Volume 24, Issue 1
Shape Memory of Elastic Capsules Under the Effect of Spontaneous Shape

Zhe Gou, Feng Huang, Xiaodong Ruan & Xin Fu

Commun. Comput. Phys., 24 (2018), pp. 234-252.

Published online: 2018-03

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  • Abstract

Red blood cells can recover their resting shape after having been deformed by shear flow. Their rims are always formed by the same part of the membranes, and the cells are said to have shape memory. Modeled as two-dimensional elastic capsules, their recovery motion and shape memory is studied, mainly focused on the effect of the spontaneous shape. The fluid-structure interaction is modeled using immersed boundary method. Based on the simulations, the resting shapes of capsules are obtained and the area ratio of spontaneous shape is found to play an important role. After remove of shear flow, all capsules can recover their resting shapes, while only capsules with noncircular spontaneous shapes present shape memory. As the spontaneous shape approaches a circle but still noncircular, the capsule spends more time on recovery process. We consider how these capsules deform depending on the membrane bending energy, and find that the relaxation speed is positive correlated to the range of values of dimensionless bending energy. These results may help to identify different spontaneous shapes for capsules especially RBCs through future experiments.

  • Keywords

Fluid-structure interaction, immersed boundary method, shape memory, spontaneous shape.

  • AMS Subject Headings

74F10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-24-234, author = {}, title = {Shape Memory of Elastic Capsules Under the Effect of Spontaneous Shape}, journal = {Communications in Computational Physics}, year = {2018}, volume = {24}, number = {1}, pages = {234--252}, abstract = {

Red blood cells can recover their resting shape after having been deformed by shear flow. Their rims are always formed by the same part of the membranes, and the cells are said to have shape memory. Modeled as two-dimensional elastic capsules, their recovery motion and shape memory is studied, mainly focused on the effect of the spontaneous shape. The fluid-structure interaction is modeled using immersed boundary method. Based on the simulations, the resting shapes of capsules are obtained and the area ratio of spontaneous shape is found to play an important role. After remove of shear flow, all capsules can recover their resting shapes, while only capsules with noncircular spontaneous shapes present shape memory. As the spontaneous shape approaches a circle but still noncircular, the capsule spends more time on recovery process. We consider how these capsules deform depending on the membrane bending energy, and find that the relaxation speed is positive correlated to the range of values of dimensionless bending energy. These results may help to identify different spontaneous shapes for capsules especially RBCs through future experiments.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0075}, url = {http://global-sci.org/intro/article_detail/cicp/10935.html} }
TY - JOUR T1 - Shape Memory of Elastic Capsules Under the Effect of Spontaneous Shape JO - Communications in Computational Physics VL - 1 SP - 234 EP - 252 PY - 2018 DA - 2018/03 SN - 24 DO - http://doi.org/10.4208/cicp.OA-2017-0075 UR - https://global-sci.org/intro/article_detail/cicp/10935.html KW - Fluid-structure interaction, immersed boundary method, shape memory, spontaneous shape. AB -

Red blood cells can recover their resting shape after having been deformed by shear flow. Their rims are always formed by the same part of the membranes, and the cells are said to have shape memory. Modeled as two-dimensional elastic capsules, their recovery motion and shape memory is studied, mainly focused on the effect of the spontaneous shape. The fluid-structure interaction is modeled using immersed boundary method. Based on the simulations, the resting shapes of capsules are obtained and the area ratio of spontaneous shape is found to play an important role. After remove of shear flow, all capsules can recover their resting shapes, while only capsules with noncircular spontaneous shapes present shape memory. As the spontaneous shape approaches a circle but still noncircular, the capsule spends more time on recovery process. We consider how these capsules deform depending on the membrane bending energy, and find that the relaxation speed is positive correlated to the range of values of dimensionless bending energy. These results may help to identify different spontaneous shapes for capsules especially RBCs through future experiments.

Zhe Gou, Feng Huang, Xiaodong Ruan & Xin Fu. (2020). Shape Memory of Elastic Capsules Under the Effect of Spontaneous Shape. Communications in Computational Physics. 24 (1). 234-252. doi:10.4208/cicp.OA-2017-0075
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