ArticleBiophysical journal2015
Two fundamental mechanisms govern the stiffening of cross-linked networks.
Article in Biophysical journal, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 34 papers.
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Who cites it
34 citing papers in PubMed, 109 citations in OpenAlex.
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- The structure and mechanics of the cell cortex depend on the location and adhesion state.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- The influence of physical and spatial substrate characteristics on endothelial cells.Materials today. Bio · 2024Review
- Effect of Cross-Link Homogeneity on the High-Strain Behavior of Elastic Polymer Networks.Macromolecules · 2024Article
- The role of mechanics in axonal stability and development.Seminars in cell & developmental biology · 2023Review
- Effect of aging on the biaxial mechanical behavior of human descending thoracic aorta: Experiments and constitutive modeling considering collagen crosslinking.Journal of the mechanical behavior of biomedical materials · 2023Article
- Toughness of Network Materials: Structural Parameters Controlling Damage Accumulation.Journal of the mechanics and physics of solids · 2023Article
- Hyperelastic continuum models for isotropic athermal fibrous networks.Interface focus · 2022Article
- Network dynamics of the nonlinear power-law relaxation of cell cortex.Biophysical journal · 2022Article
- A discrete fiber network finite element model of arterial elastin network considering inter-fiber crosslinking property and density.Journal of the mechanical behavior of biomedical materials · 2022Article
- Humidity dependence of fracture toughness of cellulose fibrous networks.Engineering fracture mechanics · 2022Article
- From Strain Stiffening to Softening-Rheological Characterization of Keratins 8 and 18 Networks Crosslinked via Electron Irradiation.Polymers · 2022Article
- 3D reactive inkjet printing of aliphatic polyureas using in-air coalescence technique.RSC advances · 2022Article
- Viscoelasticity, Like Forces, Plays a Role in Mechanotransduction.Frontiers in cell and developmental biology · 2022Review
- Nonlinear Mechanical Properties of Prestressed Branched Fibrous Networks.Biophysical journal · 2021Article
- Strain Stiffening and Negative Normal Force of Agarose Hydrogels.Macromolecules · 2020Article
- Review
- Elastic Anisotropy Governs the Range of Cell-Induced Displacements.Biophysical journal · 2020Article
Corrections and comments
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Authors and funding
3 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Biopolymer networks, such as those constituting the cytoskeleton of a cell or biological tissue, exhibit a nonlinear strain-stiffening behavior when subjected to large deformations. Interestingly, rheological experiments on various in vitro biopolymer networks have shown similar strain-stiffening trends regardless of the differences in their microstructure or constituents, suggesting a universal stiffening mechanism. In this article, we use computer simulations of a random network comprised of cross-linked biopolymer-like fibers to substantiate the notion that this universality lies in the existence of two fundamental stiffening mechanisms. After showing that the large strain response is accompanied by the development of a stress path, i.e., a percolating path of axially stressed fibers and cross-links, we demonstrate that the strain stiffening can be caused by two distinctly different mechanisms: 1) the pulling out of stress-path undulations; and 2) reorientation of the stress path. The former mechanism is bending-dominated and can be recognized by a power-law dependence with exponent 3/2 of the shear modulus on stress, whereas the latter mechanism is stretching-dominated and characterized by a power-law exponent 1/2. We demonstrate how material properties of the constituents, as well as the network microstructure, can affect the transition between the two stiffening mechanisms and, as such, control the dominant power-law scaling behavior.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.