Mechanics |
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2006, No. 6/1
E.A. Gerasimenko, V.Y. Ragozina
RAY SERIES IN STUDY OF PROPAGATION OF NON-PLANAR SHOCK WAVES
In this paper a way of forming approximate solutions of shock deformation boundary problems is discussed. The analysis is based on the theory of geometric and kinematic discontinuities compatibility equations when the moving discontinuity surface is determined in a curvilinear coordinate system. We also consider nonlinear effects in regularities of propagating one-dimensional cylindrical shock waves depending on type of initial deformation. Approximate solution with cylindrical longitudinal diverging wave is also obtained.
M.V. Menshov
A MATHEMATICAL MODEL OF POLYDISPERSION AEROSOLIC COMPOUND MIGRATION AND SEDIMENTATION
The paper is aimed at verification of mathematical model of polydispersion aerosolic cloud migration and sedimentation. The cloud is formed from the liquid compounds spraying by means of the aero planes used for fields spraying treatment from the average height. The paper describes the environment and the methodology of field experiments. It also presents the results of a comparative analysis, which are obtained by measurements of land control and data computation according to the proposed model.
Y.N. Radayev
In the present study a system of partial differential equations which describes kinematic of three-dimensional plastic flow for the states corresponding to an edge of the Tresca prism is obtained. The system includes the Cauchy equations and the compatibility equations formulated for displacements and strains increments. These equations are then analysed by the aid of the triorthogonal isostatic co-ordinate net. The system of kinematic equations is shown correctly determines displacements increments and be of the hyperbolic type. Relations for the displacements increments valid along principal stress lines are derived. Kinematic of plane and axial symmetric plastic flow are separately considered for each case. Kinematic equations for states corresponding to a facet of the Tresca prism which are of the less importance are also examined.
N.A. Kurnysheva
In the present study the three-dimensional kinematic equations for coupled (plastic strain–damage) states of rigid-plastic solid with distributed anisotropic microdamages are obtained. Anisotropic damage is represented by a symmetric second-rank damage tensor. The principle axes of the damage tensor are assumed to coincide with principle axes of the Cauchy stress tensor. The system of the three-dimensional kinematic equations in their incremental forms is then analysed by isostatic coordinate net. The system is shown belong to hyperbolic type, thus allowing to generalize cone of characteristic directions for coupled states.
B.N. Fedulov
TENSION OF STRIPES OF DILATANT MATERIAL
The paper is devoted to analysis of a limit plastic state of stripes under tension loading taking into account dilatancy and stress type dependency of media.