Wave Propagation in Damaged Materials Using a New Generalized Continuum Model

  • Vladimir I. Erofeyev
  • Elena A. Nikitina
  • Alla V. Sharabanova
Chapter
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 21)

Abstract

An approach is proposed that allows formulating self-consistent problem that includes equations of the material’s dynamics and conditions of its damage. It is shown that damage in the material introduces a frequency-dependent damping and dispersion of the phase velocity of ultrasonic acoustic waves that allows estimating damage using the acoustic method. Applied field of deformations leads to the accumulation of damage. A kinetic equation is obtained, whose analysis shows that damage grows exponentially. The parameters of the system for which accumulation of damage can be considered as linear are estimated.

Keywords

Fatigue Agate Alla 

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References

  1. 1.
    Kachanov, L.M.: Introduction to Damage Mechanics. Martinus Nijhoff, Dordrecht (1986) Google Scholar
  2. 2.
    Rabotnov, Y.N.: Elements of Hereditary Solid Mechanics. Mir, Moscow (1980) Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Vladimir I. Erofeyev
    • 1
  • Elena A. Nikitina
    • 1
  • Alla V. Sharabanova
    • 1
  1. 1.Nizhny Novgorod BranchA.A. Blagonravov Mechanical Engineering Institute RASNizhny NovgorodRussia

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