SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 50 of 813 papers in Mechanics
The paper studies the matching of two-dimensional unsteady isentropic polytropic gas flows to a region of gas at rest across a weak discontinuity, where the flow variables are continuous but their first derivatives jump. It formulates the problem using potential double waves, derives governing equat…
This paper examines the collapse of cavitation vapor cavities and proposes that concave portions of their surfaces can act like cumulative recesses in shaped charges, producing high-velocity liquid jets. Using high-speed motion-picture observations and a hydrodynamic model of converging jets, the au…
This note examines the postcritical deformation energy of a thin elastic shell when the ridge of an isometric transformation lies close to a clamped boundary, a situation in which the previously derived energy formula for an interior ridge is no longer directly applicable. The argument reformulates …
The paper studies the initial and boundary value problem for the unsteady two-dimensional boundary-layer equations of a viscous incompressible fluid under monotonicity and smoothness assumptions on the prescribed data. By introducing von Mises type variables with the tangential velocity as an indepe…
This paper examines the loss of stability of a sufficiently shallow, strictly convex elastic shell in a general stressed state with normal and shear stresses referred to the principal curvature directions. Assuming that buckling occurs through a uniformly distributed system of small elliptic regions…
This paper extends a method based on generalized analytic functions to spatial axisymmetric elasticity problems for multiply connected bodies of revolution. It represents displacements and stresses through generalized analytic potentials supplemented by logarithm-like functions that account for mult…
This paper examines the stability of the coaxial, central position of a rotating journal in a hydrodynamic bearing filled with an incompressible viscous lubricant. The authors formulate the coupled motion of the journal and fluid using the Navier-Stokes equations and the journal force balance, then …
This paper examines universal integrals of motion in stationary force fields with specified symmetries, focusing on the difficulty that energy and angular momentum alone do not determine general orbits. It argues that, even when the potential is not additively separable, symmetry permits the energy …
A method is developed for determining effective elastic constants and thermal expansion coefficients of nonhomogeneous bodies with a regular doubly periodic structure formed by arbitrarily placed hollow cylinders of different diameters embedded in a surrounding medium. Using complex potentials, elli…
This paper examines self-sustaining fracture in stressed brittle bodies, understood as a fracture wave driven by stored elastic energy after a load-free surface or unloading condition is suddenly created. The authors propose that such fracture occurs when the elastic energy per unit volume exceeds a…
A numerical method is presented for solving the steady two-dimensional hydrodynamic stream-function equation for viscous incompressible flow with prescribed boundary conditions. The approach reduces the fourth-order problem to coupled finite-difference equations for the stream function and vorticity…
The paper develops a structural energy approach to metal fracture at elevated temperatures, treating rupture as occurring when the lattice absorbs a limiting specific energy associated with interatomic bond breaking and defect accumulation. Using an analogy between mechanical fracture and melting, i…
This paper reports an experimental investigation of the stability of a cantilevered rod subjected to a follower compressive force, a problem previously treated mainly by theory for nonconservative loading. The setup used compressed air jets mounted at the free end to generate the follower force, wit…
This paper analyzes the deposition pattern produced when a cloud of interacting particles settles through the atmosphere and is gradually diluted by turbulent diffusion, causing separated particles to fall with their Stokes velocity and form a moving “dusting” source. The authors formulate and solve…
The paper examines generalized Lagrange equations derived from identities for higher time derivatives of kinetic energy and from generalized forms of d’Alembert’s principle, with particular attention to the Nielsen and Tsenov equations. It shows how these equations can be transformed, by methods ass…
The paper studies a free-boundary problem for harmonic fluid motion in an annular domain, with boundary conditions in which the velocity on the unknown free surface depends on the surface position and its first two derivatives, as occurs for capillary-gravity waves with surface tension. The problem …
The paper develops a mathematical model for intermittency in turbulent flow, focusing on the squared transverse velocity gradient as a measurable indicator of localized intense fluctuations. It represents cascade intermittency by a branching random point process with self-similar fragmentation, deri…
This paper studies stationary motions and stability of holonomic mechanical systems with cyclic coordinates using the Routh reduction and related results of Routh, Poincaré, Kelvin, Lyapunov, and Chetaev. It formulates stability and instability criteria in terms of the reduced potential function, th…
This paper analyzes the upper critical load for loss of stability of a rigidly supported strictly convex shell subjected to a concentrated normal force through a rigid reinforcing element. Using the stationarity condition for the functional equal to deformation energy minus external work, it charact…
The paper examines loss of thermal stability in steady laminar flow of an incompressible viscoplastic material through a circular pipe, where viscosity and yield stress vary inversely with temperature. Starting from coupled momentum and heat conduction equations with viscous dissipation, the authors…
This paper derives exact self-similar solutions for one-dimensional unsteady soil motion with plane waves, using governing equations for velocity, density, pressure, and maximum historical pressure together with moving boundary conditions. The problem is reformulated in Lagrangian-type dimensionless…
