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Stability Landscape of Shell Buckling.

Emmanuel Virot1,2, Tobias Kreilos1, Tobias M Schneider1

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Summary
This summary is machine-generated.

We mapped the stability of cylindrical shells when poked, revealing a simple landscape that describes both perfect and imperfect shells. This stability map is independent of how the shell is poked, simplifying complex shell behavior.

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Area of Science:

  • Mechanics of Materials
  • Structural Engineering
  • Applied Physics

Background:

  • Cylindrical shells exhibit complex stability behaviors under external loads.
  • Understanding shell stability is crucial for designing safe and efficient structures.

Purpose of the Study:

  • To characterize the stability landscape of cylindrical shells under localized loading.
  • To determine if shell stability can be described by a simplified, low-dimensional model.
  • To investigate the influence of defects and loading conditions on shell stability.

Main Methods:

  • Experimental measurement of cylindrical shell response to localized poking.
  • Identification and analysis of the shell stability landscape.
  • Varying shell imperfections and poker geometries to assess landscape independence.

Main Results:

  • A comprehensive stability landscape was identified for perfect and single-defect cylindrical shells.
  • The stability landscape was found to be independent of the loading protocol and poker geometry.
  • Complex shell stability behavior was reduced to a low-dimensional description.

Conclusions:

  • The stability of cylindrical shells, even with defects, can be effectively characterized by a low-dimensional landscape.
  • Tracking features of this landscape provides natural phase-space coordinates for shell stability.
  • This work simplifies the understanding and prediction of shell structural integrity.