Wave Propagation in Damaged Materials Using a New Generalized Continuum Model
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.
KeywordsPhase Velocity Kinetic Equation Damage Accumulation Damage Material Acoustic Method
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