Experimental study and constitutive modelling of the passive mechanical properties of the ovine infrarenal vena cava tissue

Alastrué, V.; Peña, Estefanía; Martı́nez, Miguel Ángel; Doblaré, M.

doi:10.1016/j.jbiomech.2008.07.008

Cited by 53 publications

(55 citation statements)

References 34 publications

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“…An application to the passive behaviour of ovine infrarenal vena cava tissues was the subject of the paper by Alastrué et al (2008b), in which the modelling approach was based on equation (2.29) but with different constants associated with I 4 and I 6 . Their own experimental data showed the marked anisotropic character of the tissue, which was reproduced accurately with their model.…”

Section: (B) Modelling Other Soft Tissuesmentioning

confidence: 99%

Constitutive modelling of arteries

2010

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This review article is concerned with the mathematical modelling of the mechanical properties of the soft biological tissues that constitute the walls of arteries. Many important aspects of the mechanical behaviour of arterial tissue can be treated on the basis of elasticity theory, and the focus of the article is therefore on the constitutive modelling of the anisotropic and highly nonlinear elastic properties of the artery wall. The discussion focuses primarily on developments over the last decade based on the theory of deformation invariants, in particular invariants that in part capture structural aspects of the tissue, specifically the orientation of collagen fibres, the dispersion in the orientation, and the associated anisotropy of the material properties. The main features of the relevant theory are summarized briefly and particular forms of the elastic strain-energy function are discussed and then applied to an artery considered as a thickwalled circular cylindrical tube in order to illustrate its extension-inflation behaviour. The wide range of applications of the constitutive modelling framework to artery walls in both health and disease and to the other fibrous soft tissues is discussed in detail. Since the main modelling effort in the literature has been on the passive response of arteries, this is also the concern of the major part of this article. A section is nevertheless devoted to reviewing the limited literature within the continuum mechanics framework on the active response of artery walls, i.e. the mechanical behaviour associated with the activation of smooth muscle, a very important but also very challenging topic that requires substantial further development. A final section provides a brief summary of the current state of arterial wall mechanical modelling and points to key areas that need further modelling effort in order to improve understanding of the biomechanics and mechanobiology of arteries and other soft tissues, from the molecular, to the cellular, tissue and organ levels.

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Section: (B) Modelling Other Soft Tissuesmentioning

confidence: 99%

Constitutive modelling of arteries

2010

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“…At these nonphysiological loads arteries display inelastic behaviour as a result of damage to the tissue, which can be observed as a softening of the stress-strain response between loading cycles (Alastrué et al, 2008;Pena et al, 2010). Such structural changes due to tissue damage need be considered when modelling surgical interventions.…”

Section: Introductionmentioning

confidence: 99%

An anisotropic inelastic constitutive model to describe stress softening and permanent deformation in arterial tissue

Maher

Creane

Lally

et al. 2012

Journal of the Mechanical Behavior of Biomedical Materials

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.A n anisotropic inelastic constitutive model to describe stress softening and permanent deformation in arterial tissue A bstractInelastic phenomena such as softening and unrecoverable inelastic strains induced by loading have been observed experimentally in soft tissues such as arteries. These phenomena need to be accounted for in constitutive models of arterial tissue so that computational models can accurately predict the outcomes of interventional procedures such as balloon angioplasty and stenting that involve non-physiological loading of the tissue. In this study, a novel constitutive model is described that accounts for inelastic effects such as Mullins-type softening and permanent set in a fibre reinforced tissue. The evolution of inelasticity is governed by a set of internal variables. Softening is introduced through a typical continuum damage mechanics approach, while the inelastic residual strains are introduced through an additive split in the stress tensor. Numerical simulations of aorta and carotid arterial tissue subjected to uniaxial testing in the longitudinal, circumferential and axial directions reproduce the anisotropic inelastic behaviour of the tissue. Material parameters derived from best-fits to experimental data are provided to describe these inelastic effects for both aortic and carotid tissue.

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“…Substituting stresses (6) into (11) and integrating it over the radius R from the inner wall R i with the condition (7), we have…”

Section: Jiu-sheng Renmentioning

confidence: 99%

“…The venous wall is often modeled as a one-layer homogenous circular tube. Most of strain energy functions for the venous wall are built in the form of exponential and logarithmic functions [8][9][10][11] . However, the negative pressure instability problem for the venous wall cannot be described by these functions.…”

Section: Introductionmentioning

confidence: 99%

Mechanical performance and negative pressure instability for venous walls

Ren

2011

Appl. Math. Mech.-Engl. Ed.

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Mechanical properties, such as the deformation and stress distributions for venous walls under the combined load of transmural pressure and axial stretch, are examined within the framework of nonlinear elasticity with one kind of hyper-elastic strain energy functions. The negative pressure instability problem of the venous wall is explained through energy comparison. First, the deformation equation of the venous wall under the combined loads is obtained with a thin-walled circular cylindrical tube. The deformation curves and the stress distributions for the venous wall are given under the normal transmural pressure, and the regulations are discussed. Then, the deformation curves of the venous wall under the negative transmural pressure or the internal pressure less than the external pressure are given. Finally, the negative pressure instability problem is discussed through energy comparison.

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Experimental study and constitutive modelling of the passive mechanical properties of the ovine infrarenal vena cava tissue

Cited by 53 publications

References 34 publications

Constitutive modelling of arteries

Constitutive modelling of arteries

An anisotropic inelastic constitutive model to describe stress softening and permanent deformation in arterial tissue

Mechanical performance and negative pressure instability for venous walls

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