2006
DOI: 10.1103/physrevlett.97.228101
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Failure of Viral Shells

Abstract: We report a combined theoretical and experimental study of the structural failure of viral shells under mechanical stress. We find that discontinuities in the force-indentation curve associated with failure should appear when the so-called Föppl-von Kármán (FvK) number exceeds a critical value. A nanoindentation study of a viral shell subject to a soft-mode instability, where the stiffness of the shell decreases with increasing pH, confirms the predicted onset of failure as a function of the FvK number.

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Cited by 143 publications
(133 citation statements)
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“…It is tempting to assign the force at which the crack is created (yield force) to the elastic limit of the indentation curve (that is, the force value at the first sharp decay after linear indentation). However, the sharp decays of the force can be related to reversible deformations, buckling, slip and rotation of the particle 25,26 . Thus, particles were routinely imaged after the indentation experiment and only those showing evident cracking are considered for statistics.…”
Section: Resultsmentioning
confidence: 99%
“…It is tempting to assign the force at which the crack is created (yield force) to the elastic limit of the indentation curve (that is, the force value at the first sharp decay after linear indentation). However, the sharp decays of the force can be related to reversible deformations, buckling, slip and rotation of the particle 25,26 . Thus, particles were routinely imaged after the indentation experiment and only those showing evident cracking are considered for statistics.…”
Section: Resultsmentioning
confidence: 99%
“…1B). Inversioninduced softening of capsids has been observed experimentally and numerically (18,27).…”
Section: [1]mentioning
confidence: 98%
“…Initially, these theories were applied to the mechanics of thin macroscopic structures, where the relevant elastic constants (a Young's modulus and a bending rigidity) are related to the bulk material properties and the plate or shell thickness. However, these theories have also been successfully applied to describe mechanical properties of microscopic structures, such as viral capsids [8][9][10][11], bacterial cell walls [12][13][14][15], membranes of red blood cells [16][17][18], and hollow polymer and polyelectrolyte capsules [19][20][21][22][23]. Note that in these more microscopic examples, the effective elastic constants are not related to bulk mechanical properties but instead depend on details of microscopic molecular interactions.…”
Section: Introductionmentioning
confidence: 99%