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Flutter Instability and Ill-Posedness in Solids and Fluid-Saturated Porous Media

  • B. Loret
  • F. M. F. Simões
  • J. A. C. Martins
Conference paper
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 414)

Abstract

For elastoplasticity with locally smooth yield surface and plastic potential, the nature, real or complex, of the squares of the acceleration wave-speeds is analyzed. Emphasis is laid on the effect that some features of the constitutive equations have on that nature. Specifically, our reference problem contemplates an infinite elastic-plastic body endowed with elastic isotropy and deviatoric associativity. In a second step, individual or simultaneous deviations with respect to these reference properties are analyzed. The performed linearized analyses are essentially intended to detect, in the course of a loading process, the onset of wave-speeds whose squares are complex, a phenomenon called flutter. Finite element simulations show how perturbations evolve in such a situation, and, as expected, the plastic loading condition plays a crucial role.

The problem is reconsidered in the context of fluid-saturated porous media whose solid skeleton is elastic-plastic. Unlike for single phase solids, flutter is not excluded in the reference situation where elasticity is isotropic and deviatoric plasticity holds. The propagation of waves of different lengths leads to make a distinction between the two phenomena of flutter instability and flutter ill-posedness. The introdution of a characteristic length in the elastic-plastic behaviour of the solid skeleton may imply the existence of an infimum wavelength below which instability modes do not exist, and well-posedness of the dynamic problem is recovered.

Keywords

Flow Rule Solid Skeleton Decay Coefficient Acceleration Wave Associative Flow Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 2000

Authors and Affiliations

  • B. Loret
    • 1
  • F. M. F. Simões
    • 2
  • J. A. C. Martins
    • 2
  1. 1.Laboratoire Sols, Solides, StructuresGrenobleFrance
  2. 2.Instituto Superior TécnicoLisbonPortogallo

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