[en] To develop a mathematical model of plastic deformation during explosion welding of plates a physical model was chosen that is convenient for mathematical model was developed for the conditions of dynamical collisions of plates under the action of a shock wave moving over the external surface. The model is organized according to a module principle for ensuring numerical solution with the help of computer. Analysis of the problem numerical solutions allowed on to obtain main regularities for welding parameter effect on geometry and properties of welded joints