Online citations, reference lists, and bibliographies.

A Constitutive Formulation Of Vascular Tissue Mechanics Including Viscoelasticity And Softening Behaviour.

Estefanía Peña, V. Alastrué, Alicia Laborda, Miguel Angel Martínez, Manuel Doblaré
Published 2010 · Medicine, Engineering
Cite This
Download PDF
Analyze on Scholarcy
Share
Nearly all soft tissues, among which the vascular tissue is included, present a certain degree of viscoelastic response. This behaviour may be attributed in part to fluid transport within the solid matrix, and to the friction between its fluid and solid constituents. After being preconditioned, the tissue displays highly repetitive behaviour, so that it can be considered pseudo-elastic, that is, elastic but behaving differently in loading and unloading. Because of this reason, very few constitutive laws accounting for the viscoelastic behaviour of the tissue have been developed. Nevertheless, the consideration of this inelastic effect is of crucial importance in surgeries-like vascular angioplasty-where the mentioned preconditioning cannot be considered since non-physiological deformation is applied on the vessel which, in addition, can cause damage to the tissue. A new constitutive formulation considering the particular features of the vascular tissue, such as anisotropy, together with these two inelastic phenomena is presented here and used to fit experimental stress-stretch curves from simple tension loading-unloading tests and relaxation test on porcine and ovine vascular samples.
This paper references
10.1115/1.3167757
Mathematical foundations of elasticity
Jerrold E. Marsden (1983)
10.1016/j.cma.2006.09.009
An anisotropic viscoelastic fibre–matrix model at finite strains: Continuum formulation and computational aspects
B. Nedjar (2007)
10.1016/S0021-9290(03)00032-0
Cardiovascular solid mechanics. Cells, tissues, and organs
Kozaburo Hayashi (2003)
10.1080/10255840290010283
A Visco-hyperelastic Model With Damage for the Knee Ligaments Under Dynamic Constraints
Pierre Jean Arnoux (2002)
10.1023/A:1010835316564
A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models
Gerhard A. Holzapfel (2000)
10.1115/1.3138455
On nonlinear viscoelastic properties of arterial tissue.
Sheng-Luong Wu (1984)
10.1161/01.HYP.26.1.48
Effects of hypertension on viscoelasticity of carotid and femoral arteries in humans.
Ricardo L. Armentano (1995)
10.1016/B978-0-12-240801-4.50008-X
Theory of invariants
A. J. M. Spencer (1971)
10.1016/J.JBIOMECH.2007.08.001
Prediction of arterial failure based on a microstructural bi-layer fiber-matrix model with softening.
Konstantin Y. Volokh (2008)
10.1016/J.IJSOLSTR.2008.12.015
On the Mullins effect and hysteresis of fibered biological materials: A comparison between continuous and discontinuous damage models
Estefanía Peña (2009)
10.1161/01.RES.23.1.111
Measurement of Viscoelastic Properties of Arteries in the Living Dog
Barry S. Gow (1968)
10.5254/1.3546914
Effect of Stretching on the Properties of Rubber
L. Mullins (1948)
10.1016/j.jbiomech.2008.06.019
On modelling nonlinear viscoelastic effects in ligaments.
Estefanía Peña (2008)
10.1016/S0997-7538(01)01206-2
A structural model for the viscoelastic behavior of arterial walls : Continuum formulation and finite element analysis
Gerhard A. Holzapfel (2002)
10.1115/1.2900415
A visco-hyperelastic-damage constitutive model for the analysis of the biomechanical response of the periodontal ligament.
Arturo N. Natali (2008)
10.1007/s10237-004-0055-6
Nonlinear viscoelastic, thermodynamically consistent, models for biological soft tissue
Henry W. Haslach (2005)
10.1016/S0093-6413(97)00007-4
A constitutive model of the artery with damage
James Hokanson (1997)
10.1098/rsif.2005.0073
Hyperelastic modelling of arterial layers with distributed collagen fibre orientations
T. Christian Gasser (2005)
10.1161/01.RES.73.6.1040
Assessment of smooth muscle contribution to descending thoracic aortic elastic mechanics in conscious dogs.
