Modeling of the Crack Tip Plastic Zone by Two Slip Lines and the Order of Stress Singularity

On the direction of development of a thin fracture process zone at the tip of an interfacial crack between dissimilar media

“…In recent years, there has been intensive development of studues in the field of the fracture mechanics of various deformable bodies, including composite materials, welded and adhesive joints, fractured rocks, and concrete and polymers. That was owing to new models of fracture mesomechanics that account, more fully than in the classical models, for the features of fracture process zones at crack tips [2][3][4][10][11][12][13][14][15].Most theoretical studies in the field of the mechanics of interfacial cracks supposed that the fracture process zone is a surface on which the normal or tangential displacements discontinue. This surface is located on the continuation of the crack and does not go beyond the crack plane [2,4,11,12,15].…”

“…In recent years, there has been intensive development of studues in the field of the fracture mechanics of various deformable bodies, including composite materials, welded and adhesive joints, fractured rocks, and concrete and polymers. That was owing to new models of fracture mesomechanics that account, more fully than in the classical models, for the features of fracture process zones at crack tips [2][3][4][10][11][12][13][14][15].…”

“…This surface is located on the continuation of the crack and does not go beyond the crack plane [2,4,11,12,15].…”

Two-Parameter Model of a Mode I Crack in an Elastoplastic Body under Plane-Strain conditions

“…Obviously, a closed-form elastoplastic solution for a mode I crack would account for these factors. Such analytical solutions are as yet unavailable, however; and researchers have to use crack models to simplify the distribution of stresses and strains and the form of the plastic zone.Recently, the following nonclassical approaches have been developed: -the criteria of plasticity theory and various numerical methods of analyzing the plastic zone at the crack periphery [16,27];-criteria of local buckling near cracks [2, 13]; -more complete description of the plastic zone using a discrete system of slip bands [1,15,34,35] or domains of simple configuration [16][17][18];-more complete description of the stress distribution at the crack periphery, and not just its singular part [22, 36-39, 42, 46, 47]; …”

“…-criteria of local buckling near cracks [2, 13]; -more complete description of the plastic zone using a discrete system of slip bands [1,15,34,35] or domains of simple configuration [16][17][18];…”