Nucleation of cracks in an isotropic medium with periodic system of rigid inclusions under transverse shear

What is it about?

The analysis of the limit equilibrium state of a body with periodic system of rigid inclusions and rectilinear pre-fracture zones with interfacial bonds between the faces under transverse shear was reduced to a simultaneous parametric investigation of resolving algebraic system and deformation criterion of fracture under different laws of deformations of interparticle bonds of the material, elastic constants and geometric characteristics of a perforated body. The tangential forces in bonds and shear of the pre-fracture zone surfaces were determined directly from the solution of the obtained algebraic systems. The model of the crack nucleation based on a pre-fracture zone with bonds between the faces allows to investigate the main regularities of tangential forces distributions in bonds under different deformation laws; to analyze the limit equilibrium of the medium with the pre-fracture zones with regard to deformational condition of fracture; to estimate the critical external load andmaterial’s crack resistance.

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Why is it important?

The obtained relations enable to investigate the limit equilibrium state of the medium with a periodic system of circular holes filled with absolutely rigid inclusions soldered along the contour and weakened with rectilinear pre-fracture zones collinear to the abscissa and ordinate axes of unequal length under transverse shear.