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theses

One of the most vital parts of the human body is the tendon. The main focus of this research is the development of a solid finite element model in three dimensions for the tendon’s collagenous network. Most of the previous studies use simplified approaches in two or three dimensions without including tendon’s essential network. A multi-level approach at the lower levels of hierarchy, such as the microfibrils, will be beneficial in understanding tissue function. Cross-links operate significantly at the fibril level. Thus, determining their influence on mechanical function at this level is important to appreciate the ways in which the macroscopic level is affected. Analytical finite element models in 3D that describe the mechanical behavior of the complex collagen network and predict stresses in its individual components are still lacking. This study develops a 3D model, based on Orgel’s microfibril structure, consisting of the mineral and collagen D-bands, as well as their intermolecular crosslinks. This structure includes multiple molecules that are aligned in parallel and form the collagen fibril with a D-band repetition every 67nm, while they are organized in a quasi-hexagonal pattern in the cross section. In this study the created collagen matrix model is subjected to tensile loads in order to estimate the stress-strain behavior and the Young’s Modulus in the elastic regime. With the use of finite element analysis this model requires less computational time than using a Molecular Dynamics Software. Furthermore, parametric analysis of the mineralization and hydration phase under tension is investigated. Results report total elastic modulus of various parametrical models that agree well with previously reported experimental and Steer Molecular Dynamics studies.

ETD_5232

M.S.

Includes bibliographical references

by Dorothea Politis

doi:10.7282/T3C827D9

ETD graduate

The author owns the copyright to this work.