Effect of linear and Mooney–Rivlin material model on carotid artery hemodynamics

Abstract

Atherosclerosis is one of the most common cardiovascular diseases leading to high morbidity. The study of arterial dynamics using fluid–structure interaction (FSI) technique by taking into account the physiology of flow, the critical hemodynamic parameters can be determined which plays a crucial role in predictive medicine. Due to advances in the computational facilities, coupled field analysis such as FSI can facilitate understanding of the mechanics of stenosis progression and its early diagnosis. In this study a two-way FSI analysis is carried out using modified Navier–Stokes equations as the governing equations of blood flow for determining hemodynamic parameters. The arterial wall has been described at different linear elastic modulus and compared with hyperelastic Mooney–Rivlin model to evaluate the effect of different arterial stiffness on hemodynamics. The Mooney–Rivlin model predicts flow reduction with the severe backflow at arterial bifurcation resulting in decreased shear stress and oscillatory behavior. Furthermore, these findings may be used in understanding the advantages and disadvantages of using hyperelastic artery model in numerical simulations to better understand and predict the variable that causes cardiovascular diseases and as a diagnostic tool. In the present study, variation due to change in arterial wall properties such as linear elastic and Mooney Rivlin hyperelastic and its influence on hemodynamics are investigated.

Vascular Cast to Program Antistenotic Hemodynamics and Remodeling of Vein Graft

“…[11] As a result, the hyperelastic parameter values of the vascular properties were analyzed using the Mooney-Rivlin model as a reference and were entered into the computer modeling analysis. [12] The bridge addition induced healthy (laminar and helical) flow and graft functions by serving as the design signature of vascular casts (Figure 1a); and the bridge position was determined to exert these advantageous effects (Figure 1b). Compared to the cast without (w/o) bridges, this design supported the cast to suppress vein dilation more effectively in response to vigorous arterial flow and pressure, thereby reducing the flow disturbance (Figure 1c).…”

“…[ 11 ] As a result, the hyperelastic parameter values of the vascular properties were analyzed using the Mooney–Rivlin model as a reference and were entered into the computer modeling analysis. [ 12 ]…”

The influence of aortic stiffness on carotid stiffness: computational simulations using a human aorta carotid model

“…On the other hand, linear elasticity models offer compelling advantages in terms of simplicity and computational efficiency. And according to Kumar et al [47], the convergence between simulation and experimental results highlights its reliability.…”

Simple quantification of elastomers’ deformation-induced entropy changes through maxwell relation implementation

“…Moreover, the state of elastomers is highly unstable at low strain [17,18], and the effect of strain-softening tends to develop in high strain regimes [19,23]. Thus, applying a hyperelastic material model aids to remove noise coverage and experimental uncertainty in measurement, so the values of tension obtained through the calculation with models tend to be more accurate than the direct measurements at extreme strain regimes.…”

“…As Natural Rubber fibers satisfy the properties of the Mooney-Rivlin solid, such as incompressibility, isotropy, and hyperelastic [23][24][25][26], its tensile behavior may be fitted with the Mooney-Rivlin model, a phenomenological theory of elastomer elasticity assuming a mathematical form for the constitutive equations of elastomer as a function of the three invariants of deformation, unified in formula (8) and (9). Since the simulated Mooney-Rivlin model in this study doesn't contain a turning point, it can be expressed as the first power function of I 1 and I 2 .…”