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Torsion of an elastic rod of circular cross section weakened by an arbitrary number of radial cracks which reach to the surface. (English. Russian original) Zbl 0546.73080

Sov. Phys., Dokl. 28, 595-597 (1983); translation from Dokl. Akad. Nauk SSSR 271, 319-323 (1983).
The problem of torsion of an elastic rod having an arbitrary number of radial cracks, all reaching the surface, has been investigated. Defining a modified Prandtl function which satisfies certain requirements in addition to the condition that energy is finite, the calculation of torsional stiffness and the stress-intensity factor at the tip of the m- th crack has been carried out. It is shown that if the small cracks are sufficiently close to each other, there is a decrease in the intensity coefficient in comparison with the case of a single crack. The method presented in the paper may be applied to other problems of elasticity theory, for example, bending of rods, etc.
Reviewer: V.K.Arya

MSC:

74R05 Brittle damage
74G70 Stress concentrations, singularities in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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