Elastoplastic Deformation of Isotropic Sheet Having Two Semi-Infinite Cracks with Allowance of Material Hardening

摘要

The paper deals with problem on extension by two pin forces of isotropic sheet having two semi-infinite collinear cracks. Plastic zones and hardening of material are taken into account. Using methods of theory of functions of complex variable the problem at issue has been reduced to the problem of linear conjugation. Its solutions are constructed in class of plastic zones functions confined at the crack tips. The equations for determination of plastic zones lengths and expressions for opening of the crack edges at its tip are written. Numerical analysis of this problem is performed.