STRETCHING OF A PLATE WITH A HOLE AND A RADIAL CRACK, THE CONTINUATION OF WHICH FORMED PLASTIC ZONES USING TRESCA-SAINT-VENANT PLASTICITY CONDITION

Abstract

The work presents a solution to the problem of the stretching of an infinite isotropic plate with a circular hole and a radial through straight crack. It was assumed that under the action of an external load at infinity, on the crack extension the plastic zones are formed, modeled using Tresca-Saint-Venant plasticity conditions. The solution of the problem is built using the method of the theory of functions of a complex variable and complex potentials and is reduced to a system of singular integral equations, which is numerically solved using the method of mechanical quadrature. A numerical analysis of the problem is conducted and graphic dependencies of the length of the plastic zones and applied external loads were constructed