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Elements of Elastic Stability Theory

  • R. J. Knops
Part of the International Centre for Mechanical Sciences book series (CISM, volume 424)

Abstract

General notions of stability are probably well understood nowadays, especially the refinements encountered in applications to continuum mechanics and elastic theory. Movchan (1960 a,b) was the first to extend Liapunov’s original approach to continuous systems but difficulties encountered for nonlinear elasticity, considered in these lectures, in part account for the continuing popularity of other methods for investigating stability properties. These include

The static energy criterion, The adjacent equilibrium method, Spectral analysis, Singular perturbations.

Keywords

Equilibrium Solution Energy Criterion Decay Estimate Nonlinear Elasticity Potential Energy Function 
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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© Springer-Verlag Wien 2001

Authors and Affiliations

  • R. J. Knops
    • 1
  1. 1.Department of MathematicsHeriot-Watt UniversityEdinburghUK

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