On the influence of boundary conditions type on the arch part of the contour of circular sector on the behavior of stresses in the conditions of a smooth contact on the radial sides. Part II.
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2014, Vol 67, Issue 3
Abstract
An elastic state of a thin circular sector, when on the radial sides the condition of contact with rigid stamp without friction (conditions of smooth contact) is established and on the arch part of the contour normal and tangential displacements are given, is considered. In the earlier investigations [1-6] on the arch part of the contour of the sector 1) normal and tangential stresses, 2) normal stress and tangential displacement, 3) normal displacement and tangential stress were given. It has been shown, that in these cases, when the wedge angle opening tends to or 2 , the stresses have the singularity of r 1 type ( 0 at or 2 ) and the coefficients with such singularity in the conditions of general loading of the contour arch part in the first problem are different from zero, and in the second and third problems they vanish. Here the fourth case of loading of the arch part of the boundary sector is analized. The solution of the problem is built with the help of the method of separation of variables.
Authors and Affiliations
Azat Sargsyan
On the constitutive equations of the physically non-linear theory of heterogeneous thin shells.
c
Problem for elastic plane weakened by cruciform insertion.
c
On pressure of a solid body on a transversally-isotropic plate mounted on an elastic base.
c
Condition of technical stability of moving continuum systems, Interacting with fluid flow.
c
On some method of solution of bending problem of ortotropic plate in form of ring sector.
c