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## From the “Nonlinear tensor functions of several tensor arguments” by Sedov

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## From the “Introduction to the theory of plane problems of the theory of elasticity and theory of cracks” by Sedov

- Flat problems of the theory of elasticity
- Stress concentration
- The theory of cracks

## From the “Theory of Plasticity” by Sedov

- Some effects arising from the deformation of solids and not described in the framework of the model of an elastic body
- Residual deformations. Loading surface
- The main defining relations in the theory of plastic bodies
- Examples of models of plastic bodies
- The problem of torsion of a cylindrical rod of elastic plastic material without hardening

## From the “Theory of Elasticity” by Sedov

- Introductory remarks
- The model of the elastic body
- Problems of uniaxial tension of an elastic beam
- Deformations and stresses arising in a round pipe made of elastic material under the action of internal and external pressures (Lame problem)
- Statement of problems of the theory of elasticity. Clapeyron equation. The uniqueness theorem for solving problems in the theory of elasticity. The principle of Saint-Venant
- The problem of beam bending
- Torsion of cylindrical rods
- Methods of resistance of materials in problems of beam bending
- Variational methods in the theory of elasticity
- Elastic waves in an isotropic medium

## From the “Hydromechanics” by Sedov

- Hydrostatics
- The general theory of steady motions of ideal liquids and gases. Bernoulli Integral
- Bernoulli integral for an incompressible heavy fluid
- The phenomenon of cavitation
- Bernoulli integral for adiabatic flows of a perfect gas
- The effect of compressibility on the shape of current tubes. Elementary Laval nozzle theory
- The application of integral relations to the finite volumes of the material medium with steady motion
- Interaction of liquids and gases with streamlined bodies during steady motion
- The main units of hydrodynamic and gas machines
- The main elements of the theory of jet thrust
- Potential flows of an ideal fluid. Cauchy-Lagrange integral
- Potential motions of incompressible fluid. Properties of harmonic functions
- The problem of the motion of a sphere in an unlimited volume of an ideal incompressible fluid
- The kinematic problem of the motion of a rigid body in an unlimited volume of an ideal incompressible fluid
- Energy, momentum, angular momentum of a liquid when a solid is moving in it and the basis of the theory of attached masses
- Forces of action of an ideal fluid on a body moving in an unlimited mass of fluid
- Gas movements with small perturbations
- Propagation of plane waves of finite amplitude (Riemann waves)
- The movement of the ball inside a viscous incompressible fluid
- The movement of an incompressible viscous fluid in cylindrical pipes
- Turbulent fluid motion
- The equations of the laminar boundary layer
- The boundary layer when flowing around an incompressible fluid flat plate. Blazius problem
- Some important effects of the motion of a viscous fluid in a boundary layer
- Determination of the velocity field from given vortices and sources
- Important examples of vortex fields
- The dynamic theory of cylindrical vortices
- The motion of a system of continuously distributed vortices in an ideal fluid
- Diffusion of vortices in a viscous incompressible fluid

## From the “Formulation of problems in continuum mechanics” by Sedov

- General framework for the formulation of specific tasks
- Typical simplifications in the formulation of some problems associated with a decrease in the number of independent variables
- Linearization of equations and problems of continuum mechanics
- Conditions on surfaces of strong discontinuities
- Strong discontinuities in the electromagnetic field
- Tear surfaces inside ideal compressible media
- Dimensions of physical quantities and \Pi-theorem
- Parameters defining the class of phenomena and typical examples of application of the methods of dimensional theory
- Similarity and modeling of phenomena

## From the “Basic concepts and equations of electrodynamics” by Sedov

- The basic concepts of electrodynamics. Electromagnetic field. Maxwell’s equations in void
- Maxwell’s equations in Minkowski space
- Lorentz transformations and inertial reference systems
- The interaction of the electromagnetic field with conductors
- Interaction of an electromagnetic field with bodies taking into account polarization and magnetization
- Magnetic hydrodynamics
- The laws of freezing magnetic and vortex lines

## From the “Closed systems of mechanical equations for the simplest models of continuous media, and some information from tensor analysis” by Sedov

- Ideal liquid and gas
- Linear elastic body and linear viscous fluid
- Examples of equations in curvilinear coordinate systems and additional information from tensor analysis

## From the “Dynamic concepts and dynamic equations of continuum mechanics” by Sedov

- The continuity equation
- The equations of motion of a continuous medium
- Equations of angular momentum
- The main axes and the main components of the symmetric stress tensor