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FIG. 1. (Color) (a) Scaled critical pressures (symbols) of the icosadeltahedral shells with epsilon = 1 and T = 441 (+), epsilon = 10 and T =441 (X), epsilon=5 and T=100 (squares), epsilon=5 and T=49 (circles), and epslon=4 and T=73 (triangles) as a function of the FvK number gamma. In these calculations, u=0.005a, epsilon was kept fixed, and kappa was varied so as to produce a variation in gamma. Thick dashed lines show scalings with gamma as discussed in the text. The insets show the buckled shell shapes for different FvK numbers as denoted. (b) The energetics of nonpressurized shells as a function of gamma. The regimes in which the shell can be represented as a sphere, an assembly of cones or ridges is indicated. Analytical expressions for the shell energetics are indicated by solid (sphere), dashed (cones), and dotted (ridges) lines [5]. Lines connecting neighboring disclinations in the nonpressurized state are indicated as dashed lines in the insets.
FROM:
Antonio Šiber and Rudolf Podgornik
“Stability of elastic icosadeltahedral shells under uniform external pressure:
Application to viruses under osmotic pressure”, Physical Review E 79, 011919 (2009)
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