Marchenko T. The central impact of two identical blunted elastic bodies

Thesis is devoted to development of the effective approach to solving of problems of impact interaction of two identical elastic cylindrical bodies and bodies of rotation, which based on the use of Laplase's transformation with the subsequent division of variable in the space of images. An initial problem is reduced to the decision of the infinite system of the second kind Volterra integral equations. This system should be solved with equations of movement of cooperation bodies. An efficient numerical method and algorithms for solution of plane and axysimmetrical problems of impact interaction of identical elastic bodies are elaborated. The basic characteristics of impact process and the character of their change depending on various kinds of boundary conditions on surfaces of bodies for different value of weight and curvature of their frontal surface, relative speed of rapproachement and elastic properties of a material are defined. The analysis of numerical results is carried out.