Cell membrane wrapping of a spherical thin elastic shell

Soft Matter ◽  
2015 ◽  
Vol 11 (6) ◽  
pp. 1107-1115 ◽  
Author(s):  
Xin Yi ◽  
Huajian Gao
Keyword(s):  
Cell Membrane ◽  
Detailed Analysis ◽  
Theoretical Study ◽  
Elastic Shell ◽  
Adhesion Energy ◽  
Membrane Tension ◽  
Thin Elastic Shell

A theoretical study on cell membrane wrapping of a spherical thin elastic shell indicates that stiff nanocapsules achieve full wrapping easier than soft ones. The detailed analysis demonstrates how the wrapping degree depends on the size and stiffness of the nanocapsules, adhesion energy and membrane tension.

Cell interaction with graphene microsheets: near-orthogonal cutting versus parallel attachment

Nanoscale ◽  
2015 ◽  
Vol 7 (12) ◽  
pp. 5457-5467 ◽  
Author(s):  
Xin Yi ◽  
Huajian Gao
Keyword(s):  
Cell Membrane ◽  
Theoretical Study ◽  
Driving Forces ◽  
Orthogonal Cutting ◽  
Cell Interaction ◽  
Membrane Tension ◽  
Modes Of Interaction

A theoretical study has been performed on two fundamental modes of interaction between cell membrane and graphene microsheets: near-perpendicular transmembrane penetration and parallel attachment. The analysis reveals how membrane tension, splay or bending energies contribute to the driving forces in these two interaction modes.

scholarly journals Acoustic Scattering by an Axisymmetric Thin Elastic Shell

1971 ◽  
Vol 50 (1A) ◽  
pp. 153-153
Author(s):  
S. Chang ◽  
B. S. Chambers ◽  
B. J. Maxum
Keyword(s):  
Elastic Shell ◽  
Acoustic Scattering ◽  
Thin Elastic Shell

A Solution for the Thin Elastic Shell With Surface Loads

1964 ◽  
Vol 31 (1) ◽  
pp. 91-96 ◽  
Author(s):  
C. R. Steele
Keyword(s):  
Temperature Distribution ◽  
Elastic Foundation ◽  
Wide Class ◽  
Elastic Shell ◽  
Asymptotic Series ◽  
Surface Load ◽  
Thin Elastic Shell ◽  
Curvature Coordinate ◽  
Particular Solution ◽  
Surface Loads

The problem considered is the thin elastic shell described by the equations of Novozhilov with an arbitrary but smooth midsurface that has a surface load and/or temperature distribution which varies rapidly with respect to one curvature coordinate. The particular solution is obtained in the form of an asymptotic series in powers of a parameter which is a measure of the rapidity of variation in the distribution. The wide class of problems, for which only the first term of the asymptotic series need be retained, is analogous to the beam on an elastic foundation. However, the advantage of the complex representation of Novozhilov is demonstrated by an example in which the shell is loaded and heated on strips with several conditions of constraint.

Modelling the transient interaction of a thin elastic shell with an exterior acoustic field

2008 ◽  
Vol 75 (3) ◽  
pp. 275-290 ◽  
Author(s):  
David J. Chappell ◽  
Paul J. Harris ◽  
David Henwood ◽  
Roma Chakrabarti
Keyword(s):  
Acoustic Field ◽  
Elastic Shell ◽  
Thin Elastic Shell ◽  
Transient Interaction

scholarly journals Regimes of wrinkling in pressurized elastic shells

2017 ◽  
Vol 375 (2093) ◽  
pp. 20160330 ◽  
Author(s):  
Matteo Taffetani ◽  
Dominic Vella
Keyword(s):  
Finite Element ◽  
Stability Analysis ◽  
Detailed Analysis ◽  
Indentation Depth ◽  
Elastic Shell ◽  
Analytical Techniques ◽  
Finite Element Simulations ◽  
Media Theory ◽  
Threshold Analysis ◽  
Elastic Shells

We consider the point indentation of a pressurized elastic shell. It has previously been shown that such a shell is subject to a wrinkling instability as the indentation depth is quasi-statically increased. Here we present detailed analysis of this wrinkling instability using a combination of analytical techniques and finite-element simulations. In particular, we study how the number of wrinkles observed at the onset of instability grows with increasing pressurization. We also study how, for fixed pressurization, the number of wrinkles changes both spatially and with increasing indentation depth beyond onset. This ‘Far from threshold’ analysis exploits the largeness of the wrinkle wavenumber that is observed at high pressurization and leads to quantitative differences with the standard ‘Near threshold’ stability analysis. This article is part of the themed issue ‘Patterning through instabilities in complex media: theory and applications.’

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