Interrelating Creep And Stress Relaxation Of
Medial Collateral Ligaments Using A Fuzzily
Modeled Collagen Fibre Recruitment
Author(s)
S. Taheri, M. M. Reda Taha, K. Firoozbakhsh & M. Moneim
Abstract
The objective of this work was to model the recruitment mechanism of collagen
fibers in ligaments due to creep. Particularly, we were interested in relating the
degree of crimp in collagen fibers to the ligament stiffness and profiling the creep
behavior in a three dimensional model. The fibre recruitment mechanism is modelled
as a multi-variable adaptive feedback system, where the system adapts to the
level of applied stress, by receiving feedback from the total stiffness. Assuming
that the recruitment of fibers is related to the degree of waviness of fibers, using
fuzzy logic we can allocate a soft degree of collagen fiber participation such that
it affects the ligament stiffness during creep. This way we collaborate the effect
of all fibers including recruited and non-recruited ones with lesser degree to the
final ligament strength to dissipate the energy. This technique enables the prediction
of creep behavior from stress-relaxation experiments. In this paper we use
experimental data provided by Thornton et al. [1].
1 Introduction
The study of mechanical behavior of fibrous connective tissues (FCT) revealed
their time-dependent and non-linearity response specially in the toe region of
the stress-strain relationship. Fung [2] proposed a quasi-linear viscoelastic theory
(QLV) to model the nonlinear viscoelastic behavior of soft tissues. In the QLV
model, stiffness is comprised of both time-dependence (viscoelasticity and pre-
Keywords
Related Book
Other papers in this volume
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