Abstract
The asymptotic form of the stress-strain state of a three-dimensional elastic body in the neighbourhood of a singular point of a special type is investigated. Near such a point the boundary of the body consists of four surfaces, namely, two planes forming a dihedral angle and two smooth surfaces tangent to one another at a point on the edge of the angle. (Similar singularities are present on the cutting edges of some devices.) A procedure for determining the structure of asymptotic solutions is presented.
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