SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 13 of 813 papers in Mechanics
This paper formulates and solves a self-similar problem for a strong spherical point explosion in a perfect gas with heat conduction, neglecting the initial pressure and assuming a thermal conductivity proportional to the square root of temperature. The gas-dynamic equations, an energy integral, sho…
This paper treats the linearized problem of a point explosion in a perfect gas when the initial back pressure is retained and the undisturbed density varies as a power of radius. Using Sedov’s self-similar zero-pressure solution for a special relation between the density exponent and the adiabatic i…
This paper develops a perturbation method for approximate elastoplastic solutions in ideal plasticity, expanding stresses and unknown boundaries in powers of a small parameter. For plane strain and plane stress, it derives successive conditions from the Mises and Saint-Venant yield criteria, lineari…
This paper formulates inverse boundary-value problems for the nonlinear theory of thin shallow shells. Starting from the governing equations for deflection and stress function, it distinguishes problems in which the initial shell form is sought for a prescribed final shape and loading, and problems …
This paper solves the hydromechanical problem of the motion of a flat plate of infinite span near the free surface of an ideal weightless liquid. Using Kirchhoff’s method, it constructs a parametric representation of the flow for cases in which the upper surface of the plate is partly or completely …
This paper gives an exact closed form solution for Kirchhoff separated flow of an ideal incompressible fluid past a two parameter family of symmetric curves in a channel bounded by two parallel walls. The author defines the family of curves, derives expressions for their curvature, arc length, endpo…
This paper studies the gas motion produced by a point explosion in a homogeneous gas when the initial ambient pressure can no longer be neglected. It develops an approximate solution by expanding the one-dimensional unsteady gas-dynamic equations in powers of a parameter depending on the ratio of sp…
This paper treats a plane elasticity contact problem in which a rigid flat punch presses on an elastic half-plane containing a symmetrically placed circular hole near the contact region. Using Kolosov-Muskhelishvili complex potentials and a modification of Sherman’s method, the doubly connected doma…
This note applies methods of Levitan and Marchenko to the spectral matrix of a self-adjoint elasticity operator generated by the three-dimensional differential operation involving the elastic Laplacian on a bounded domain. Using the Cauchy problem for the elastic wave equation, its local integral re…
This paper examines the stability of a nonvertical stationary motion of an axisymmetric rigid body suspended from an absolutely flexible, massless string and rotating with constant angular velocity about a vertical axis. Using Lagrange equations with generalized coordinates describing the string and…
This paper studies stationary rotations of a heavy rigid body with one fixed point when the center of gravity lies on a principal axis and the principal moments of inertia are distinct. Using the cyclic precession coordinate, it derives the Routh function, obtains conditions for permanent rotations …
The paper studies the plane supersonic outflow of gas from a symmetric nozzle under design conditions, restricting attention to shock-free flow and the possible periodicity of the resulting free jet. Using characteristic variables, it compares several approximate analytical representations of the Ch…
This note examines how the mathematical type of plane plasticity equations depends on the form of the plasticity condition in plane strain and plane stress. Writing the condition as a relation between stress invariants, the author derives the characteristic condition for the equilibrium equations an…
