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
This paper examines Lyapunov stability for equilibria of mechanical systems with infinitely many degrees of freedom, emphasizing differences from finite-dimensional systems. Using explicit solution formulas for a fixed string, a fixed rectangular membrane, and a clamped elastic parallelepiped, it sh…
This note refines the plane reflection hypothesis used to approximate the interaction of acoustic waves with elastic bodies, particularly when exact solutions are computationally difficult. Using orthogonal curvilinear coordinates tied to a body surface, the authors reduce the acoustic wave equation…
This paper examines diffusional separation in a boundary layer of a dissociating gas mixture near the critical point of a blunt axisymmetric body, using a three component model consisting of atoms, diatomic molecules, and an inert gas. Numerical calculations for several mixtures and flow conditions …
The paper examines high temperature creep under pulsating and changing stress using a rheological model composed of two elastic and two viscous elements whose properties may depend on stress. It proposes a graphical method for constructing deformation over time under periodic unloading and reloading…
This paper formulates and approximates the problem of a laminar multicomponent boundary layer near a stagnation point or line on a chemically active burning surface of complex composition. Using effective diffusion coefficients, it derives governing equations and boundary conditions for momentum, sp…
This study examines the rate of vibrational excitation and dissociation of carbon dioxide molecules behind shock waves at temperatures corresponding to Mach numbers 6 to 11. The authors compare calculated flow parameters for different nonequilibrium states with shock tube measurements obtained by To…
This paper extends a generalized analogy for mass transfer in a laminar multicomponent boundary layer to flows with arbitrary longitudinal pressure gradient and arbitrary surface blowing distribution, in the absence of homogeneous reactions. Using effective diffusion coefficients, Dorodnitsyn-Stepan…
This paper investigates how stress concentrations affect the strength of model unidirectional fiberglass-like systems consisting of cross-linked polymer binders reinforced by a single glass rod. Using polarization-optical observation during tensile loading and a theoretical treatment based on shear …
The paper develops a simplified model for one-dimensional plane explosive waves in an elastoplastic medium whose volumetric and shear response is piecewise linear and may pass through elastic, plastic, and unloading regimes. It classifies four possible medium types according to the sequence of stres…
This paper investigates why shock waves form near the throat of Laval nozzles in transonic gas flow. It studies a self-similar class of discontinuous solutions of the transonic flow equations with power-law Cauchy data on the symmetry axis, reduces the governing problem to an ordinary differential e…
The paper studies transverse bending of an isotropic elastic plate on a doubly periodic lattice of point supports under a uniform transverse load, with attention to stress behavior near the supports. Using complex-variable representations of the biharmonic plate equation, the authors construct doubl…
The paper analyzes plane compression of a rigid plastic layer with anisotropic hardening between rough parallel plates, extending earlier ideal plastic and linearized hardening treatments. Using the associated flow law, equilibrium equations, and the Almansi strain tensor, it derives a reduced formu…
This paper studies brittle fracture in an unbounded elastic body containing an inserted or removed material half-plane and subjected to uniform tension perpendicular to it. Using a crack model in which the faces interact through a continuous nonincreasing separation stress, the authors formulate an …
The paper studies small motions of a heavy viscous incompressible liquid in an open vessel with a free surface, neglecting surface tension, after linearization of the Navier-Stokes equations. Using variational formulations in a Sobolev space of solenoidal velocity fields, auxiliary boundary value pr…
This paper investigates pressure pulsations associated with secondary cavitation erosion foci formed downstream of a circular-profile model in bounded flow. Piezoelectric pickups mounted flush with the wall in the secondary erosion zone were used to record pressure pulses and spectra for several flo…
The paper presents a general method for reducing by two the order of a Hamiltonian system when one integral of motion is known. It constructs a canonical transformation whose generating function satisfies a Hamilton-Jacobi type equation with the given integral playing the role of the Hamiltonian, an…
This paper examines the use of the diffraction shadow method for quantitatively determining the intensity of plane shock waves formed at a model in a supersonic flow. The authors derive and analyze formulas relating photographic density in diffraction maxima to optical path difference, including est…
