This study analysed the behaviour of the rock after the blast. It is divided into two parts. The first past describes the rock behaviour law, where the ground is supposed to be in an elastoplastic model,in which are formed in the up grade bench three zones: zone of large discontinuities (the plastic zone near the drilling), the zone of small discontinuities (second plastic zone) and beyond it an elastic zone develops. The bench slope stability requires the reduction of the first plastic zone. The radius of that zone is determined as a function to the static strain energy as well as the dynamic energy resulting respectively from the static pressure p in the drilling hole and from the introduced explosive quantity. In the second part the radius is calculated as a function to the explosive quantity charge into the hole and equally on site.
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