strain potentials. We here present a novel computational model that directly employs experimental constitutive relationships. Therefore, we avoid any fitting of material parameters for a selected analytical form of the constitutive law. Hysteretic characteristics of the tissue are included, as well as either incompressibility or compressibility according to experimentally determined curves. Deformation is split into deviatoric and volumetric parts in order to handle compressibility. The correctness and accuracy of the model is demonstrated through simple cases for loading and unloading conditions. Furthermore, the model was implemented for left ventricle (LV) deformation, where the FE mesh was generated from echocardiography recordings. Here, a specific algorithm, which accounts for LV torsion, was introduced to determine trajectories of material points on the internal LV surface. Hysteresis of the constitutive curves was used to calculate mechanical energy of LV wall tissue deformation. For completeness, the fluid flow within the LV was computed as well.
KW - Lung tissue material models
KW - Mechanics of lung microstructure
KW - Multiscale 3d composite finite element
KW - Surfactant
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U2 - 10.24874/jsscm.2021.15.01.01
DO - 10.24874/jsscm.2021.15.01.01
M3 - Article
AN - SCOPUS:85130069597
SN - 1820-6530
VL - 15
SP - 1
EP - 23
JO - Journal of the Serbian Society for Computational Mechanics
JF - Journal of the Serbian Society for Computational Mechanics
IS - 1
ER -