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- Title
A viscoelastic model for describing the response of biological fibers.
- Authors
Freed, Alan; Rajagopal, K.
- Abstract
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 chordæ tendineæ. Numerical solutions for the convolution integral are acquired via a midpoint quadrature rule with a Laplace endpoint correction.
- Subjects
MATHEMATICAL models of viscoelasticity; MITRAL valve; FIBERS; MATHEMATICAL convolutions; LAPLACE'S equation; PHYSIOLOGY
- Publication
Acta Mechanica, 2016, Vol 227, Issue 12, p3367
- ISSN
0001-5970
- Publication type
Article
- DOI
10.1007/s00707-016-1673-7