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The asymptotic form of the stress-strain state near a spatial singularity of the boundary of the ”beak tip” type. (English. Russian original) Zbl 0794.73011
J. Appl. Math. Mech. 57, No. 5, 887-902 (1993); translation from Prikl. Mat. Mekh. 57, No. 5, 127-142 (1993).
Summary: 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.

MSC:
74B05 Classical linear elasticity
35Q72 Other PDE from mechanics (MSC2000)
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