A novel continuum model for the reduction of numerical errors of finite-element analysis

Mohammadi, Hadi; Bahramian, Fereshteh

doi:10.1243/09544062jmes2319

Cited by 6 publications

(3 citation statements)

References 13 publications

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“…The closed form of the equilibrium equation and the equation of compatibility disregarding body force is written as such 12,13 Here, s xx , s yy , and t xy are the stress values obtained from the coarse mesh FE models applied to an arbitrary body shape. Let's define the elevated valves as ŝ xx , ŝ yy , and t xy which are comparable with results obtained from fine mesh FE models.…”

Section: Methodsmentioning

confidence: 99%

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Improving finite element results in modeling heart valve mechanics

Earl

Mohammadi

2018

Proc Inst Mech Eng H

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Finite element analysis is a well-established computational tool which can be used for the analysis of soft tissue mechanics. Due to the structural complexity of the leaflet tissue of the heart valve, the currently available finite element models do not adequately represent the leaflet tissue. A method of addressing this issue is to implement computationally expensive finite element models, characterized by precise constitutive models including high-order and high-density mesh techniques. In this study, we introduce a novel numerical technique that enhances the results obtained from coarse mesh finite element models to provide accuracy comparable to that of fine mesh finite element models while maintaining a relatively low computational cost. Introduced in this study is a method by which the computational expense required to solve linear and nonlinear constitutive models, commonly used in heart valve mechanics simulations, is reduced while continuing to account for large and infinitesimal deformations. This continuum model is developed based on the least square algorithm procedure coupled with the finite difference method adhering to the assumption that the components of the strain tensor are available at all nodes of the finite element mesh model. The suggested numerical technique is easy to implement, practically efficient, and requires less computational time compared to currently available commercial finite element packages such as ANSYS and/or ABAQUS.

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Section: Methodsmentioning

confidence: 99%

“…The closed form of the equilibrium equation and the equation of compatibility disregarding body force is written as such 12,13…”

Section: Methodsmentioning

confidence: 99%

Improving finite element results in modeling heart valve mechanics

Earl

Mohammadi

2018

Proc Inst Mech Eng H

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“…It is unclear whether predictive biomodelling using 3D CT through finite element analysis (FEA) may give a contribute to the identification of patients who should undergo to double transcatheter valve therapy (10,11,17,(88)(89)(90)(91)(92). Some investigators found evidences that a wrinkle process can induced tear in the mitral valve leaflet tissue leading for a progression of diseased MV in presence of degenerative MV disease (93,94) or the EROA may not change after successful TAVR (95).…”

Section: Areas Of Uncertaintymentioning

confidence: 99%

Mitral regurgitation after transcatheter aortic valve replacement

Nappi¹,

Nenna²,

Timofeeva³

et al. 2020

J Thorac Dis

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Patients undergoing transcatheter aortic valve replacement (TAVR) might have an associated significant MR that can potentially lead to left ventricular (LV) failure after procedure. Considering the specific alterations in the mitral valve in TAVR scenario and the widespread use of TAVR in recent years, it appears important to know and understand the anatomical, functional and clinical implications to develop adequate strategies for the future. Patients with severe mitral regurgitation (MR) have been generally excluded from randomized clinical trials, making poor the impact that associated MR can have on clinical outcomes after TAVR. Several factors must be considered whose presence influences the severity of MR.For example, the elevated prevalence of coronary disease with consequent ischemic MR may account for LV dilation observed at the end stage of aortic stenosis. Evidence randomized studies and registries suggests that the rate of concomitant moderate-to-severe MR in patients undergoing TAVR oscillates between 2% and 33%, and patients with moderate to severe MR may have hemodynamic frailty with clinical deterioration during mechanical intervention. Short-and long-term outcomes, including cardiac mortality, appear to be influenced by the existence of preoperative moderate-to-severe MR or by the postprocedural worsening of mild MR, generally due to adverse LV remodeling. The incidence and the prognostic effect of concomitant MR in patients undergoing TAVR requires specific attention as might trigger adjunctive strategy treatment which should be carefully evaluated in clinical trials.

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