Biaxial Bending of an Isotropic Plate with Through Rectilinear Crack with Regard for the Width of the Contact Zone of its Edges and in the Presence of Plastic Zones Near its Tips

We pose and solve the problem of the biaxial bending of an isotropic plate with through rectilinear crack by distributed bending moments applied at infinity. The edges of the crack are in contact over the zone of constant width and plastic zones are formed near the crack tips. By using the Tresca plasticity conditions in the form of a surface layer and a plastic hinge, we determine the length of the plastic zone and the crack opening displacements near the tips. The numerical analysis of the problem is performed.