Anisotropic and hyperelastic identification of in vitro human arteries from full-field optical measurements

Avril, Stéphane; Badel, Pierre; Duprey, Ambroise

doi:10.1016/j.jbiomech.2010.07.004

Cited by 133 publications

(117 citation statements)

References 31 publications

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“…We first validate our approach using optical measurements for human arteries (Avril et al 2010), and inversely estimating the material parameters β , c , 1 k and 2 k of the artery model. The dimensions of the zero-pressure configuration of the artery are shown in Fig.…”

Section: Validationsmentioning

confidence: 99%

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Anisotropic behaviour of human gallbladder walls

Hill

Ogden

et al. 2013

Journal of the Mechanical Behavior of Biomedical Materials

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Inverse estimation of biomechanical parameters of soft tissues from non-invasive measurements has clinical significance in patient-specific modelling and disease diagnosis.In this paper, we propose a fully nonlinear approach to estimate the mechanical properties of the human gallbladder wall muscles from in vivo ultrasound images. The iteration method consists of a forward approach, in which the constitutive equation is based on a modified Hozapfel-Gasser-Ogden law initially developed for arteries. Five constitutive parameters describing the two orthogonal families of fibres and the matrix material are determined by comparing the computed displacements with medical images. The optimization process is carried out using the MATLAB toolbox, a Python code, and the ABAQUS solver. The proposed method is validated with published data in artery and subsequently applied to ten human gallbladder samples. Results show that the human gallbladder wall is anisotropic during passive refilling phase, and that the peak stress is 1.6 times greater than that calculated using the linear mechanics. This discrepancy arises because the wall thickness reduces by 1.6 times during the deformation, which is not predicted by conventional linear elasticity. If the change of wall thickness is accounted for, then the linear model can used to predict the gallbladder stress and its correlation with pain. This work provides further understanding of the nonlinear characteristics of human gallbladder.

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Section: Validationsmentioning

confidence: 99%

“…Following (Avril et al 2010), the experimental artery is treated as membrane without residual stress, and with two spiral families of fibres, as shown in Fig. 6(a).…”

Section: Validationsmentioning

confidence: 99%

Anisotropic behaviour of human gallbladder walls

Hill

Ogden

et al. 2013

Journal of the Mechanical Behavior of Biomedical Materials

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“…It is known that blood vessels can be described as hyperelastic materials [16]. Due to similar anatomical composition, the bile ducts can also be considered as hyperelastic materials.…”

Section: Fluid-structure Interaction Problem Statementmentioning

confidence: 99%

Biomechanical modelling of bile flow in the biliary system

Kuchumov

2018

MATEC Web Conf.

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Abstract. The biliary system consists of the biliary tree, gallbladder and major duodenal papilla. Soft tissues compliance plays important role in the bio-fluids transport. Particularly, bile flow disturbances due to bile duct wall motor function changes in the extra-hepatic ducts, from medicine point of view are called dyscinesia of biliary tract. Fluid motion in the elastic and compliant ducts can be described by different models (for example, Windkessel model, peristaltic fluid motion, FSI algorithm). Our approach is decomposition of the biliary system into three compartments (extra-hepatic biliary tree, gallbladder, major duodenal papilla). Bile flow in the extra-hepatic ducts is simulated using FSI algorithm. Bile flow in the gallbladder can be described as flow in the reservoir with compliant ducts using Windkessel model. Bile flow in the major duodenal papilla is considered as peristaltic fluid motion, because the wall contraction is really important factor of fluid motion in that segment. The coupling of these compartments is performed by boundary conditions. The biliary system geometry was obtained using MRI patient-specific data. It was confirmed that normal bile can be modeled as Newtonian fluid and lithogenic bile can be modeled as non-Newtonian fluid (Carreau fluid). Bile ducts were modeled as hyperelastic material.

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“…These were induced by the serrated groove of the grips which was designed to prevent the specimen from slipping during deformation. For parameter identification using the VFM, the logarithmic strains were calculated using an analytical procedure and the finite deformation theory as explained in (Avril et al, 2010;Kim et al, 2013). A brief introduction regarding this is given in Appendix B.…”

Section: Materials and Experimentsmentioning

confidence: 99%

“…As introduced in (Avril et al, 2010;Kim et al, 2013), in order to calculate the logarithmic strain values for the identification of material constitutive parameters using the proposed VFM…”

Section: Appendix Amentioning

confidence: 99%

Identification of nonlinear kinematic hardening constitutive model parameters using the virtual fields method for advanced high strength steels

Barlat

Kim

et al. 2016

International Journal of Solids and Structures

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In this work, the nonlinear kinematic hardening combined with Voce isotropic hardening was selected to characterize the material behavior of advanced high strength steel sheet samples subjected to a few reverse loading cycles. Multi-components of backstress were considered for the combined nonlinear kinematical hardening model, namely, one, two, and three backstress components. To calibrate the model, an inverse problem solution tool, so-called virtual fields method, which takes full advantage of full-field deformation measurement, was applied to identify the material constitutive parameters. First, finite element simulations of forward-reverse simple shear were performed to validate the proposed identification method. The influence of strain noise on the identification accuracy was also evaluated. Then, the proposed method was applied to three kinds of sheet metals (DP600, TRIP780 and TWIP980) tested under two cycles of forward-reverse simple shear for parameter identification. The identification results obtained with different number of backstress components were critically discussed.

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Anisotropic and hyperelastic identification of in vitro human arteries from full-field optical measurements

Cited by 133 publications

References 31 publications

Anisotropic behaviour of human gallbladder walls

Anisotropic behaviour of human gallbladder walls

Biomechanical modelling of bile flow in the biliary system

Identification of nonlinear kinematic hardening constitutive model parameters using the virtual fields method for advanced high strength steels

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