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 develops a model for elastic-plastic media under variable cyclic loading in which material response depends not only on the number of loadings but also on stress amplitude through an accumulated damage function. Within both deformation theory and a simple flow theory, the author introduces…
This paper addresses the integration of a twelfth order elliptic system arising in Vekua’s refined theory of elastic equilibrium of plates, in which transverse fiber elongation is retained rather than suppressed as in the Kirchhoff Love approximation. Building on the known homogeneous solution, it d…
This paper applies the principle of maximum stability of averaged turbulent flows to determine the turbulent friction law in the core region of channel flow. Using a generalized Prandtl-Taylor representation with a constant near-axis mixing length, the authors reduce the mean velocity profile to a p…
This paper studies steady finite-amplitude surface waves in an ideal incompressible heavy fluid of finite depth, generated by a prescribed periodic pressure distribution on the free surface. Using conformal mapping of one wavelength of the flow region to an annulus, Bernoulli’s condition is reduced …
This note justifies an asymptotic method for a boundary value problem for the biharmonic equation arising in the pure cylindrical bending of a thin simply supported rectangular plate. After scaling the transverse variable by the small thickness parameter, the solution is constructed through an itera…
This paper applies Bellman dynamic programming to nonlinear static problems for thin elastic rods formulated as minimization of potential energy. For a cantilever curved flexible rod under distributed moments and forces of varying magnitude and direction, the rod tangent angle is treated as the stat…
A statistical boundary-value problem in thermoelasticity is formulated for a macroscopically homogeneous, quasi-isotropic two-component medium with isotropic constituents and random component distribution described by moment functions. For uniform cooling in the absence of external forces, the autho…
This paper develops a bending theory for symmetric anisotropic three-layer elastic plates whose outer layers have identical properties and whose core may be either stiff or light. Using curvilinear coordinates, Love-Kirchhoff assumptions for the face layers, moderate-thickness plate theory for the c…
This paper examines hydraulic resistance during the flow of clay solutions in pipes with permeable walls, a condition relevant to borehole annular spaces and not covered by earlier studies of impermeable pipes. The authors discuss why changes in total flow rate and in structural mechanical propertie…
This note examines postcritical elastic equilibrium of a closed spherical shell under external pressure, restricting attention to axisymmetric deformations after loss of stability. Using a variational principle for isometric transformations of the shell middle surface, the deformation is represented…
This paper calculates the diffusion-slip velocity of a binary gas mixture near a solid plane wall when a tangential concentration gradient is present. Unlike earlier treatments that assumed incident molecular distributions in the Knudsen layer remain equal to bulk distributions, the authors solve li…
This paper analyzes the spatial motion of an axisymmetric body whose center of mass is displaced from the symmetry axis and whose center of mass moves uniformly in a straight line. Using Euler equations with aerodynamic restoring and damping moments, it derives energy and angular momentum relations …
The paper formulates a linearized potential-flow problem for the velocity field generated when small surface vibrations propagate over a finite wing moving rectilinearly in an ideal compressible medium at supersonic speed. Using an integral representation for the solution of the governing hyperbolic…
This paper investigates the flow regime of liquids in glass capillaries with radii from 0.01 to 0.1 micrometers, where previously observed capillary uptake rates exceeded Washburn equation predictions. Using measurements of meniscus velocity as functions of distance, pressure, and capillary radius f…
This paper examines the relationship between acoustic noise and material erosion in hydrodynamic cavitation, treating both as consequences of bubble distribution, number, and collapse dynamics. The authors analyze published erosion measurements and conduct experiments on cavitation noise generated b…
This note develops a successive approximation method for nonlinear ordinary differential equations describing relaxation in nonequilibrium gases with internal degrees of freedom. The method rewrites the Cauchy problem as integral equations and normalizes each iterate so that the particle number cons…
