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Dynamics of developable cones under shear.

Eugenio Hamm1, Benoît Roman, Francisco Melo

  • 1Departamento de Física de la Universidad de Santiago de Chile, Avenida Ecuador 3493, Casilla 307 Correo 2, Santiago, Chile. lhamm@usach.cl

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2004
PubMed
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Researchers discovered a stable post-buckling structure in thin cylindrical shells under torsion. This "d cone" formation

Area of Science:

  • Solid mechanics
  • Materials science
  • Structural engineering

Background:

  • Thin cylindrical shells are prone to complex deformations under load.
  • Post-buckling behavior is critical for understanding structural integrity.
  • Axial torsion introduces unique stress patterns.

Purpose of the Study:

  • To identify and characterize a persistent post-buckling structure in thin cylindrical shells.
  • To investigate the formation mechanism of this structure under axial torsion.
  • To model the energy balance governing the structure's equilibrium.

Main Methods:

  • Applying a concentrated load to induce shell deformation.
  • Imposing an axial torsion angle to study structural response.
  • Analyzing the interplay of bending and stretching energies.

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Main Results:

  • A stable structure of two developable cones joined by an S-shaped ridge was identified.
  • The structure's size is comparable to the shell's radius.
  • Decreasing shell thickness amplifies displacement, indicating a balance of energies.

Conclusions:

  • The observed structure represents an equilibrium state of interacting cones under shear.
  • Shell thickness significantly influences the post-buckling deformation amplitude.
  • A model balancing driving shear effects and stabilizing bending energy was proposed.