A fibril-scale visco-hyperelastic model for the mechanics of vocal-fold tissues
Résumé
Modeling the mechanics of human vocal folds during phonation is still a challenging task. This is partly due to the mechanics of their soft and highly anisotropic fibrous tissues, which can undergo finite strains with both elasticity and strain rate sensitivity. In this study, we propose a visco-hyperelastic micro-mechanical model capable of predicting the complex cyclic response of the vocal-fold fibrous tissues based on their histo-mechanical properties. For that purpose, we start from the hyperelastic micro-mechanical model proposed in [Terzolo et al., J Mech Behavior Biomed Mater 128 (2022)]. We include in the model non-linear viscoelastic contributions at the fibril scale to account for the dissipative and time-dependent response of vocal fold tissues. The relevance of the model is demonstrated and discussed through comparison with a comprehensive set of reference experimental data, within a wide range of loading modes, strains, and strain rates: cyclic and multiaxial loadings at finite strains (tension, compression and shear); small (SAOS) and large (LAOS) amplitude oscillatory shear from low to high frequencies. This study elucidates how the viscoelasticity of vocal-fold tissues can result from combined time-dependent micro-mechanisms, such as the kinematics and the deformation of their fibril bundles, as well as the mechanical interactions likely to develop among fibrils and the surrounding amorphous matrix.
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