ArticlePolymers2018
Mathematical Modeling and Simulations for Large-Strain J-Shaped Diagrams of Soft Biological Materials.
Article in Polymers, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Mechanical Properties and Microstructure of Decellularized Brown Seaweed Scaffold for Tissue Engineering.Bioengineering (Basel, Switzerland) · 2025Article
- Article
- Soft three-dimensional network materials with rational bio-mimetic designs.Nature communications · 2020Article
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Authors and funding
3 authors.
Funding
Abstract
Herein, we study stress⁻strain diagrams of soft biological materials such as animal skin, muscles, and arteries by Finsler geometry (FG) modeling. The stress⁻strain diagram of these biological materials is always J-shaped and is composed of toe, heel, linear, and failure regions. In the toe region, the stress is almost zero, and the length of this zero-stress region becomes very large (≃150%) in, for example, certain arteries. In this paper, we study long-toe diagrams using two-dimensional (2D) and 3D FG modeling techniques and Monte Carlo (MC) simulations. We find that, except for the failure region, large-strain J-shaped diagrams are successfully reproduced by the FG models. This implies that the complex J-shaped curves originate from the interaction between the directional and positional degrees of freedom of polymeric molecules, as implemented in the FG model.
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