Deformation of a Capsule in a Spinning Drop Apparatus

Pieper, G.; Rehage, Heinz; Barthès-Biesel, Dominique

doi:10.1006/jcis.1998.5438

Cited by 69 publications

(95 citation statements)

References 11 publications

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“…The analysis of the deformation of an initially spherical capsule in a spinning drop device was recently performed and used to analyze experimental measurements conducted on spherical capsules [12]. However, it is also of interest to study the deformation of nonspherical capsules and to assess the effect of the initial geometry on the particle overall deformability.…”

Section: Deformation Of An Initially Ellipsoidal Capsule In a Spinninmentioning

confidence: 99%

“…In the case of an initially spherical capsule (β = 1, D 0 = 0), the integration of Eqs. (11a) and (11b) can be performed analytically and the deformation is given by [12]:…”

Section: Deformation Of An Initially Ellipsoidal Capsule In a Spinninmentioning

confidence: 99%

“…In addition, we can investigate the molecular structure using Brewster angle microscopy. In former investigations, we used such experiments in order to examine the two-dimensional sol-gel transition, the kinetics of surface gelation, relaxation effects and transient membrane properties [4][5][6][7][8][9][10]12]. In these experiments it was also possible to explore the regime of linear viscoelasticity and critical shear stress [10,13].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Deformation and bursting of nonspherical polysiloxane microcapsules in a spinning-drop apparatus

Husmann¹,

Rehage²,

Dhenin

et al. 2005

Journal of Colloid and Interface Science

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Section: Deformation Of An Initially Ellipsoidal Capsule In a Spinninmentioning

confidence: 99%

“…In the case of an initially spherical capsule (β = 1, D 0 = 0), the integration of Eqs. (11a) and (11b) can be performed analytically and the deformation is given by [12]:…”

Section: Deformation Of An Initially Ellipsoidal Capsule In a Spinninmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Deformation and bursting of nonspherical polysiloxane microcapsules in a spinning-drop apparatus

Husmann¹,

Rehage²,

Dhenin

et al. 2005

Journal of Colloid and Interface Science

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“…The upper limit, ν = 0.5, corresponds to an incompressible material. Although the Poisson ratio is positive for the vast majority of materials encountered in practice, zero or slightly negative values have been reported for wrinkled membranes [8]. Physically, smoothing of the wrinkles under uniaxial extension leads to expansion in the lateral direction associated with a negative Poisson ratio [9] (see also [10].)…”

Section: Theoretical Modelmentioning

confidence: 96%

Buckling of a flush-mounted plate in simple shear flow

Luo

Pozrikidis

2006

Arch Appl Mech

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The buckling of an elastic plate with arbitrary shape flush-mounted on a rigid wall and deforming under the action of a uniform tangential load due to an overpassing simple shear flow is considered. Working under the auspices of the theory of elastic instability of plates governed by the linear von Kármán equation, an eigenvalue problem is formulated for the buckled state resulting in a fourth-order partial differential equation with position-dependent coefficients parameterized by the Poisson ratio. The governing equation also describes the deformation of a plate clamped around the edges on a vertical wall and buckling under the action of its own weight. Solutions are computed analytically for a circular plate by applying a Fourier series expansion to derive an infinite system of coupled ordinary differential equations and then implementing orthogonal collocation, and numerically for elliptical and rectangular plates by using a finite-element method. The eigenvalues of the resulting generalized algebraic eigenvalue problem are bifurcation points in the solution space, physically representing critical thresholds of the uniform tangential load above which the plate buckles and wrinkles due to the partially compressive developing stresses. The associated eigenfunctions representing possible modes of deformation are illustrated, and the effect of the Poisson ratio and plate shape is discussed.

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“…The upper limit, m = 0.5, corresponds to an incompressible material. Although the Poisson ratio is positive for the vast majority of materials encountered in practice, zero or slightly negative values have been reported for wrinkled membranes (Pieper et al, 1988). Physically, smoothing of the wrinkles under uniaxial extension leads to expansion in the lateral direction associated with a negative Poisson ratio (Boal et al, 1993;Schmid-Schoenbein et al, 1995).…”

Section: Theoretical Modelmentioning

confidence: 97%

Buckling of a pre-compressed or pre-stretched membrane in shear flow

Luo¹,

Pozrikidis²

2007

International Journal of Solids and Structures

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Membranes enclosing capsules and biological cells undergo periodic compression and stretching due to an imparted hydrodynamic traction as they rotate in a shear flow. Compression may cause transient or permanent buckling manifested by the onset of wrinkled shapes. To study the effect of pre-compression and pre-stretching on the critical conditions for buckling, the response of an elastic circular plate flush mounted on a plane wall and deforming under the action of a uniform tangential load due to an over-passing simple shear flow is considered. Working under the auspices of the theory of elastic instability of plates governed by the linear von Kármán equation, an eigenvalue problem is formulated resulting in a fourth-order partial differential equation with position-dependent coefficients parametrized by the Poisson ratio. Solutions are computed by applying Fourier series expansions to derive an infinite system of coupled ordinary differential equations, and then implementing orthogonal collocation. The solution space is illustrated, critical values for buckling are identified, the associated eigenfunctions representing possible modes of deformation are displayed, and the effect of the Poisson ratio is discussed.

show abstract

Deformation of a Capsule in a Spinning Drop Apparatus

Cited by 69 publications

References 11 publications

Deformation and bursting of nonspherical polysiloxane microcapsules in a spinning-drop apparatus

Deformation and bursting of nonspherical polysiloxane microcapsules in a spinning-drop apparatus

Buckling of a flush-mounted plate in simple shear flow

Buckling of a pre-compressed or pre-stretched membrane in shear flow

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