NEW TRANSFORMS FOR THE RESOLVING EQUATIONS IN ELASTIC THEORY AND NEW INTEGRAL TRANSFORMS, WITH APPLICATIONS TO BOUNDARY-VALUE PROBLEMS OF MECHANICS

摘要

This paper reviews results from an analysis of exact boundary-value solutions of static and dynamic elasticity obtained by the method of integral transforms. Consideration is given to the solutions of problems for a half-space and a blunted hollow cone, the heat conduction problem for a cone, and the diffraction problem for a cone with a hole along the generatrix. Solutions of mechanics problems are analyzed and the method of integral transforms is generalized.