Abstract
It is shown that stresses and strains in an infinite tensile sheet with a hole consisting of an arbitrary number of branches of different lengths and directions emerging from a common origin can be determined by means of methods due to N. Muskhelishvili. The complex stress functions are calculated and the stress-intensity factors at the tips of the branches are studied. Numerical results are given for branched crack contours comprising a straight main crack with one sidebranch of varying length and direction. Also, symmetric forking with arbitrary forking angle is studied. By using a quasi-static point of view necessary conditions for forking are derived.
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