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Solution of the Kirsch problem in the dynamical statement. (Russian) Zbl 0719.73023

Mat. Issled. 108, 3-9 (1989).
[For the entire collection see Zbl 0671.00017.]
The Kirsch problem of the stressed state of a rectangular plate with a hole is studied in the dynamical statement. The problem is reduced to a hyperbolic system of eight equations, which is numerically integrated by using an explicit finite difference scheme based on the characteristic properties of the system. The stressed-deformed state of the plate before its fracture is analyzed and the zones of stress concentrations and possible cracking are found.
Reviewer: O.Titow (Berlin)

MSC:

74K20 Plates
74R99 Fracture and damage
74G70 Stress concentrations, singularities in solid mechanics

Citations:

Zbl 0671.00017
Full Text: EuDML