An invariant-based damage model for human and animal skins

Li, W. and Luo, X. Y. (2016) An invariant-based damage model for human and animal skins. Annals of Biomedical Engineering, 44(10), pp. 3109-3122. (doi: 10.1007/s10439-016-1603-9) (PMID:27066788) (PMCID:PMC5042997)

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Constitutive modelling of skins that account for damage effects is important to provide insight for various clinical applications, such as skin trauma and injury, artificial skin design, skin aging, disease diagnosis, surgery, as well as comparative studies of skin biomechanics between species. In this study, a new damage model for human and animal skins is proposed for the first time. The model is nonlinear, anisotropic, invariant-based, and is based on the Gasser–Ogden–Holzapfel constitutive law initially developed for arteries. Taking account of the mean collagen fibre orientation and its dispersion, the new model can describe a wide range of skins with damage. The model is first tested on the uniaxial test data of human skin and then applied to nine groups of uniaxial test data for the human, swine, rabbit, bovine and rhino skins. The material parameters can be inversely estimated based on uniaxial tests using the optimization method in MATLAB with a root mean square error ranged between 2.15% and 12.18%. A sensitivity study confirms that the fibre orientation dispersion and the mean fibre angle are among the most important factors that influence the behaviour of the damage model. In addition, these two parameters can only be reliably estimated if some histological information is provided. We also found that depending on the location of skins, the tissue damage may be brittle controlled by the fibre breaking limit (i.e., when the fibre stretch is greater than 1.13–1.32, depending on the species), or ductile (due to both the fibre and the matrix damages). The brittle damages seem to occur mostly in the back, and the ductile damages are seen from samples taken from the belly. The proposed constitutive model may be applied to various clinical applications that require knowledge of the mechanical response of human and animal skins.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Luo, Professor Xiaoyu and Li, Dr Wenguang
Authors: Li, W., and Luo, X. Y.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Annals of Biomedical Engineering
ISSN (Online):1573-9686
Published Online:11 April 2016
Copyright Holders:Copyright © 2016 The Authors
First Published:First published in Annals of Biomedical Engineering 2016
Publisher Policy:Reproduced under a Creative Commons License
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
627261IAA-EPSRC: Work on the Predictive Modelling of Extruded Collagen TubeXiaoyu LuoEngineering & Physical Sciences Research Council (EPSRC)UNSPECIFIEDM&S - MATHEMATICS
618711Impact Acceleration Account (IAA - EPSRC)Jonathan CooperEngineering & Physical Sciences Research Council (EPSRC)EP/K503903/1VICE PRINCIPAL RESEARCH & ENTERPRISE
694461EPSRC Centre for Multiscale soft tissue mechanics with application to heart & cancerRaymond OgdenEngineering & Physical Sciences Research Council (EPSRC)EP/N014642/1M&S - MATHEMATICS