Supplementary Material: Switchless Constitutive Relation for Arterial Tissues: Eliminating All Discontinuities in Mechanical Response

This supplementary file includes the following information: 1. An overview of the fiber kinematics under general loading conditions for in-plane obliquely oriented fibers. This analysis is essential to understand how obliquely oriented fibers can influence the mechanical response, even when moderately compressed. 2. A proof demonstrating the non-negativity of the matched-generalized invariant. 3. An explanation of the response functions related to the vanGOH constitutive relation. There is one independent response function associated with the fiber contribution in the vanGOH relation, which is identical to that in the GOH relation. 4. An illustration of uniaxial loading perpendicular to the mean fiber direction. This demonstrates the qualitative similarity between the modified structure tensor derived from the matched-generalized invariant and the existing "fraction of extended fibers" concept introduced by Melnik et al. (2015). 5. Model fits and material parameters for the biaxial data of various arterial tissues. 6. Constitutive relations from the existing literature on GST- and AI-based models. 7. Special switchless constitutive relations for the following cases: (i) isotropic fiber distribution, and (ii) Hencky-strain-based matched-generalized invariant.