Statistical model of internal energy dissipation in composition materials

A model of the theoretical evaluation of normalized losses of elastic-vibration energy in matrix-type composition materials with spherical inclusions as a function of the probability of the development of plastic deformations in microvolumes of the matrix is proposed. The distribution function of maximum shear stresses in the matrix in the vicinity of an inclusion is constructed on the basis of Muskhelishvili's relationships with allowance for the effect of neighboring inclusions. The effect of the volume percentage of inclusions and the ratio of the shear moduli of the inclusions and matrix on the level of energy losses associated with microlocalized plastic deformations of the matrix is analyzed.