Abstract
The semi-infinite plate which is rigidly stiffened at a part on the boundary and with a crack originating from an end of the stiffened edge is analyzed as a mixed boundary value problem in a plane elastic problem. A complex variable method and a rational mapping function are used for the analysis. A closed solution is obtained. The rational mapping function is formed as a sum of fractional expressions. Distributions of stress and displacement in the neighbourhood of the crack and the stiffened edge are investigated for the state before and after occuring of a crack. Stress intensity factors which are important in linear fracture mechanics are obtained for various crack lengths.
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