Juan G. Barra (1993)
10.1088/0031-9155/53/17/006
Fractional-order viscoelasticity applied to describe uniaxial stress relaxation of human arteries.
Damian Craiem (2008)
10.1016/j.ijsolstr.2005.07.048
A polyconvex framework for soft biological tissues. Adjustment to experimental data
Daniel Balzani (2006)
10.1002/nme.1825
An uncoupled directional damage model for fibred biological soft tissues. Formulation and computational aspects
Begoña Calvo (2007)
10.1016/0045-7825(87)90107-1
On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects
J. C. Simo (1987)
10.1016/j.jbiomech.2007.03.011
Structural strain energy function applied to the ageing of the human aorta.
Martin A. Zulliger (2007)
10.1039/TF9615700829
Thermodynamic relations for high elastic materials
Paul J. Flory (1961)
10.1016/J.MECHRESCOM.2007.08.006
On thermodynamically consistent constitutive equations for fiber-reinforced nonlinearly viscoelastic solids with application to biomechanics
José Merodio (2007)
10.1016/j.jbiomech.2008.07.008
Experimental study and constitutive modelling of the passive mechanical properties of the ovine infrarenal vena cava tissue.
V. Alastrué (2008)
10.1016/j.mechrescom.2009.05.006
An anisotropic pseudo-elastic approach for modelling Mullins effect in fibrous biological materials
Estefanía Peña (2009)
10.1115/1.3162171
Biomechanics. Mechanical Properties of Living Tissues
Y. Fung (1982)
10.1152/ajpheart.00357.2003
Shear modulus of porcine coronary artery: contributions of media and adventitia.
Xiao Ping Lu (2003)
10.1016/j.cryobiol.2005.09.001
An in vitro study of cryopreserved and fresh human arteries: a comparison with ePTFE prostheses and human arteries studied non-invasively in vivo.
Ricardo L. Armentano (2006)
10.1002/NME.2212
On finite‐strain damage of viscoelastic‐fibred materials. Application to soft biological tissues
Estefanía Peña (2008)
10.1152/jappl.2002.92.1.362
Subfailure damage in ligament: a structural and cellular evaluation.
Paolo P. Provenzano (2002)
Theory of invariants. In: Continuum Physics
A.J.M. Spencer (1954)
10.1016/J.JMPS.2008.09.005
Anisotropic micro-sphere-based finite elasticity applied to blood vessel modelling
V. Alastrué (2009)
10.1016/J.CMA.2007.09.017
Finite element implementation of a stochastic three dimensional finite-strain damage model for fibrous soft tissue
José Fernando Rodríguez (2008)



This paper is referenced by
10.1007/s10237-011-0369-0
3D computational parametric analysis of eccentric atheroma plaque: influence of axial and circumferential residual stresses
Myriam Cilla (2012)
10.1080/10255842.2018.1538414
Image-based multi-scale mechanical analysis of strain amplification in neurons embedded in collagen gel
V. W. L. Chan (2019)
10.1002/cnm.2557
Finite element analysis of balloon-expandable coronary stent deployment: influence of angioplasty balloon configuration.
David Moral Martín (2013)
10.1007/S00707-010-0378-6
A formulation to model the nonlinear viscoelastic properties of the vascular tissue
Juan A. Peña (2011)
10.1016/B978-0-12-411557-6.00022-7
Finite Element Modelling in Musculoskeletal Biomechanics
Zimi Sawacha (2014)
10.1016/j.jbiomech.2014.01.004
A finite viscoelastic-plastic model for describing the uniaxial ratchetting of soft biological tissues.
Yilin Zhu (2014)
10.3929/ethz-a-010394755
Investigation of the Mechanical Behavior of Facial Soft Tissues
Johannes Weickenmeier (2015)
10.1016/j.jmbbm.2011.12.005
Mechanical characterization and constitutive modelling of the damage process in rectus sheath.
