Investigation of Hydrodynamically Dominated Membrane Rupture, Using Smoothed Particle Hydrodynamics–Finite Element Method

Asadi, Hossein; Taeibi-Rahni, M.; Akbarzadeh, Amir; Javadi, Khodayar; Ahmadi, Goodarz

doi:10.3390/fluids4030149

Cited by 5 publications

(4 citation statements)

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“…Molaro et al () carried out fully three‐dimensional finite element calculations of macroscopic thermal stress development in various sized rocks on the Moon ( δ ∼0.8 m), and reported values of the maximum surface principal stresses of ∼2 MPa, ∼5 MPa, and ∼9 MPa for D =0.3 m, D =0.5 m, and D =0.7 m. Remarkably, these stress values are fairly consistent with predictions (respectively ∼1.5 MPa, ∼4 MPa, and ∼8 MPa for the same set of material properties) of Equation despite its simplicity and lack of fitting parameters. These stress values are generally smaller than fracture toughness of typical rocks (Asadi, Taeibi‐Rahni, Akbarzadeh, Javadi, & Ahmadi, ; El Mir, Ramesh, & Delbo, ; Eppes & Keanini, ; Gui, Bui, Kodikara, Zhang, & Zhao, ) and would lead to slow steady fatigue process.…”

Section: Effect Of Diurnal Temperature Variations and Gradients On Thmentioning

confidence: 97%

Unraveling the Mechanics of Thermal Stress Weathering: Rate‐Effects, Size‐Effects, and Scaling Laws

et al. 2019

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Thermal stress weathering is now recognized to be an active and significant geomorphological process on airless bodies. This study aims to understand the key factors governing thermal stresses in rocks on airless bodies through extensive numerical calculations and analytic analyses. Microscopic (grain‐scale) thermal stresses are driven primarily by the maximum diurnal temperature variation at said depth. Macroscopic (rock‐scale) thermal stresses are more complex. For rock sizes larger than the thermal skin depth, macroscopic thermal stresses are driven primarily by second (and higher) order spatial gradients of temperature. For rock sizes smaller than the thermal skin depth, macroscopic thermal stresses are primarily driven by the ratio of rock size to thermal skin depth. Additionally, scaling relations for diurnal surface temperature variation, time‐rate‐of‐change of surface temperature, as well as peak microscopic (grain‐scale) and macroscopic (rock‐scale) thermal stresses are derived to provide a more accessible modeling tool. These scaling relations are remarkably accurate when compared to both the numerical calculations as well as three‐dimensional finite element calculations. The model formulation, results, and scaling relations provided here allow the estimation of diurnal temperatures and thermal stresses on rocks of various size and materials on airless bodies at any orbital distance with a broad spectrum of spin rates. Lastly, we postulate and confirm that there is a critical spin rate where macroscopic thermal stresses will be greatest.

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Section: Effect Of Diurnal Temperature Variations and Gradients On Thmentioning

confidence: 97%

Unraveling the Mechanics of Thermal Stress Weathering: Rate‐Effects, Size‐Effects, and Scaling Laws

et al. 2019

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“…The Lagrangian nature of SPH mesh-free method was reported to be very accurate to determine the level of blood damage induced by BMHVs. Recently, Asadi et al 144 efficaciously used SPH with the FEM for modeling the fluid and solid phases to study the rupturing of a membrane between two fluids in a channel. This method has not been extended to heart valve simulations.…”

Section: Numerical Fsi Methodsmentioning

confidence: 99%

“…The mesh-free methods are being successfully applied for various FSI problems, 144,148-150 however, they have been so far limitedly applied to heart valve simulations. A wider implementation of these methods for heart valve simulations is required for researchers to realize their actual potential.…”

Section: Numerical Fsi Methodsmentioning

confidence: 99%

State-of-the-art numerical fluid–structure interaction methods for aortic and mitral heart valves simulations: A review

2021

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Numerical fluid–structure interaction (FSI) methods have been widely used to predict the cardiac mechanics and associated hemodynamics of native and artificial heart valves (AHVs). Offering a high degree of spatial and temporal resolution, these methods circumvent the need for cardiac surgery to assess the performance of heart valves. Assessment of these FSI methods in terms of accuracy, realistic modeling, and numerical stability is required, which is the objective of this paper. FSI methods could be classified based on how the computational domain is discretized, and on the coupling techniques employed between fluid and structure domains. The grid-based FSI methods could be further classified based on the kinematical description of the computational fluid (blood) grid, being either fixed grid, moving grid, or combined fixed–moving grid methods. The review reveals that fixed grid methods mostly cause imprecise calculations of flow parameters near the blood–leaflet interface. Moving grid methods are more accurate, however they require cumbersome remeshing and smoothing. The combined fixed–moving grid methods overcome the shortcomings of fixed and moving grid methods, but they are computationally expensive. The mesh-free methods have been able to encounter the problems faced by grid-based methods; however, they have been only limitedly applied to heart valve simulations. Among the coupling techniques, explicit partitioned coupling is mostly unstable, however the implicit partitioned coupling not only has the potential to be stable but is also comparatively cheaper. This in-depth review is expected to be helpful for the readers to evaluate the pros and cons of FSI methods for heart valve simulations.

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“…Asadi, et al [25] numerically study the rupture of a membrane located between two fluids. They use the smoothed particle hydrodynamics (SPH) and the finite element method (FEM) to solve the problem and consider a range of pressure difference and membrane thicknesses.…”

mentioning

confidence: 99%

Recent Advances in Mechanics of Non-Newtonian Fluids

Massoudi

2020

Fluids

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Investigation of Hydrodynamically Dominated Membrane Rupture, Using Smoothed Particle Hydrodynamics–Finite Element Method

Cited by 5 publications

References 50 publications

Unraveling the Mechanics of Thermal Stress Weathering: Rate‐Effects, Size‐Effects, and Scaling Laws

Unraveling the Mechanics of Thermal Stress Weathering: Rate‐Effects, Size‐Effects, and Scaling Laws

State-of-the-art numerical fluid–structure interaction methods for aortic and mitral heart valves simulations: A review

Recent Advances in Mechanics of Non-Newtonian Fluids

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