This paper studies Lamé problems in an isotropic gradient theory of elasticity, where the free energy depends on both strains and strain gradients and the equilibrium equations therefore require additional boundary conditions. For an infinitely long tube and a spherical shell under uniform internal …
This paper analyzes the axisymmetric response of an elastic shallow spherical shell immersed in an ideal compressible fluid to a plane step shock pressure wave. The shell is attached along its circular contour to a rigid spherical screen through an elastic rib, and the formulation combines linear sh…
The paper develops an algebraic framework for Volterra integral operators used in linear viscoelasticity, especially for models with continuous relaxation or retardation spectra where explicit resolvent construction may be difficult. It proves general multiplication, inversion, and power formulas fo…
This paper studies the equations of motion for a heavy rigid body moving in an infinite incompressible ideal fluid, allowing multiply connected cavities filled with vortex-free ideal fluid and including cyclic fluid motion. Starting from Chaplygin-type equations expressed through the impulsive force…
This paper analyzes the parametric instability of a liquid surface in a homogeneous alternating electric field normal to the interface. Using linear stability theory for a viscous incompressible liquid with a conducting or high-permittivity boundary condition, the authors derive an equation for surf…
This paper examines the gas dynamic stability of plane detonation waves for arbitrary heat release kinetics, motivated by cases where Arrhenius temperature dependence is not an adequate description. The authors propose a stepwise model of the detonation zone, representing it as an initiating shock f…
This paper reformulates the equations for isothermal two-phase filtration of incompressible immiscible fluids in an inhomogeneous porous medium, including relative permeabilities, capillary pressure, gravity, and density differences. By taking either phase pressure and saturation as unknowns, the au…
This paper studies wave adiabats for gases or liquids with nonconvex, anomalous equations of state, where the usual entropy increase condition is insufficient to select admissible shock states. It proposes stability and continuity requirements, states several theorems on the local structure, monoton…
The paper examines the accuracy of the Kirchhoff-Love hypothesis for calculating critical buckling forces in elastic stability problems. Using three-dimensional linearized equations of the nonlinear theory of elasticity, it analyzes a thick orthotropic plate compressed in one direction and derives a…
This paper analyzes the one-dimensional unsteady expansion of an ideal gas cloud ejected from a gravitating body, treating the cloud as small enough that its motion can be decomposed into center-of-mass motion and expansion relative to that center. Using gas-dynamic equations with a time-dependent N…
The paper examines the unexpectedly large length of the nonequilibrium ionization relaxation zone behind strong shock waves in air at velocities near 9 to 10 km/sec. The authors numerically solve coupled kinetic equations for dissociation, nitric oxide chemistry, ionization by heavy particles and el…
This paper proposes a variational principle for averaged turbulent flows, replacing Malkus’s neutral stability and maximum dissipation hypothesis with a criterion of maximum stability against the most slowly decaying disturbance. For a plane channel, the author formulates the problem through the Orr…
The paper derives sufficient instability criteria for detonation waves using a multistage model of chemical reaction zones. By analyzing the characteristic determinant for perturbations, the authors separate the short relative wavelength case into equations for individual fronts and obtain bounds on…
This paper applies an optical correlation method to measure the longitudinal turbulence component in a cold air jet, extending an approach previously used for plasma flows. A schlieren system observes density-marked flow produced by a heated wire, and signals from two nearby image points are recorde…
This paper examines diffraction effects that affect measurements of ultrasonic velocity and absorption when plane radiators are treated by one-dimensional wave methods. It develops a calculation method based on representing the radiator field as packets of normal waves, with the apparatus spectrum a…
This paper examines aerodynamic heating of blunt bodies in hypersonic air flow when radiation transfer is coupled to the gas dynamics rather than treated as a separate postprocessing correction. The authors formulate and solve equations near the stagnation line including viscosity, thermal conductiv…
This paper analyzes the dynamic stability and vibration of three-layer panels or beams subjected to supersonic gas flow. Starting from the small-vibration equation for a sandwich plate and using linear piston theory for the aerodynamic load, the study reduces cylindrical bending to a sixth-order ord…
