2020
DOI: 10.1098/rsif.2019.0708
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Three-dimensional numerical simulation of soft-tissue wound healing using constrained-mixture anisotropic hyperelasticity and gradient-enhanced damage mechanics

Abstract: Healing of soft biological tissues is the process of self-recovery or self-repair after injury or damage to the extracellular matrix (ECM). In this work, we assume that healing is a stress-driven process, which works at recovering a homeostatic stress metric in the tissue by replacing the damaged ECM with a new undamaged one. For that, a gradient-enhanced continuum healing model is developed for three-dimensional anisotropic tissues using the modified anisotropic Holzapfel–Gasser–Ogden constitutive model. An a… Show more

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Cited by 19 publications
(8 citation statements)
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“…The first advantage of the presented model is that it can assess nonlocal damage with uncertain material parameters, including internal length scales. In our previous works, 12,13 it was proved that the internal length scales have obvious effects on the localization of damage, for example, a larger internal length scales lead to a larger lower level of damage and activated zone. In this paper, the influence of uncertain internal length scales can be analyzed by the proposed model.…”
Section: Discussionmentioning
confidence: 99%
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“…The first advantage of the presented model is that it can assess nonlocal damage with uncertain material parameters, including internal length scales. In our previous works, 12,13 it was proved that the internal length scales have obvious effects on the localization of damage, for example, a larger internal length scales lead to a larger lower level of damage and activated zone. In this paper, the influence of uncertain internal length scales can be analyzed by the proposed model.…”
Section: Discussionmentioning
confidence: 99%
“…In this part, series of tests on 286 elements are performed. The mesh‐dependence had been already examined in our previous works 12,13 . Here we investigate the influence of the shear modulus and the internal length scales on the damage analysis in deterministic problem.…”
Section: Numerical Examplesmentioning
confidence: 94%
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“…Since the density does not change during the damaging phase, it corresponds to the initial collagen density. Note that the contribution of collagen to the strain energy per unit volume ( 10) is not further divided into a contribution for damaged and intact collagen, as has been done, e.g., by He et al (2019) and Zuo et al (2020).…”
Section: Biological Modelmentioning
confidence: 99%
“…Tissue remodeling is governed by laws of production and degradation for each constituent based on stress states. This type of model has been used to predict different tissue adaptations such as aneurysm growth for instance by Baek et al ( 2006 ); Alberto Figueroa et al ( 2009 ); Watton and Hill ( 2009 ); Zeinali-Davarani and Baek ( 2012 ); Valentín et al ( 2013 ); Cyron et al ( 2016 ); Braeu et al ( 2017 ); Famaey et al ( 2018 ); Latorre and Humphrey ( 2018b ), and Mousavi et al ( 2019 ) or wound healing by Zuo et al ( 2020 ). However, to the best of our knowledge, the constrained mixture theory has never been used to model healing after arterial clamping.…”
Section: Introductionmentioning
confidence: 99%