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Motion of a spherical capsule in simple shear flow: influence of the bending resistance

Abstract : We simulate the motion of an initially spherical capsule in a simple shear flow in order to determine the influence of the bending resistance on wrinkle formation on the membrane. We use a numerical method coupling a nonlinear shell finite element method for the capsule wall mechanics with a boundary integral method to solve the Stokes equation. The capsule wall is discretized with MITC linear triangular shell finite elements. We find that, at low flow strength, buckling occurs in the central region of the capsule. The number of wrinkles on the membrane decreases with the bending stiffness and above a critical value, wrinkles no longer form. For thickness to radius ratios below 5%, the bending stiffness does not have any significant effect on the overall capsule motion and deformation. The mean capsule shape is identical whether the wall is modeled as a shell or a two-dimensional membrane, which shows that the dynamics of thin capsules is mainly governed by shear elasticity and membrane effects.
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Submitted on : Tuesday, December 3, 2013 - 9:47:29 AM
Last modification on : Tuesday, October 25, 2022 - 4:24:12 PM
Long-term archiving on: : Monday, March 3, 2014 - 10:26:07 PM


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  • HAL Id : hal-00913002, version 1


Claire Dupont, Anne-Virginie Salsac, Dominique Barthes-Biesel, Marina Vidrascu, Patrick Le Tallec. Motion of a spherical capsule in simple shear flow: influence of the bending resistance. CSMA 2013, May 2013, Giens, France. ⟨hal-00913002⟩



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