Analytical Constructions of Eigensolutions for Isotropic Conical Bodies and Their Applications for Estimating Stress Singularity

摘要

One of the important results of the classical theory of elasticity is the possibility of existence of singular solutions, substantiation of the occurrence of which is given in [1]. A reasonably complete review of the works related to the construction and analysis of singular solutions in two-dimensional problems of the theory of elasticity is given in [2, 3]. It is necessary to note that, in these reviews, there are none of the numerous works of Russian mechanics researchers. For three-dimensional problems, it is possible to single out two classes of regions: the edge of a spatial wedge and the apex of a polyhedral wedge or cone. Interest in the former problems was exhausted by the results of a number of works including [4].