A consistent solution of the problem of one-sided tension of an elastic plane with an astroidal hole

We consider the stress-strain state of an elastic plate with a hole in the form of an astroid under one-sided tension. The contact of edges of the hole near two opposite tips of the astroid is taken into account, which eliminates the contradiction with the classical solution concerning the overlapping of edges of the hole. We determined both the length of the regions of contact pressure and the distribution of contact stresses. For two contact-free tips of the hole, the value of the stress intensity factor is calculated. © 2009 Springer Science+Business Media, Inc.