Stress-state of a circular disc in the conditions of smooth contact on the borders of the radial crack
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2015, Vol 68, Issue 1
Abstract
An elastic equilibrium of a thin circular disc with a radial crack, the borders of which are in contact with the rigid stamps without friction, and in the contour of the disc 1) normal and tangential stresses, 2) a normal stress and a tangential displacement, 3) a normal displacement and a tangential stress, 4) normal and tangential displacement are given, is considered. The closed solutions of the stated problems are obtained by the method of separation of variables. The singularities of the stresses and the behavior of the coefficients with the singularitiy in the vicinityof the crack top are investigated. Mechanical sense of the correlations between the boundary conditions given on the contour of the disc and appeared during the solution of each problem, is established.
Authors and Affiliations
Grinsha Nersisyan, Azat Sargsyan
Keywords
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