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Elastic-plastic Rayleigh-Taylor instability at a cylindrical interface.

A R Piriz1, S A Piriz1, N A Tahir2

  • 1Instituto de Investigaciones Energéticas, ETSII, and CYTEMA, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain.

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Summary
This summary is machine-generated.

This study maps stability limits for the Rayleigh-Taylor instability between a fluid and an elastic-plastic solid. Larger perturbation modes and smaller radii generally allow for greater initial amplitudes before instability occurs.

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Area of Science:

  • Fluid dynamics
  • Solid mechanics
  • Instability analysis

Background:

  • Rayleigh-Taylor instability is crucial in various physical phenomena.
  • Understanding stability at fluid-solid interfaces is complex.
  • Previous studies often focused on simpler geometries or material models.

Purpose of the Study:

  • To determine the stability boundaries for Rayleigh-Taylor instability.
  • To investigate the instability at a cylindrical interface between an ideal fluid and an elastic-plastic solid.
  • To provide stability maps based on dimensionless parameters.

Main Methods:

  • Analysis of Rayleigh-Taylor instability at a cylindrical interface.
  • Derivation of stability criteria for fluid-solid systems.
  • Mapping stability limits using dimensionless initial amplitude, radius, and perturbation modes.

Main Results:

  • Stability maps were generated showing the maximum tolerable dimensionless initial amplitude (ξ_{th}^{*}).
  • Stability generally increases with larger spatial modes (m) and smaller dimensionless radii (B).
  • For m>1 and B→0, a transition to Drucker's criterion was observed, independent of interface geometry.

Conclusions:

  • The study provides critical insights into the stability of fluid-solid interfaces under dynamic conditions.
  • The findings are relevant for scenarios involving material interfaces, such as in astrophysics or engineering.
  • The derived stability maps offer a predictive tool for assessing interface behavior.