[en] In the framework of a version of semihard QCD the differential cross sections of pp and bar pp elastic scattering are calculated in a wide range of energies from a few GeV to 40,000 GeV in the interval 0≤-t≤3 GeV² of the squared momentum transfer. At these energies the total interaction cross sections, the total elastic cross sections, the slopes of the diffraction peaks, and the ratio of the real to the imaginary part of the forward elastic scattering amplitude are also calculated. The calculated values are compared with the existing experimental data, and predictions are made for higher energies. 22 refs., 7 figs., 4 tabs