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.
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References
Kachanov, L.M.: Introduction to Damage Mechanics. Martinus Nijhoff, Dordrecht (1986)
Rabotnov, Y.N.: Elements of Hereditary Solid Mechanics. Mir, Moscow (1980)
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Erofeyev, V.I., Nikitina, E.A., Sharabanova, A.V. (2010). Wave Propagation in Damaged Materials Using a New Generalized Continuum Model. In: Maugin, G., Metrikine, A. (eds) Mechanics of Generalized Continua. Advances in Mechanics and Mathematics, vol 21. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5695-8_15
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DOI: https://doi.org/10.1007/978-1-4419-5695-8_15
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Print ISBN: 978-1-4419-5694-1
Online ISBN: 978-1-4419-5695-8
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