DEVELOPING A BOUNDARY ELEMENT METHOD FOR ANALYZING 3-DYMENSIONAL CONTACT NONSTATIONARY DYNAMIC PROBLEMS OF ELASTICITY
The paper presents two BEM-approaches to analyzing 3-dymensional dynamic problems of elasticity. A BEM-approach using Laplace integral transform and Dourbin method that makes it possible to construct the sought function using a known image is described and demonstrated. Dourbin method with inhomogeneous piecewise quadratic approximation of the image is used. A BEM-approach with explicitly accounting for the time variable is also presented. A BE-technique of constructing a discrete analogue in combination with the quadrature method for convolutions is used. A novel scheme of the quadrature method for convolutions is constructed. The results of the BEM-calculations are given. The presented BEM-schemes demonstrate high accuracy.