Effect of constitutive laws for two-dimensional 
membranes on flow-induced capsule deformation

Barthès-Biesel, Dominique; Diaz, A.; Dhenin, Emmanuelle

doi:10.1017/s0022112002008352

Cited by 253 publications

(241 citation statements)

References 14 publications

(26 reference statements)

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“…17, 18 for RBCs; see also Ref. 19 for a comparison between several constitutive models. We also employ a linear isotropic model for the bending moment, [20] with a bending modulus G b = C b a 2 c G s , where a c is the radius of the capsule and C b = 0.01 is held constant in our simulations.…”

Section: Modelsmentioning

confidence: 99%

A microfluidic device to sort capsules by deformability: a numerical study

et al. 2014

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Guided by extensive numerical simulations, we propose a microfluidic device that can sort elastic capsules by their deformability. The device consists of a duct embedded with a semi-cylindrical obstacle, and a diffuser which further enhances the sorting capability. We demonstrate that the device can operate reasonably well under changes in the initial position of the the capsule. The efficiency of the device remains essentially unaltered under small changes of the obstacle shape (from semi-circular to semi-elliptic cross-section). Confinement along the direction perpendicular to the plane of the device increases its efficiency. This work is the first numerical study of cell sorting by a realistic microfluidic device.

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Section: Modelsmentioning

confidence: 99%

A microfluidic device to sort capsules by deformability: a numerical study

et al. 2014

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“…Meanwhile, the network deformation is compared to deformation predicted using continuummembrane models, i.e. membrane models created using Hooke's Law (Hooke's), Mooney-Rivlin (MR) material [25] and Skalak (SK) Law [1]. First, a planar membrane is discretised to obtain a mesh representing a spring network with the lines considered the spring elements and the nodes the hinges.…”

Section: Spring-network Deformation and Elasticitymentioning

confidence: 99%

“…In this work, membrane fluidity (viscosity) is ignored as we are interested only in the equilibrium state of deformation. Also, the continuum constitutive laws for the continuum membrane models are not discussed in detail here; a detailed description can be found in Barthès-Biesel et al [25].…”

Section: Introductionmentioning

confidence: 99%

Investigation of membrane mechanics using spring networks: Application to red-blood-cell modelling

Chen¹,

Boyle²

2014

Materials Science and Engineering: C

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a b s t r a c t a r t i c l e i n f oIn recent years a number of red-blood-cell (RBC) models have been proposed using spring networks to represent the RBC membrane. Some results predicted by these models agree well with experimental measurements. However, the suitability of these membrane models has been questioned. The RBC membrane, like a continuum membrane, is mechanically isotropic throughout its surface, but the mechanical properties of a spring network vary on the network surface and change with deformation. In this work spring-network mechanics are investigated in large deformation for the first time via an assessment of the effect of network parameters, i.e. network mesh, spring type and surface constraint. It is found that a spring network is conditionally equivalent to a continuum membrane. In addition, spring networks are employed for RBC modelling to replicate the optical tweezers test. It is found that a spring network is sufficient for modelling the RBC membrane but strain-hardening springs are required. Moreover, the deformation profile of a spring network is presented for the first time via the degree of shear. It is found that spring-network deformation approaches continuous as the mesh density increases.

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“…Different parameters can influence the deformation and orientation dynamics of microcapsules, e.g. capsule shape [1], bending stiffness [2,3,4,5], viscosity ratio of the inner and outer phase [6], membrane constitutive laws [7] and membrane pre-stress [8]. The surrounding membranes sometimes showed shear induced wrinkling instabilities [9].…”

Section: Introductionmentioning

confidence: 99%

Wrinkling, tumbling and swinging microcapsules in simple shear flow

Unverfehrt

Koleva

Rehage

2014

AIP Conference Proceedings

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Abstract-In a series of experiments we examined the orientation behavior of non-spherical polysiloxane microcapsules in simple shear flow. At low shear rates we detected a "tumbling mode", which described the continuous rotation of the particles. In this regime, the orientation angle varied between -90° und +90°. With increasing shear rate a transition to "tank-treading" took place where the membrane rotated around the fluid core. Simultaneously to this membrane movement the deformation and orientation angle of the capsule oscillated, and this regime was denoted as "swinging mode". Between these two different deformation processes we detected an intermittent regime. For a couple of microcapsules we also observed shear-induced membrane wrinkling. Such folding phenomena can obviously be induced by the bending resistance of the surrounding shells or the presence of pre-stressed membranes.

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Effect of constitutive laws for two-dimensional membranes on flow-induced capsule deformation

Cited by 253 publications

References 14 publications

A microfluidic device to sort capsules by deformability: a numerical study

A microfluidic device to sort capsules by deformability: a numerical study

Investigation of membrane mechanics using spring networks: Application to red-blood-cell modelling

Wrinkling, tumbling and swinging microcapsules in simple shear flow

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