The paper develops a method for solving elasticity problems for shallow spherical shells occupying multiply connected domains bounded by circular contours. The stress function is decomposed into harmonic, Helmholtz, and particular parts, with analytic function expansions and cylindrical functions us…
This paper studies particular periodic solutions of the Euler-Poisson equations for the motion of a heavy rigid body about a fixed point, in the limiting case where the initial rotation about a principal inertia axis is large and the parameter satisfies omega equals one half. It derives additional e…
This paper analyzes the linear aeroelastic stability of a simply supported rectangular three-layer plate with an asymmetric thickness structure and a rigid core, subjected to in-plane normal and shear forces and exposed on one side to a supersonic gas flow. The formulation incorporates transverse sh…
The paper analyzes the motion of a gyroscopic compass when the vertical velocity of its support is treated as a stationary random process, as may occur under vibration or pitching. Starting from linearized gyrocompass equations with vertical base displacement, it formulates a system with random para…
This paper presents a numerical investigation of supersonic flow past a sphere with a detached shock wave for air and carbon dioxide under thermochemical equilibrium. The authors formulate the transformed governing equations with equilibrium thermodynamic functions, apply shock and body boundary con…
This paper analyzes one-dimensional unsteady liquid motion near a nonuniformly moving piston under the onset and growth of cavitation. Using a previously proposed continuum model for a liquid containing cavitation nuclei, it derives a particular family of nonlinear solutions describing the cavitatin…
The paper studies surface waves generated on a rotating liquid occupying a half-space by a time-periodic pressure distribution moving uniformly over the free surface. Starting from the linearized hydrodynamic equations with Coriolis effects and vertical acceleration retained, it derives an integral …
This paper addresses numerical calculation of high-speed three-dimensional flow past blunt bodies when equilibrium physicochemical reactions in the gas affect the thermodynamic properties. It introduces an effective isentropic exponent as a function of pressure and density and proposes a compact app…
This paper develops a rheological theory of thixotropy in condensed polymer systems, treating thixotropy as a reversible, time-dependent change in structure and properties under mechanical deformation. The authors model a thixotropic viscoelastic medium as parallel Maxwell elements whose structural …
This note gives a rigorous proof of the linear instability of Poiseuille flow in a plane channel by studying the Orr, Sommerfeld eigenvalue problem for complex wave speed. After transforming the problem near a critical point, it constructs smooth inviscid and boundary-layer fundamental solutions, de…
This paper examines low Mach number gas flow past stationary spherical and cylindrical obstacles whose radii are comparable with the molecular mean free path, where classical no slip hydrodynamic boundary conditions are inadequate. By matching viscous hydrodynamic stresses outside a transition surfa…
The paper analyzes Riemann, or simple, waves in relativistic magnetohydrodynamics for a nonviscous, non-heat-conducting, perfectly conducting medium. Using auxiliary gas variables, it reformulates the relativistic MHD equations for two equations of state and derives the governing relations for one-d…
This paper develops an approximate treatment of hypersonic flow past plane wings at large angles of attack, using a simplified integral-relations formulation analogous to the shallow-water approximation for the thin compressed layer between the shock and the windward surface. The governing equations…
The paper gives a kinematic interpretation of a previously obtained solution for the motion of a rigid body with a fixed point, using dimensionless variables for the angular velocity and direction cosines. It derives the moving and fixed hodographs of the angular velocity, showing that the moving ho…
This paper examines why smokeless powder shows a sublinear dependence of burning rate on pressure at elevated pressures, unlike volatile nitroesters whose leading combustion reactions occur mainly in the gas phase. Constant-pressure bomb experiments in nitrogen at 10 to 100 atm compare smokeless pow…
This paper examines dynamic buckling of a circular cylindrical shell subjected to a central longitudinal impact at its free end, with the opposite end fixed. The authors separate, in first approximation, axial elastic wave propagation from shell buckling, estimate the time dependent mean axial stres…
