Abstract
The plane problem of elasticity theory for a body weakened by a system of arbitrarily oriented rectilinear cracks has been reduced to a system of singular integral equations. The following cases have been considered: a system of cracks in infinite and semi-infinite plates, a system of cracks in an infinite plane with a circular hole, a periodic and doubly-periodic system of cracks of arbitrary orientation in an unbounded plate, and a periodic system of cracks in a semi-infinite plane. The analytical solution of the equations obtained can be found by the perturbation method when the cracks are far from each other and from the domain boundaries; in other cases their solution can be found numerically.
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