Investigation of wave processes in a rectangular region with discontinuous boundary conditions

Anisotropy of Economic Space of the Republic of Kazakhstan

“…Therefore, the problem of stress concentrations is given great attention in modern technology, which is reflected in the almost infinite number of domestic and foreign studies, as well as in the special monographs and the reference manuals. In general, the number of works devoted to the dynamic problems, taking into account a number of weakening factors, is very small; far from all aspects of their working capacity under conditions of unsteady external loads are considered in them [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. However, interest in these problems, due primarily to the importance of solving complex practical problems, is great, and further improvement of numerical methods in various modifications using increasingly sophisticated electronic computing equipment should lead to a significant development of this direction.…”

“…, , x x x are the constant numbers defining the size of the cutout. Zero initial conditions (5) mean that a rectangular strip with a symmetrically positioned rectangular cutout at the lateral boundaries until the time instant 0is in an unperturbed state. The boundary condition (6) is the specification of the normal component of the particle velocity and the absence of the tangent component of the particle velocity at the strip boundary 0 for all time instants.…”