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A new strain energy function for the hyperelastic modelling of ligaments and tendons based on the geometrical arrangement of their fibrils is derived. The distribution of the crimp angles of the fibrils is used to determine the…

Tissues and Organs · Quantitative Biology 2015-10-05 Tom Shearer

Collagen fibrils are the building block of many biological tissues, which viability depend on the fibrils properties. Altered properties of collagen fibrils are central to the appearance of many diseases, while physiological or native…

Soft Condensed Matter · Physics 2026-05-08 Konstantinos Steiakakis , Alan Pichard , Maxime Vassaux

Collagen fibrils are the main structural component of load-bearing tissues such as tendons, ligaments, skin, the cornea of the eye, and the heart. The D-band of collagen fibrils is an axial periodic density modulation that can be easily…

Biological Physics · Physics 2021-09-30 Matthew P. Leighton , Andrew D. Rutenberg , Laurent Kreplak

Bone is a multiscale heterogeneous materiel of which principal function is to support the body structure and to resist mechanical loading and fractures. Bone strength does not depend only on the quantity and quality of bone which is…

Tissues and Organs · Quantitative Biology 2011-07-07 Abdelwahed Barkaoui , Awad Bettamer , Ridha Hambli

A new strain energy function for the hyperelastic modelling of ligaments and tendons whose fascicles have a helical arrangement of fibrils is derived. The stress-strain response of a single fascicle whose fibrils exhibit varying levels of…

Tissues and Organs · Quantitative Biology 2015-10-05 Tom Shearer

Collagenolytic degradation is a process fundamental to tissue remodeling. The microarchitecture of collagen fibril networks changes during development, aging, and disease. Such changes to microarchitecture are often accompanied by changes…

Biological Physics · Physics 2024-08-13 B. Debnath , B. N. Narasimhan , S. I. Fraley , P. Rangamani

Collagen fibrils are versatile self-assembled structures that provide mechanical integrity within mammalian tissues. The radius of collagen fibrils vary widely depending on experimental conditions \textit{in vitro} or anatomical location…

Soft Condensed Matter · Physics 2018-02-26 Samuel Cameron , Laurent Kreplak , Andrew D. Rutenberg

We present a fiber-distributed model of the reinforcing collagen of the human cornea. The model describes the basic connections between the components of the tissue by defining an elementary block (cell) and upscaling it to the physical…

Biological Physics · Physics 2023-06-28 Maria Laura De Bellis , Marcello Vasta , Alessio Gizzi , Anna Pandolfi

Mineralized collagen microfibrils in human bone provide its mechanical properties (stiffness, elasticity, ductility, energy dissipation and strength). However, detailed 3D finite element models describing the mechanical behaviour of the…

Tissues and Organs · Quantitative Biology 2012-03-01 Ridha Hambli , Abdelwahed Barkaoui

Collagen forms the structural scaffold of connective tissues in all mammals. Tissues are remarkably resistant against mechanical deformations because collagen molecules hierarchically self-assemble in fibrous networks that stiffen with…

Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior stems from a significant separation between the stiffnesses…

Soft Condensed Matter · Physics 2019-05-21 Robbie Rens , Carlos Villarroel , Gustavo Düring , Edan Lerner

Microstructural models of soft tissue deformation are important in applications including artificial tissue design and surgical planning. The basis of these models, and their advantage over their phenomenological counterparts, is that they…

Biological Physics · Physics 2022-05-06 James Haughton , Simon L. Cotter , William J. Parnell , Tom Shearer

One of the essential questions in the area of granular matter is, how to obtain macroscopic tensorial quantities like stress and strain from ``microscopic'' quantities like the contact forces in a granular assembly. Different averaging…

Statistical Mechanics · Physics 2007-05-23 Marc Lätzel , Stefan Luding , Hans J. Herrmann

A new relaxation approach is proposed which allows for the description of stress- and strain-softening at finite strains. The model is based on the construction of a convex hull replacing the originally non-convex incremental stress…

Computational Engineering, Finance, and Science · Computer Science 2023-02-08 Maximilian Köhler , Daniel Balzani

We study the micromechanics of collagen-I gel with the goal of bridging the gap between theory and experiment in the study of biopolymer networks. Three-dimensional images of fluorescently labeled collagen are obtained by confocal…

Soft Condensed Matter · Physics 2009-09-29 Andrew M. Stein , David A. Vader , David A. Weitz , Leonard M. Sander

Collagen is a key structural protein in the human body, which undergoes mineralization during the formation of hard tissues. Earlier studies have described the mechanical behavior of bone at different scales highlighting material features…

Applied Physics · Physics 2021-07-02 Mario Milazzo , Gang Seob Jung , Serena Danti , Markus J. Buehler

Micron-scale single crystalline materials deform plastically via large intermittent strain bursts that make the deformation process unpredictable. Here we investigate this stochastic phenomenon by analysing the plastic response of an…

Collagen is the main structural and load-bearing element of various connective tissues, where it forms the extracellular matrix that supports cells. It has long been known that collagenous tissues exhibit a highly nonlinear stress-strain…

Biopolymer gels such as fibrin and collagen networks are known to develop tensile axial stress when subject to torsion. This negative normal stress is opposite to the classical Poynting effect observed for most elastic solids including…

Soft Condensed Matter · Physics 2018-04-04 Mahsa Vahabi , Bart E. Vos , Henri C. G. de Cagny , Daniel Bonn , Gijsje H. Koenderink , F. C. MacKintosh

Plastic deformation in microscale differs from the macroscopic plasticity in two respects: (i) the flow stress of small samples depends on their size (ii) the scatter of plasticity increases significantly. In this work we focus on the…

Materials Science · Physics 2015-03-10 Olga Kapetanou , Vasilis Koutsos , Efstathios Theotokoglou , Daniel Weygand , Michael Zaiser
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