V. M. Nazarenko

Compression of an infinite composite material along a finite cylindrical crack

The approaches of classic fracture mechanics cannot be used in studying the compression of a material with forces directed along cracks. This is because within the framework of linear fracture mechanics, the forces acting along cracks do not affect the fracture process since they do not affect the stress intensity parameter or magnitude of crack propagation included in formulation of fracture criteria of the Griffith-Irwin or KRT type. The results of many experimental and theoretical studies show that the losses of the stability of a composite material in compression along a crack can be considered the onset of fracture. For this reason, the criterion in the three-dimensional linearized theory of stability of deformable bodies is used as the criterion of the onset of fracture, where the onset of fracture is characterized by local loss of stability in the vicinity of a defect of a crack type.