Abstract
An elastic plate with a crack at a juncture of a strip and a half-plane is analysed as a thin plate bending problem and as a plane elastic problem. Four and three loading conditions are considered for each problem. Stress distributions near the crack and the juncture are investigated. The stress intensity factors are obtained and compared with those of some similar shapes. The rational mapping function of a sum of fractional expressions and the complex variable method are used.
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