A viscoelastic model for describing the response of biological fibers
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2016, Springer-Verlag Wien. In this paper, we extend the modeling effort of our earlier work concerning the development of an implicit elastic model for describing the response of biological fibers. We put into place a fractional-order viscoelastic (FOV) solid model that can quantify the properties of biological fibers comprised of collagen fibrils and elastic filaments. The compliance version of the FOV memory function is regularized, thereby removing the singularity from the viscoelastic kernel. The ensuing model is used to describe stress relaxation in mitral-valve chord tendine. Numerical solutions for the convolution integral are acquired via a midpoint quadrature rule with a Laplace endpoint correction.
