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Vol 72, No 4 (2017)

Article

Calculation of a composite cylindrical shell of piecewise constant thickness with consideration of transverse shears

Pogosyan A.G.

Abstract

The optimal geometric and physical parameters of a stepped cylindrical shell are determined. These parameters are optimal in the sense that they ensure the maximum carrying capacity of the shell for its given overall size and weight. The shell is made of a composite material. The refined theory of anisotropic shells is used with consideration of transverse shear effects on the stress-strain state.

Moscow University Mechanics Bulletin. 2017;72(4):79-83
pages 79-83 views

The cooling of a lava flow spreading over a flat surface

Vedeneeva E.A., Mel’nik O.E., Utkin I.S.

Abstract

The cooling of a lava flow modeled by a viscous incompressible fluid spreading over a flat surface is considered. In order to model the free surface, a known analytical solution is used in the thin-layer approximation. The thermal boundary layer thickness is determined and the evolution of thermal fields in the lava profile is studied.

Moscow University Mechanics Bulletin. 2017;72(4):84-88
pages 84-88 views

Fluid outflow from an orifice in a plane wall in the presence of a variable-strength source on the symmetry plane of flow

Tolokonnikov S.L.

Abstract

The unsteady jet outflow of an ideal incompressible weightless fluid from an orifice in a wall is considered in the presence of a variable-strength point source on the symmetry plane of flow. It is assumed that the velocity of the perturbed flow induced by the change of the source discharge is small compared to the velocity of the steady flow. The Gurevich–Haskind method is used to solve the problem. A boundary value problem for the complex potential of the perturbed flow is formulated and solved. The pressure distribution on hard walls is determined for the harmonic law of the source discharge variation. The evolution of the shape of the jet’s free boundary is studied.

Moscow University Mechanics Bulletin. 2017;72(4):89-93
pages 89-93 views

Numerical study of strength properties for a composite material with short reinforcing fibers

Solodovnikov A.S., Sheshenin S.V.

Abstract

A numerical approach to the determination of strength properties for concrete with short reinforcing fibers on the basis of the finite element method is proposed. The mathematical model takes into account various processes of nonlinear deformation of the concrete matrix under compressive and tensile loads, the possibility of developing the inelastic strains in the concrete matrix and reinforcing fibers and the nonlinear interaction between them. The effect of fiber concentration, various loading surfaces for the material matrix, and the bonding type on the deformation of a composite material is analyzed. Numerical examples of strength analysis are given.

Moscow University Mechanics Bulletin. 2017;72(4):94-100
pages 94-100 views

Exact solutions to a problem in terms of stresses for incompressible elastic conical bodies

Georgievskii D.V.

Abstract

Exact solutions to the elasticity theory problem in terms of stresses for an incompressible conical body of arbitrary shape under the action of a given concentrated force applied at its vertex are given and analyzed. A solution in terms of stresses with a singularity whose order is higher by one than that in the classical solution is discussed. The surface load at the boundary of the conical body corresponding to such a solution is obtained.

Moscow University Mechanics Bulletin. 2017;72(4):101-102
pages 101-102 views