This study investigates the onset and early development of plastic deformation in polycrystalline austenitic steel 1Kh18N9T using thin photoelastic epoxy coatings observed in polarized light. The method allowed local measurement of the magnitude and direction of principal strain differences within i…
This paper reports an experimental investigation of the stability of plane shock waves in condensed media and compares the development of imposed sinusoidal front perturbations with linear calculations for an ideal fluid. Using profiled disks, wedges, and optical streak recording, the authors measur…
This paper develops a method for determining the hydrodynamic friction coefficient in gas main pipelines without interrupting pipeline operation. Starting from previously derived transient pressure relations for valve closure, it shows that, under constant terminal flow rate and constant supply pres…
This paper develops a general approximate method for determining plane elastic waves in homogeneous crystals, where the exact problem normally requires solving a full cubic characteristic equation for each propagation direction. The method represents the elastic wave tensor as an isotropic part plus…
This paper develops a semi-momentless formulation for determining the thickness and internal forces of orthotropic cylindrical plastic shells under prescribed loading. By neglecting longitudinal bending and twisting moments, the yield condition is expressed in terms of longitudinal force, shear forc…
The paper reports experimental observations of annular waves forming on the free surface of a thin liquid film rotating along the inner wall of a cylindrical tube under the action of a swirling air flow. It describes the apparatus and the conditions under which an initially smooth film develops regu…
This paper develops a variational formulation for the flow of a thin plastic layer confined between approaching elastic bodies, where the pressure, layer thickness, and elastic displacements are coupled through a nonlinear system. It shows that the governing pressure equation is equivalent to an ext…
This paper develops an approximate method for determining the velocity and displacement of quasi-transverse elastic waves in an arbitrary crystal. The approach replaces the crystal, for a given propagation direction and chosen symmetry axis, by the closest transversely isotropic medium in a least-sq…
This paper develops a general analytical formulation for the spatial behavior of composite structures made of several connected elements with elastic, compliant joints distributed along their seams. Using assumed displacement functions across the transverse section, Hooke’s law, and Lagrange’s princ…
This paper analyzes capillary equilibrium and gas penetration in a porous body whose intersecting pores have variable cross section, extending earlier treatments that assumed constant pore radius. The porous structure is modeled probabilistically: supercritical pore branching and pore “death,” where…
This paper develops a method for deriving self-adjoint equilibrium equations for thin elastic shells of arbitrary configuration, addressing difficulties in extending earlier Love, Timoshenko, and Vlasov formulations to general shells with body forces. The approach starts from the three-dimensional e…
This paper studies periodic surface waves generated by a source with harmonically varying discharge located above a uniformly sloping bottom. Under assumptions of plane parallel potential flow and for bottom angles that are integral fractions of a right angle, the problem is reduced to a constant co…
The paper develops a continuum-mechanical model for the formation and propagation of a fracture shock wave produced by an explosion in a brittle medium. Assuming spherical symmetry, it treats the intact material ahead of the front as a linear elastic solid, the crushed material behind it as an incom…
This paper examines postcritical deformation in geometrically nonbendable elastic shells when the material has a finite elastic limit. It argues that loss of stability produces sharp edge-like singularities, and that if bending near such an edge causes plastic deformation, the local surface form bec…
This note analyzes the three-dimensional wave pattern generated on the free surface of a viscous incompressible fluid by a system of normal stresses moving uniformly along the surface. Using the linearized hydrodynamic equations, free-surface boundary conditions, and Fourier transforms, it derives a…
This note examines when axisymmetric postcritical deformations of spherical shells under axisymmetric loading remain stable, motivated by experiments in which circular dents or bulges become polygonal despite symmetric geometry and loading. Using an energy minimization approach over isometric transf…
This paper develops a framework for constructing stress strain relations for a broad class of complex continuous media built from elastic, viscous, and plastic deformation mechanisms. Using one-dimensional and two-dimensional dynamical models, it introduces an indexing scheme for combinations of mec…
