An approach is suggested that allows one to write evolution equations of damage accumulation and dynamics of the material within a single scheme and based on the principles of continuum mechanics. It is shown that the damaged material introduces frequency-dependent attenuation and dispersion of the phase velocity of ultrasonic acoustic waves, which makes it possible to assess damage using the acoustic method. The applied deformation field, in its turn, leads to the accumulation of damage. A kinetic equation is derived, whose analysis shows that the increase in damage is exponential. Parameters of the system for which damage accumulation can be assumed linear are ssessed.
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