Abstract
An approach is presented to construction of mechanics of brittle and plastic fracture of materials in compression along a system of parallel cracks. The approach is based on the use of three-dimensional linearised theory of stability of deformable bodies. In this approach theoretical strength limits correspond to critical loads calculated with the use of relations of three-dimensional linearized theory of stability of deformable bodies. General formulation of problems is given for compressible and incompressible elastic and elastic-plastic models in case of highly elastic and relatively hard materials; characteristic classes of problems are analysed, their discussion is presented. Accurate solution of problem for infinite body is presented for the case of arbitrary number of infinite cracks located in one plane; results are obtained with the use of complex potentials for linearized problems in the general form for brittle and plastic fracture. For additional data on related problems see publications [I-7].
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