Rolling resistance of a rigid sphere with viscoelastic coatings

Zéhil, Gérard-Philippe; Gavin, Henri P.

doi:10.1016/j.ijsolstr.2013.11.009

Cited by 12 publications

(8 citation statements)

References 56 publications

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“…Previous studies have simulated the cells using many models, such as rigid spheres, 2 elastomers, 10,11 elastic capsules filled with viscous liquid, 9,13 or latterly viscous droplets. 1,16 In this paper, the cell is modeled as a viscous droplet.…”

Section: The Cell Modelmentioning

confidence: 99%

“…According to the theory of kinetics, the cell translational velocity can be obtained by the velocity at the cell's geometrical center (in short, the cell center). The coordinates of the cell center (x c , y c ) can be calculated by Equations (10) and (11),…”

Section: Adhesion Modelmentioning

confidence: 99%

“…6 Confirmed by experiments, cellular features such as cell deformability and morphology affect the rolling behavior of cells. [7][8][9] Thus, several deformable cell models have been proposed, including the linear elastomer model, 10,11 a rigid sphere with viscoelastic coatings model, 12 incompressible fluid enclosed by an elastic ring. 9,13 In vivo experiments showed that the partially adherent leukocyte deforms to a "teardrop" shape and then rolls along the endothelium with similar morphology, 14 and micropipette aspiration experiments showed that the leukocyte also behaves as a liquid drop.…”

Section: Introductionmentioning

confidence: 99%

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A general numerical model of leukocyte adhesion in microchannels

2022

Numer Methods Biomed Eng

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Leukocyte adhesion on the vascular endothelium plays an important role in human immune system and reflects the physiological condition of a human body. In this paper, a generally implementable dynamic adhesion model based on the length limit of microvilli was developed to explore the behavior of a suspended leukocyte's adhesion process under microchannel shear flow. Simulations showed that the whole adhesion process can be divided into cell sedimentation, preliminary adhesion and stable dynamic adhesion stages. The cell tumbling kinetics, cell deformation, cell adhesion area and adhesion force were studied under the conditions of various bond strength, cell membrane surface tension, inlet flow velocity and cytoplasmic viscosity. Results showed that the bond strength affects the cell tumbling behaviors differently by changing the adhesion force. The cell with lower membrane surface tension induces a larger adhesion area, and eventually results in a greater adhesion and a lower cell tumbling velocity. The flow velocity changes cell velocity through the flow viscous force during the whole adhesion process. The cytoplasmic viscosity affects adhesion mainly in the preliminary adhesion stage by changing the cell deformation rate but has slight effect on the stabilized dynamic adhesion on cells. This study provides a simple theoretical basis to further clarify the mechanism of cell behaviors under stress and adhesion and becomes one of the prerequisites for study of tissue inflammation, wound healing, and disease treatments.

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Section: The Cell Modelmentioning

confidence: 99%

Section: Adhesion Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A general numerical model of leukocyte adhesion in microchannels

2022

Numer Methods Biomed Eng

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“…Employing static finite elements [6] is an alternative. One method [ 7 , 8 ] is to use an ADIS 16385 measuring device. This software is utilised for ascertaining the kinematic traits of vehicle motion.…”

Section: Introductionmentioning

confidence: 99%

Dataset on the power dissipated by rolling resistance of a prototype photovoltaic electric vehicle while varying the mass

Sokhna,

Ait Ali,

Faye

et al. 2024

Data in Brief

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“…Rolling contact problems of viscoelastic solids are addressed quite extensively in the literature from both experimental and modeling perspectives and at different scales. [1][2][3][4][5][6][7][8][9][10] Numerical methods suggest itself for solution of these problems with more complicated boundaries.…”

Section: Introductionmentioning

confidence: 99%

Analysis of steady-state frictional rolling contact problems in Schapery–nonlinear viscoelasticity

Abdelrahman

El-Shafei

Mahmoud

2018

Proceedings of the Institution of Mechanical Engineers, Part J:

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In the context of an updated Lagrangian formulation, a computational model is developed for analyzing the steady-state frictional rolling contact problems in nonlinear viscoelastic solids. Schapery's nonlinear viscoelastic model is adopted to simulate the viscoelastic behavior. In addition to the material nonlinearity, the model accounts for geometrical nonlinearities, large displacements, and rotations with small strains. To satisfy the steady-state rolling contact condition, a spatially dependent incremental form of the viscoelastic constitutive equations is derived. Consequently, the dependence on the past history of the strain rate in the stress–strain law is expressed in terms of the spatial variation of the strain. The contact conditions are exactly satisfied by employing the Lagrange multiplier approach to enforce the contact constraints. The classical Coulomb's friction law is used to simulate friction. The developed model is verified and compared and good agreement is obtained. The applicability of the developed model is demonstrated by analyzing the steady-state rolling contact response of viscoelastically walled-wheel over rigid foundation. Moreover, the obtained results show remarkable effects of the rotational velocity and the viscoelastic material parameters on the mechanical response of steady-state frictional rolling contact.

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Rolling resistance of a rigid sphere with viscoelastic coatings

Cited by 12 publications

References 56 publications

A general numerical model of leukocyte adhesion in microchannels

A general numerical model of leukocyte adhesion in microchannels

Dataset on the power dissipated by rolling resistance of a prototype photovoltaic electric vehicle while varying the mass

Analysis of steady-state frictional rolling contact problems in Schapery–nonlinear viscoelasticity

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