A mathematical model allowing within the continuum mechanics to calculate the stress-strain state and fracture in brittle materials under repeated impact load. Computer simulation was used to study the processes of deformation and fracture of spherical particles of boron carbide with repeated impact on a hard obstacle at different angles of the meeting and the models of reinforced concrete columns with repeated end-face collision. A comparison of the data with the results of mathematical modeling of test patterns on the ramming of concrete columns installation.