This paper analyzes the supersonic flutter of finite three-layer plates using previously derived elastic equilibrium equations that account for bending stiffness of the load-bearing layers, shear stiffness of the core, inertia, in-plane loads, and aerodynamic loading. Assuming piston-theory aerodyna…
The paper addresses the computation of gas transport coefficients in situations where experimental determination or direct solution of the Boltzmann equation is difficult, especially when molecular internal processes are treated mechanically. It proposes a Monte Carlo mathematical experiment that fo…
This paper analyzes high-rank moments of the molecular distribution function in a weakly rarefied gas near local equilibrium. Using a Hermite polynomial expansion and the 56-moment system of equations for small Knudsen numbers, it solves the linearized relations for second, third, fourth, and fifth …
This paper treats an axially symmetric elasticity problem for an infinite elastic space cut along part of a spherical surface. Using Trefftz displacement potentials and analytic functions of a complex variable, the authors derive integral representations for displacements and stresses and reduce the…
This paper analyzes the velocity field generated when a finite-amplitude plane shock wave strikes a stationary thin body symmetric about a plane in an unbounded compressible medium. Under small perturbation and irrotational-flow assumptions, the problem is linearized and formulated for the velocity …
This paper examines how gas-forming additives placed at the source of a spark-discharge electric explosion affect wave motion in dry, weakly cohesive sand, and compares the results with chemical explosive tests. Soil mass velocity was measured by an induction method at varying distances, with reduce…
This note examines how imperfect or insufficiently rigid edge fixing can lower the critical external pressure for loss of stability in shallow strictly convex shells. Using a variational formulation for shell buckling under distributed pressure and edge forces, it derives an inequality relating crit…
This paper develops an analytical scheme for determining stresses and displacements in a multilayer elastic half-space subjected to normal and tangential strip loads on its surface under plane deformation. Using a biharmonic stress function represented by Fourier integrals, the author derives expres…
This note studies postcritical elastic states of strictly convex shells subjected to a prescribed load in the presence of a through-thickness heat flux normal to the middle surface, with isothermal equidistant layers and arbitrary temperature distribution. Using Pogorelov’s variational formulation f…
This paper presents a computational study of supersonic spatial flow at angles of attack around an axisymmetric segmental body approximating a rounded spherical sector. Using previously developed methods for subsonic and supersonic regions, the authors calculate ideal gas flow with adiabatic exponen…
This paper analyzes turbulent velocity fluctuations in the viscous sublayer near a smooth wall by linearizing the Helmholtz form of the Navier, Stokes equations for an incompressible turbulent flow. Using a two dimensional Fourier transform and assuming a linear mean velocity profile in the near wal…
This paper studies steady near-sonic axisymmetric flow past a finite body of revolution in a viscous heat-conducting gas, using an approximate system intended to model qualitative features of the Navier-Stokes equations. The solution is constructed as a functional series in inverse powers of distanc…
This note formulates differential equations for filtration of gas condensate systems in porous reservoirs while accounting for both liquid condensate formation and sorption processes. Under assumptions of thermodynamic equilibrium, ideal gas behavior, isothermal Darcy flow, immobile condensate below…
This paper derives second-approximation equations for the asymptotic damping of small disturbances in axisymmetric flow of a viscous, heat-conducting gas past bodies of revolution, allowing both sonic and supersonic incident speeds. Starting from the continuity, Navier-Stokes, and heat-transfer equa…
This paper investigates turbulent heat transfer in nonisothermal air flow in a smooth vertical pipe by determining correlations between velocity and temperature pulsations. Experiments at Reynolds number about 32,000 used hot-wire anemometry with varied wire orientation and overheating to measure ve…
This paper derives formulas connecting the coefficients of a generalized elastic energy density, including dependence on strain gradients, with microscopic force constants of a crystal lattice. Starting from the Born model of a simple lattice in the harmonic approximation, the discrete lattice descr…
