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- Title
Extremal loading of soft fibrous tissues: multi-scale mechanics and constitutive modeling.
- Authors
Linka, Kevin; Khiêm, Vu Ngoc; Itskov, Mikhail
- Abstract
In the current contribution, we present a multi-scale constitutive model capturing macroscopic inelastic effects (like stress softening and permanent set) in soft tissues under cyclic loading. Soft biological tissues can be described as a biological composite material. The extracellular matrix is hereby reinforced by collagen fibers which themself are an assembly of collagen fibrils embedded in a proteoglycan (PG) rich matrix. Micro-damage induced by cyclic loading is treated by an interaction scenario between the fibrils and the PGs. At the low strain regime PGs promote sliding between fibrils [1] which leads to the yielding of statistical distributed overlapping segments. The breakage of the PG-bridges is defined by a decreasing PG-density. Due to the accumulated damage of the PG connections at high tissue strains, the strains at the fibril level increases. This finally drives the over-stretching of the fibrils, which is associated with a permanent rupture of the hydrogen bonds inside of the tropocollagen molecules [2]. The so obtained model is in line with recent experimental findings [1, 2] and was additionally validated against experimental data available in literature. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
- Subjects
TISSUE mechanics; CYCLIC loads; FIBERS; PROTEOGLYCANS; COMPOSITE materials; BIOMECHANICS; MATHEMATICAL models
- Publication
PAMM: Proceedings in Applied Mathematics & Mechanics, 2015, Vol 15, Issue 1, p99
- ISSN
1617-7061
- Publication type
Article
- DOI
10.1002/pamm.201510040