The model is equally stressed cylinder on the basis of Mohr's theory of strength under pressure and temperature effects

Abstract

The model is equally stressed cylinder on the basis of Mohr's theory of strength under pressure and temperature effects

Dudnik A.E., Chepurnenko A.S., Nikora N.I., Denego A.S.

Incoming article date: 15.06.2015

Solved the inverse problem for a thick-walled cylinder, experiencing temperature and force action, under the plane of the axisymmetric problem of elasticity theory. By the variation of the modulus of elasticity, in which the cylinder is equally stressed by the Mohr's theory of strength. The problem is reduced to a differential equation of the first order. This equation was solved numerically, using the Runge-Kutta method of fourth order.

Keywords: thick-walled cylinder, optimization, heterogeneity, method, Runge-Kutta, temperature, flat axisymmetric problem