The method of fictitious absorption in problems of the theory of elasticity for an inhomogeneous half-space

The method of fictitious absorption [1-3] is generalized to a class of dynamic mixed problems of the theory of elasticity for a multilayered inhomogeneous half-space. The generalization is based on the use of numerical methods of solving integral equations of the first kind, which enables an exact representation of the symbols of the kernel of the integral operators to be employed and enables one to omit the approximation stage which is necessary when realizing the traditional scheme of the method of fictitious absorption. One thereby completely preserves all the dynamic features of the symbols of the kernel of the integral equation, including the branching points, which leads to a more complete consideration of the dynamic properties of the problem and, consequently, to an increase in the accuracy of the solution obtained in the result. (C) 2002 Elsevier Science Ltd. All rights reserved.