Handedness-dependent hyperelasticity of biological soft fibers with multilayered helical structures |
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Institution: | 1. Institute of Biomechanics and Medical Engineering, AML, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China;2. Department of Mechanical Engineering, University of Maryland, College Park, Maryland 20742, USA;1. Institute for Mechanical Systems, ETH Zürich, Leonhardstrasse 21, CH-8092 Zürich, Switzerland;2. Chair for Computational Science, ETH Zürich, Clausiusstrasse 33, CH-8092 Zürich, Switzerland |
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Abstract: | Collagen fibrils with multilayered helical structures widely exist in biological soft tissues, e.g., blood vessels, tendons, and ligaments. Understanding the mechanical properties of this kind of chiral materials is not only essential for evaluating the mechanical behaviors of the host tissues but also of significance for medical engineering, clinical diagnosis, and surgical operation. In this paper, a theoretical model is presented to investigate the hyperelasticity of biological soft fibers with multilayered helical structures. The effects of the initial helical angle, number and handedness of the fibers in each ply on the mechanical response of the material are examined. Our analysis reveals a switch of contact modes between two neighboring layers, which may greatly alter the overall non-linear response of the material. The Poisson?s ratio of such a multilayered string can be greater than 0.5. The obtained results agree with relevant experiments of soft tissues. This work sheds light on the non-linear mechanics of chiral materials and may also guide the design of biomimetic materials. |
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Keywords: | Helical structure Mechanical property Hyperelasticity Collagen fibril Soft tissue |
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