Studies in Mechanobiology, Tissue Engineering and Biomaterials, Springer International Publishing Ag, ss.257-278, 2022
This study presents the theoretical and modeling aspects of the two recently published orthotropic viscoelastic constitutive frameworks by Cansız et al. (Comput. Methods Biomech. Biomed. Eng. 18: 1160–1172, 2015) and Gültekin et al. (Comput. Methods Biomech. Biomed. Eng. 19: 1647–1664, 2016). Recent revelations clearly predicate the viscoelastic response of the human passive myocardium in terms of stress hysteresis and relaxation. The first contribution establishes a canonical representation, formulates a rheological model with Maxwell elements considered along fiber, sheet, and normal directions in the logarithmic strain space. The second contribution presents a convolution-type evolution of the viscous stresses, which are incorporated in a rheological model with Maxwell elements featuring matrix, fiber, sheet, and fiber-sheet terms akin to the hyperelastic contributions. In the sequel, we address the performance of both models by fitting them to cyclic and stress relaxation test data obtained from triaxial shear tests on human passive myocardium.