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Gwennou Coupier1, Adel Djellouli2, Catherine Quilliet2

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This study reveals that elastic shells, even thick ones, consistently follow thin shell predictions during deflation and buckling. This finding holds true up to a thickness of 0.3 times the shell

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Area of Science:

  • Solid mechanics
  • Material science
  • Structural stability

Background:

  • Understanding shell behavior under pressure is crucial for engineering applications.
  • Deflation-induced buckling in elastic shells is a complex phenomenon.
  • Existing models often assume thin shells, limiting applicability to thicker structures.

Purpose of the Study:

  • To investigate the relationship between pre-buckling and post-buckling states in elastic shells during deflation.
  • To determine how shell properties, particularly thickness, influence buckling behavior.
  • To assess the validity of thin shell assumptions for thicker elastic shells.

Main Methods:

  • Developed an original, low-cost experimental setup for simultaneous volume and pressure measurement.
  • Deflated elastic shells with a wide range of relative thicknesses until buckling occurred.
  • Characterized post-buckling states and relaxation dynamics using pressure-volume diagrams.

Main Results:

  • Elastic shells exhibited behavior consistent with thin shell predictions both before and after buckling.
  • This consistency was observed even for shells with a thickness up to 0.3 times the shell's midsurface radius.
  • The study characterized the post-buckling state and the relaxation process towards it.

Conclusions:

  • Thin shell theory provides a robust framework for predicting the behavior of elastic shells during deflation, even for relatively thick shells.
  • The experimental setup enables detailed analysis of shell buckling and post-buckling dynamics.
  • Findings have implications for the design and analysis of structures involving thin and moderately thick elastic shells.