Journal
PHYSICAL REVIEW E
Volume 79, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.79.011919
Keywords
biomechanics; buckling; cellular biophysics; elasticity; mechanical stability; microorganisms; molecular biophysics; osmosis; shells (structures)
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Funding
- Ministry of Science, Education and Sports of the Republic of Croatia through Research [035-0352828-2837]
- Agency for Research and Development of Slovenia [P1-0055, Z1-7171, L2-7080]
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We discuss the stability of icosadeltahedral shells subjected to a uniform external load in the form of an isotropic pressure. We demonstrate that there exists a universal critical buckling pressure scaling form that defines a locus of buckling instabilities. The parameter that uniquely determines this scaling form is shown to be the Foppl-von Karman number of nonpressurized shells. Numerical results are interpreted in terms of scaling forms for buckling instabilities of spheres and cylinders under isotropic mechanical pressure, and are applied to the case of viruses under osmotic pressure.
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