An anisotropic discrete fibre model based on a generalised strain invariant with application to soft biological tissues

Flynn, Cormac; Rubin, M. B.

doi:10.1016/j.ijengsci.2012.04.006

Cited by 22 publications

(15 citation statements)

References 31 publications

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“…Using the same experimental data as in their 2011 paper [54,111], Flynn & Rubin [112] identified constitutive parameters of their new strain energy function (equation (4.37)). The fit was not as good as in their previous study [110] as the fitting errors for rabbit and pig skin data were, respectively, 12% and 17%.…”

Section: Remarkmentioning

confidence: 99%

Mathematical and computational modelling of skin biophysics: a review

Limbert

2017

Proc. R. Soc. A.

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The objective of this paper is to provide a review on some aspects of the mathematical and computational modelling of skin biophysics, with special focus on constitutive theories based on nonlinear continuum mechanics from elasticity, through anelasticity, including growth, to thermoelasticity. Microstructural and phenomenological approaches combining imaging techniques are also discussed. Finally, recent research applications on skin wrinkles will be presented to highlight the potential of physics-based modelling of skin in tackling global challenges such as ageing of the population and the associated skin degradation, diseases and traumas.

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Section: Remarkmentioning

confidence: 99%

Mathematical and computational modelling of skin biophysics: a review

Limbert

2017

Proc. R. Soc. A.

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“…Itskov and Ehret (2009) have proposed an alternative model of tissues which is based on a generalized invariant of deformation determined by a weighted average of different structural tensors. This idea has been used in Flynn and Rubin (2012) to develop a generalized icosahedron model. Specifically, a generalized structural tensor W is defined in terms of the weights w i and the structural tensors where C is the right Cauchy-Green deformation tensor (16.4).…”

Section: Discussionmentioning

confidence: 99%

“…Moreover, it was shown in Flynn and Rubin (2012) that when the strain energy is a simple polynomial function of , the coefficients of the polynomial and the weights w i can be determined to match large deformation experimental data for the anisotropic response of various tissues. The advantages of this generalized icosahedron model are that the number of material constants is small, it can be simplified to produce isotropic response exactly and depends on only a single structural tensor W so the constitutive response is simple to evaluate numerically.…”

Section: Discussionmentioning

confidence: 99%

Undesirable Anisotropy in a Discrete Fiber Bundle Model of Fibrous Tissues

Flynn

Rubin

2016

Structure-Based Mechanics of Tissues and Organs

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Lanir (J Biomech. 16(1): [1][2][3][4][5][6][7][8][9][10][11][12] 1983) proposed a structural model for the anisotropic response of fibrous tissues with fiber bundles oriented in space by a continuous orientation distribution. Each fiber bundle was assumed to have the same undulation distribution that characterizes its nonlinear elastic response. Recently, a discrete fiber icosahedron model for fibrous soft tissues has been introduced, which is based on fiber bundles parallel to the six lines that connect opposing vertices of a regular icosahedron. Although the parameters in the icosahedron model can be determined to match experimental data for the anisotropic response of various tissues, the icosahedron model predicts anisotropic response when the weights of the six fiber bundles are equal. This chapter quantifies this undesirable anisotropic response and refers to a new icosahedron model based on a generalized invariant which also matches experimental data and analytically reduces to an isotropic form when the weights of the fiber bundles are equal.

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“…For example, number of models have been used to describe the strain rate sensitivity of the material, such as Ogden 12-14 and other approaches. 15, 16 Shergold et al…”

Section: Analytical Modelling Of Skin and Polymersmentioning

confidence: 99%

Composite nature of fresh skin revealed during compression

Butler

Boddy

et al. 2015

Bioinspired, Biomimetic and Nanobiomaterials

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Biological systems are subjected to moderate to high strain rates in blast-type traumatic injuries. An improved understanding of how cells and tissues respond to extreme mechanical stresses could improve mitigation and post-injury treatment strategies. A key aim of our research is to create biologically meaningful injury models of soft tissues. Here we examine the material and cellular properties of freshly harvested porcine skin in compression. Comparative histopathology and analytical modelling suggests that fresh skin differentially responds low to moderate strains rates as a composite rather than that of a homogeneous polymer. The implications of this work are discussed in terms of creating improved analytical models to describe the material behavior of fresh skin.

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An anisotropic discrete fibre model based on a generalised strain invariant with application to soft biological tissues

Cited by 22 publications

References 31 publications

Mathematical and computational modelling of skin biophysics: a review

Mathematical and computational modelling of skin biophysics: a review

Undesirable Anisotropy in a Discrete Fiber Bundle Model of Fibrous Tissues

Composite nature of fresh skin revealed during compression

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