Determination of material models for arterial walls from uniaxial extension tests and histological structure

Holzapfel, Gerhard

doi:10.1016/j.jtbi.2005.05.006

Cited by 273 publications

(243 citation statements)

References 34 publications

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“…These allowed measurement, via optical means, of the stretches in the first and second principal directions [29]. Representative sample geometry and marker placement is shown in figure 1.…”

Section: Test Protocolmentioning

confidence: 99%

Creating a model of diseased artery damage and failure from healthy porcine aorta

Noble

Smulders

Green

et al. 2016

Journal of the Mechanical Behavior of Biomedical Materials

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Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/) eprints@whiterose.ac.uk https://eprints.whiterose.ac.uk/ Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request.Creating a model of diseased artery damage and failure from healthy porcine aorta AbstractLarge quantities of diseased tissue are required in the research and development of new generations of medical devices, for example for use in physical testing. However, these are difficult to obtain. In contrast, porcine arteries are readily available as they are regarded as waste. Therefore, reliable means of creating from porcine tissue physical models of diseased human tissue that emulate well the associated mechanical changes would be valuable. To this end, we studied the effect on mechanical response of treating porcine thoracic aorta with collagenase, elastase and glutaraldehyde. The alterations in mechanical and failure properties were assessed via uniaxial tension testing. A constitutive model composed of the Gasser-Ogden-Holzapfel model, for elastic response, and a continuum damage model, for the failure, was also employed to provide a further basis for comparison [1,2]. For the concentrations used here it was found that: collagenase treated samples showed decreased fracture stress in the axial direction only; elastase treated samples showed increased fracture stress in the circumferential direction only; and glutaraldehyde samples showed no change in either direction. With respect to the proposed constitutive model, both collagenase and elastase had a strong effect on the fibre-related terms. The model more closely captured the tissue response in the circumferential direction, due to the smoother and sharper transition from damage initiation to complete failure in this direction. Finally, comparison of the results with those of tensile tests on diseased tissues suggests these treatments indeed provide a basis for creation of physical models of diseased arteries.

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“…These allowed measurement, via optical means, of the stretches in the first and second principal directions [29]. Representative sample geometry and marker placement is shown in figure 1.…”

Section: Test Protocolmentioning

confidence: 99%

Creating a model of diseased artery damage and failure from healthy porcine aorta

Noble

Smulders

Green

et al. 2016

Journal of the Mechanical Behavior of Biomedical Materials

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“…Hence, many works have been carried out to obtain the 2-dimensional (2D) or 3-dimensional (3D) constitutive equations from uniaxial data but not for skin tissues. [7][8][9] The small sample size is another reason which might be related to the samples and multi-layered structure of the skin tissues. 10,11 These limitations trigger bounding the application of biaxial tensile tests in determining the mechanical properties of soft biological tissues.…”

Section: Introductionmentioning

confidence: 99%

“…The recently reported constitutive equations showed that the uniaxial tests on 2 orthogonally cut samples enable us to determine the anisotropic mechanical properties of soft biological tissues same as that achieved by biaxial tests. 7,12 The mechanical properties of the skin tissue so far have been measured by applying deformation forces, including traction, tension, suction, torsion or indentation in various ways to the skin samples. 11,13,14 Uniaxial extension setups are beneficial as the can be used to evaluate in-plane directional differences in material properties and can be non-invasive, applicable and easy to use in vivo.…”

Section: Introductionmentioning

confidence: 99%

Mechanical characterization of the rat and mice skin tissues using histostructural and uniaxial data

2015

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The skin tissue has been shown to behave like a nonlinear anisotropic material. This study was aimed to employ a constitutive fiber family equation to characterize the nonlinear anisotropic mechanical behavior of the rat and mice skin tissues in different anatomical locations, including the abdomen and back, using histostructural and uniaxial data. The rat and mice skin tissues were excised from the animals' body and then the histological analyses were performed on each skin type to determine the mean fiber orientation angle. Afterward, the preconditioned skin tissues were subjected to a series of quasi-static axial and circumferential loads until the incidence of failure. The crucial role of fiber orientation was explicitly added into a proposed strain energy density function. The material coefficients were determined using the constrained nonlinear optimization method based on the axial and circumferential extension data of the rat and mice samples at different anatomical locations. The material coefficients of the skins were given with R 2 0.998. The results revealed a significant load-bearing capacity and stiffness of the rat abdomen compared to the rat back tissues. In addition, the mice abdomen showed a higher stiffness in the axial direction in comparison with circumferential one, while the mice back displayed its highest stiffness in the circumferential direction. The material coefficients of the rat and mice skin tissues were determined and well compared to the experimental data. The optimized fiber angles were also compared to the experimental histological data, and in all cases less than 11.85% differences were observed in both the skin tissues.

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“…An equivalent response is obtained for the two ODFs in the uniaxial tests (Figure 4(a) and (b)). Not such a good agreement was obtained for the equibiaxial tests (Figure 4(c) and (d)) due to the fact that the model paramters were obtained from uniaxial tests and [13]. In view of these results, it is worth noting that the use of the Bingham distribution allowed getting similar results with a single family of fibres instead of the two helically oriented families of fibres modelled by means of the von Mises ODF.…”

Section: Discussionmentioning

confidence: 92%

On the use of the Bingham statistical distribution in microsphere-based constitutive models for arterial tissue

Alastrué

Saéz

Martı́nez

et al. 2010

Mechanics Research Communications

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Constitutive models for arterial tissue have been an active research field during the last years. The main micro-constituents of blood vessels are different types of cells and the extra-cellular matrix formed by an isotropic high water content ground substance and a network composed of elastin and collagen fibres. Usually the arterial tissue has been modelled as a hyperelastic material within the framework of continuum mechanics, whereas inclusion of structural tensors into constitutive laws is the most widely used technique to introduce the anisotropy induced by the fibres. Though the different existing fibre bundles present a clear preferential direction, the dispersion inherent to biological tissue advices using of constitutive models including representative structural information associated to the spatial probabilistic distribution of the fibres. Lately, microsphere-based models have demonstrated to be a powerful tool to incorporate this information. The fibre dispersion is incorporated by means of an Orientation Density Function (ODF) that weights the contribution of each fibre in each direction of the micro-sphere. In previous works the rotationally symmetric von Mises ODF was successfully applied to the modelling of blood vessels. In this study the inclusion of the Bingham ODF into microsphere-based model is analysed. This ODF exhibits some advantages with respect to the von Mises one, like a greater versatility and a comparable response to uniaxial and equibiaxial tension tests.

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Determination of material models for arterial walls from uniaxial extension tests and histological structure

Cited by 273 publications

References 34 publications

Creating a model of diseased artery damage and failure from healthy porcine aorta

Creating a model of diseased artery damage and failure from healthy porcine aorta

Mechanical characterization of the rat and mice skin tissues using histostructural and uniaxial data

On the use of the Bingham statistical distribution in microsphere-based constitutive models for arterial tissue

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