Abstract
Some features of the behavior of ideal tips of transverse shear and tear cracks (“shear-tear” crack tips) propagating together with the shear wave fronts are investigated. It is shown that in the quasi-static approximation, the ideally plastic behavior of the material near the tear crack has a spatial character and has characteristic planes oriented at an angle of 45 degrees to the directions of the principal stresses. This makes it possible to interpret the flow of material at the tip of a tear crack as sliding along the faces of regular polygonal pyramids with bases in the tear plane. The leading edge of a “shear-tear” crack, on which both tear and transverse shear occur, in the process of propagation degenerates either into the tip of a tear crack or into the tip of a transverse shear crack. This is due to the fact that the shear or tear of a smaller magnitude reaches its limiting value earlier (stops) and then the tip of the remaining type of crack propagates.
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