Abstract
A microstructural analysis of the hysteretic behavior of ligaments and tendons is proposed from the interaction of their extra-cellular matrix (ECM) components. The tensile response of the tissues during cyclic loading is modeled through a viscoelastic strain energy function. A transition-state theory is used to define the cooperative behavior of the temporary fibrillar network. The viscoelastic model incorporates four internal variables, describing the kinetics of two kinds of adaptive junctions in the ECM microstructure. Two softening variables ξ m , ξ f account for the number density of active matter that is actively connected in the rearranging network of temporary junctions. Conversely, two damage variables η m , η f provide the number density of matter that have been damaged and cannot be rearranged. A dissipation energy functionΦ(t) is linked to the internal variables by thermodynamically consistent evolution equations, describing the irreversible energy dissipation in the tensile cycle of loading and unloading. The model demonstrates the fundamental role of the ECM interactions in determining the time-dependent storage and release of elastic strain energy in ligaments and tendons.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call