Options
Evolution of fiber distributions in homogenized constrained mixture models of soft tissue growth and remodeling: Uniaxial loading
Publikationstyp
Journal Article
Date Issued
2024-02
Sprache
English
Author(s)
Falcinelli, Cristina
Volume
183
Start Page
1
End Page
22
Article Number
105491
Citation
Journal of the Mechanics and Physics of Solids 183: 105491 (2024)
Publisher DOI
Scopus ID
Publisher
Elsevier
Growth and remodeling in soft tissue changes, in general, the orientation distribution of the collagen fibers in the tissue. So far, the governing principles are still incompletely understood. In this paper, we derive from the homogenized constrained mixture theory of soft tissue growth and remodeling – under some simplifying assumptions – a theoretical framework that enables simple analytical solutions that help to understand the evolution of the collagen fiber distribution in soft tissues during growth and remodeling under uniaxial loading. Our analysis suggests a natural tendency of the collagen fiber distribution to form a peak in the direction of loading and a spread increasing with the ratio of the fiber half-life time and the time constant governing loading-related fiber production. This observation helps to understand why in vivo collagen fiber reinforcement is typically organized in the form of (often von Mises-like) distributions with a finite spread. Our analysis also suggests a considerable history dependence of the fiber distribution evolution, which may explain why, in tissues under the same type of loading, sometimes considerably different fiber orientation distributions are observed.
Subjects
Directional growth and remodeling
Fiber distribution
Fiber-reinforced materials
Homogenized constrained mixture
Mechanobiology
von Mises PDF
DDC Class
620: Engineering
690: Building, Construction