Mechanics |
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2003, No. 4
A.L. Bersudskiy, O.A. Loginov
MODELING STRESS-STAIN STATE OF A HARDENING SUPERFICIAL LAYER WITH SURFACE COATING
The process of stress--stain state formation of a superficial layer by hardening with simultaneous composite coating is studied. The method (based on FEM) of modeling residual stresses on a surface with a thin antifrictional coating is given.
S.A. Lychev
COUPLED DYNAMIC THERMOELASTIC PROBLEM FOR A FINITE CYLINDER
In the present study a closed solution of coupled dynamic thermoelastic problem for a finite cylinder is obtained. The solution is of the form of spectral expansion based on the biorthogonal eigenfunction system of non self-adjoined differential pencil, generated by the initial boundary value problem under consideration. The representation of spectral expansion is then obtained by the special non-symmetrical integral transformation.
Y.N. Radayev, Y.N. Bakhareva
TO THE THEORY OF AXIALLY-SYMMETRIC PROBLEM OF THE MATHEMATICAL THEORY OF PLASTICITY
The equations of three-dimensional problem of the mathematical theory of plasticity are analysed in the isostatic co-ordinate net and the three stress principal line invariants are obtained. A number of self-similar solutions of the axially-symmetric problem is given by introducing a self-similar variable as the products of powers of the isostatic co-ordinates. For special values of parameters involved in the self-similar solution the problem is reduced to obtaining solution of a non-linear non-autonomous ordinary differential equation. Then this equation is numerically analyzed. The computation of principal stresses distributions within the self-similar solutions zone is implemented.
Y.N. Radayev, V.A. Gudkov
The equations of axially-symmetric problem of the mathematical theory of plasticity are considered in the case when a stress state corresponds to an edge of the Tresca prism. The self-similar solutions when the self-similar variable being a product of power function of isostatic co-ordinates are obtained. Supposing special values for parameters involved in self-similar solution the problem is reduced to obtaining solution of a non-linear non-autonomous ordinary differential equation. This equation is transformed into the Abel form whereby it can be identified. The Abel form is then represented in its canonical pattern.