Abstract:
In the linear formulation, the problem of the propagation of unsteady stress waves in an elastic body with
symmetrically located rectangular holes is considered. Formulated in terms of stresses and velocities, the
mixed problem is modeled numerically using an explicit difference scheme of the end-to-end calculation
based on the method of spatial characteristics. The wave process is caused by applying an external
dynamic load on the front border of the rectangular region, and the side boundaries of the region are
free of stresses. The lower boundary of the rectangular region is rigidly fixed. The contour of symmetrically
arranged rectangular openings is free of stress. Based on the numerical technique developed in this work, the
calculated finite - difference relations of dynamic problems are obtained at the corner points of a rectangular
hole, where the "smoothness"of functions "familiar"to dynamic problems is violated. At these corner points,
the first and second derivatives of the desired functions suffer a discontinuity of the first kind. The isoline
presents the results of changes in wave fields in an elastic body with symmetrically located rectangular
holes. The concentration of dynamic stresses in the vicinity of the corner points of a rectangular hole is
investigated. By numerical implementation, the stability of computational algorithms for a sufficiently large
time is established.
