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Holzapfel, Gerhard; Gasser, Thomas C.; Ogden, Ray W.

doi:10.1023/a:1010835316564

Cited by 2,140 publications

(456 citation statements)

References 55 publications

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“…Positive numbers C k 1 (kPa) and C k 2 (dimensionless) are associated material parameters. If we assume that the material parameters for the diagonal fibers become equal (C 3 1 D C 4 1 and C 3 2 D C 4 2 ), 19,21,22,25 which is supported by a new line of evidence, 46 then it leads to the 4-fiber Table 2. The identified material parameters of rat and mice skins at different anatomical locations, i.e., back and abdomen …”

Section: Constitutive Modelmentioning

confidence: 88%

“…17,18 Many works either chose a purely phenomenological approach like the Fung-type model, or consider histostructural information, such as the Holzapfel-Gasser-Ogden constitutive model 19 or fiber family model [20][21][22] to capture the nonlinear hyperelastic mechanical behavior of the soft biological tissues, especially the arterial wall. Since the fiber family constitutive based material model has the potential ability to address the mechanical properties of the skin tissue better than that of phenomenological model, [23][24][25] it would be useful and practically valuable to determine the material coefficients of the rat and mice skins in different anatomical locations, including the abdomen and back, from uniaxial data with the previously proposed model by Holzapfel.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Constitutive Modelmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

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

2015

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“…Motivated by the nonlinearity and anisotropy of arterial walls [31,32], we have utilised the GOH model to describe the elastic behaviour [2]. This has been used frequently to capture the response of arterial walls in uniaxial tension [33,34,20].…”

Section: Constitutive Modellingmentioning

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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“…We assume that the material is hyperelastic, incompressible, homogeneous, isotropic and subject to growth, and each material in the two-layered cylindrical tube is characterized by a strain-energy function (A i,o ). Here, following existing models for arteries (Holzapfel et al 2000) and the data available for stem properties (Hejnowicz & Sievers 1996), we adopt a model where the inner cylinder is a neo-Hookean material and the outer layer is a Fung material with strain-stiffening properties…”

Section: (B) Isotropic Two-layer Model With Constant Growthmentioning

confidence: 99%

“…While it is evident that many plant stems develop axial tissue tension, the overall effect on the mechanics is not yet understood. Similarly, many other cylindrical structures, such as tree trunks, roots and arteries (Holzapfel et al 2000), also develop axial tissue tension and the mechanical role of these residual stresses is not known.…”

Section: Introductionmentioning

confidence: 99%

Differential growth and residual stress in cylindrical elastic structures

Vandiver

Goriely

2009

Phil. Trans. R. Soc. A.

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Cylindrical forms are among one of Nature's fundamental building blocks. They serve many different purposes, from sustaining body weight to carrying flows. Their mechanical properties are generated through the often complex arrangements of the walls. In particular, in many structures that have elastic responses, such as stems and arteries, the walls are in a state of tension generated by differential growth. Here, the effect of differential growth and residual stress on the overall mechanical response of the cylindrical structure is studied within the framework of morpho-elasticity.

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Untitled

Cited by 2,140 publications

References 55 publications

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

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

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

Differential growth and residual stress in cylindrical elastic structures

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