The paper develops a variational formulation for the geometrically linear theory of steady-state creep and applies it to shell problems with kinematic restrictions. Starting from a functional whose Euler equations reproduce equilibrium, constitutive relations, strain-rate definitions, and boundary c…
This paper examines the limiting stress state near unloaded holes in thin viscoelastic or fiberglass plates subjected to homogeneous tensile stresses, where local compressive zones may buckle and relax. Using the viscoelastic analogy and membrane solutions, it argues that the stationary stress distr…
The paper addresses the formulation of plane flow past bodies with jets in an ideal fluid, arguing that prescribing nozzle-section velocities together with the body contour and conditions at infinity generally leads to nonuniqueness. It proposes a unified boundary-value formulation in which the phys…
This paper examines the numerical determination of unknown boundary surfaces, such as shock waves and free surfaces, in spatial methods of characteristics for steady supersonic gas flow. Using geometric relations for a surface element together with the steady gas-dynamic equations, it argues that fi…
This paper examines why optical measurements of detonation fronts in a nitric acid and dichloroethane liquid explosive show specular reflection intensities much lower than those predicted from refractive-index changes by geometrical optics. Using a wave-optical treatment of reflection from a rough m…
The paper solves the first fundamental boundary value problem of plane elasticity for an angular wedge with a finite cut along its bisector, with prescribed stresses on the cut and stress-free wedge sides. The method maps the wedge to two infinite strips and represents the Muskhelishvili complex pot…
This paper examines one-dimensional gas motion ahead of a piston moving at constant velocity in a viscous, heat-conducting medium for plane, cylindrical, and spherical geometries. Starting from the unsteady conservation equations with viscosity and thermal conductivity, it introduces dimensionless v…
This paper examines the fracture of high-strength silicate glass after removal of the defective surface layer by treatment with foamed hydrofluoric acid. Square window-glass specimens were tested in central symmetrical bending, and many wet specimens fractured explosively into fine needle-like fragm…
This paper develops an analytical approach to inertial deposition of aerosol particles from a gas or liquid flow onto collecting bodies, using a pseudo-liquid description of particle concentration and equations for particle motion with Stokes number dependence. For potential carrier flow and externa…
The paper derives nonlinear equilibrium equations for elastic shells of arbitrary shape, addressing the need to include not only rotations and elongations of middle-surface line elements but also shear effects. Using curvilinear coordinates along the lines of curvature and moving trihedra attached t…
This paper examines the dynamic buckling of a hinged elastic rod with initial curvature subjected to longitudinal impact by a rigid mass, accounting for the propagation and reflection of compression waves along the rod. Nonlinear equations for axial and transverse motion are formulated and solved nu…
This paper proposes a criterion for evaluating the anti-scuffing properties of lubricating oils based on the rate of their chemical decomposition in the friction zone, rather than on machine-dependent critical load values. It develops a model in which scuffing begins when oil entering the contact is…
The paper examines how functions of integral operators with fractional exponential kernels can be used in applying Volterra’s principle to elastic hereditary media, especially when elastic solutions contain irrational or transcendental functions of material constants. It develops series representati…
This paper analyzes the hydrodynamic stability of a freely expanding spherical laminar flame and addresses why experiments show instability only at Reynolds numbers far above those suggested by Landau’s plane-flame theory. The authors formulate a stability criterion based on growth of the disturbanc…
This paper examines the relation between stress and plastic strain increments in an infinitesimal neighborhood of a corner point of the loading path, within a previously proposed slip-based model of plane plastic deformation. For a state reached by monotonic loading, the authors derive integral cond…
This paper examines the possibility of a hydrodynamic thermal explosion in steady axisymmetric flow of a chemically inert non-Newtonian fluid through a cylindrical tube, assuming a power-law rheology and a strong exponential temperature dependence of the consistency coefficient. By nondimensionalizi…
This paper investigates the unsteady interaction of incident shock waves with blunted cylindrical bodies, focusing on the relation between reflected bow wave position and transient surface pressure. Shock tube experiments were conducted for cylinders with flat and spherical bluntness and for a finit…
This paper examines the directional stability of vehicles on pneumatic wheels, including motorcycles, automobiles, and aircraft landing gear, using equations derived from Keldysh’s theory of elastic tire rolling. By analyzing the nonholonomic equations of motion for small deviations from steady rect…
The paper addresses the integration of equations governing plane flow in ideally plastic bodies, where the unknown velocity, curvature, and coordinate functions satisfy a hyperbolic equation with a Bessel Riemann function. Using the initial flow of a strip indented by a smooth convex punch as an exa…
This paper examines the Sommerfeld effect in a linear oscillatory system driven by the inertial forces of an unbalanced rotor when the system’s natural frequency varies randomly. Using equations for a rotor on an elastic support with limited motor power, the authors apply Krylov, Bogoliubov averagin…
This paper develops a similarity approach for modeling large cratering explosions by treating crater formation as the expulsion of fragmented rock by an expanding gas cavity, after an initial fragmentation stage. Dimensional analysis is used to express the crater radius in terms of gas energy or pre…
This paper develops a kinematic theory of steep surface waves, including limiting swell and wind waves with sharpened crests, by representing particle motion with elliptical rather than circular orbits and by accounting for pulsations of Stokes and drift currents. Using Lagrangian incompressibility …