Pedro S Martins (2012)
10.1016/J.IJSOLSTR.2014.12.013
A regularised continuum damage model based on the mesoscopic scale for soft tissue
Sergio Blanco (2015)
10.3389/fbioe.2015.00002
Subfailure Overstretch Induces Persistent Changes in the Passive Mechanical Response of Cerebral Arteries
Eugene D. Bell (2015)
10.1016/J.COMPSTRUC.2013.10.002
Computational aspects of the numerical modelling of softening, damage and permanent set in soft biological tissues
Estefanía Peña (2014)
10.1007/978-3-319-14660-7_12
Ratchetting of Snake Skin: Experiments and Viscoelastic-Plastic Constitutive Model
Yilin Zhu (2015)
10.1007/978-3-319-02839-2_1
Fundamental Aspects in Modelling the Constitutive Behaviour of Fibered Soft Tissues
Begoña Calvo (2014)
10.1016/J.IJSOLSTR.2015.04.027
A new approach to modeling isotropic damage for Mullins effect in hyperelastic materials
Mar Miñano (2015)
10.1016/B978-0-12-804009-6.00005-5
Modeling of damage in soft biological tissues
Gerhard A. Holzapfel (2017)
Biomechanical properties of atherosclerotic plaques
Chen-Ket Chai (2015)
10.1016/j.jmbbm.2014.09.027
Quantitative diagnostics of soft tissue through viscoelastic characterization using time-based instrumented palpation.
Javier Palacio-Torralba (2015)
Multiscale mechano-morphology of soft tissues : a computational study with applications to cancer diagnosis and treatment
Javier Palacio Torralba (2016)
10.1016/J.COMPSTRUCT.2014.12.006
Meso-mechanically motivated modeling of layered fiber reinforced composites accounting for delamination
Jaan-Willem Simon (2015)
10.1016/j.jmbbm.2019.103550
In vitro histomechanical effects of enzymatic degradation in carotid arteries during inflation tests with pulsatile loading.
Olfa Trabelsi (2020)
10.1016/j.jbiomech.2013.02.012
Comparison of the vulnerability risk for positive versus negative atheroma plaque morphology.
Myriam Cilla (2013)
10.1007/s10570-019-02435-8
Highly temperature resistant cellulose nanofiber/polyvinyl alcohol hydrogel using aldehyde cellulose nanofiber as cross-linker
Longxiang Zhu (2019)
10.1016/J.MECHRESCOM.2011.09.002
Damage functions of the internal variables for soft biological fibred tissues
Estefanía Peña (2011)
10.1177/0954411913479530
Does microcalcification increase the risk of rupture?
Myriam Cilla (2013)
Modeling of damage-induced softening for arterial tissues
Hannah Weisbecker (2011)
10.1016/j.jtbi.2012.02.019
Effects of dispersion of fiber orientation on the mechanical property of the arterial wall.
Jiusheng Ren (2012)
10.1002/cnm.2654
Elastic-viscoplastic modeling of soft biological tissues using a mixed finite element formulation based on the relative deformation gradient.
Johannes Weickenmeier (2014)
10.1080/10255842.2010.547192
Identification of heterogeneous elastic properties in stenosed arteries: a numerical plane strain study
Alexandre Franquet (2012)
10.1016/j.jmbbm.2012.03.001
An anisotropic inelastic constitutive model to describe stress softening and permanent deformation in arterial tissue.
Eoghan Maher (2012)
10.1080/14658011.2020.1747160
Assessment of hyperelastic constitutive models for chopped aramid fibre-reinforced rubber composites
Jianhong Gao (2020)
10.1016/J.IJENGSCI.2010.06.006
Modeling in cardiovascular biomechanics
Joao S. Soares (2010)
Identification of potential clinical indicators of carotid plaque disruption using patient specific finite element modelling
Arthur Creane (2011)
See more
Semantic Scholar Logo Some data provided by SemanticScholar