5 semester


Name of the discipline

Continuum mechanics


Course of study, specialty

3, specialty “mechanics and mathematical modeling”


Semester of training



Amount of credits



FULL NAME. lecturer

Doctor of Phys.-Math. Sciences, Professor Mihasev GI, Cand.of  Phys.-Math. Sciences, Associate Professor Konon PN


Objectives of studying the discipline

The aim of the course is to study the models, methods and methods for solving the problems of all the sections of continuum mechanics.

 As a result of the study, the student should be able to:

–         use the basic equations of continuum mechanics in the formulation of specific educational and applied problems;

–         apply knowledge in the field of differential and integral equations, the theory of functions of a complex variable in the solution of these problems;

–         apply approximate, asymptotic and numerical methods for solving the problems of mechanics of a deformable solid



Theoretical Mechanics


Contents of the discipline

– Plane problems in the theory of elasticity. Flat stress and flat deformation. Two-Dimensional Static Problems of the Theory of Elasticity in Polar Coordinates.

  – Bending and stability of thin plates.

  – Wave motion of a continuous medium.

  – Hydrostatic.

  – Ideal liquid. The Euler equation and its integrals. Flat currents. Vortex motion.

  – Viscous fluid flows. Exact solutions of the Navier-Stokes equations. Bases of boundary layer theory. Fundamentals of the theory of hydrodynamic stability and the theory of turbulence.


Recommended literature

1.     Morozov N.F. Lectures on selected issues of continuum mechanics. – L.: Publishing house leningr. University, 1975.

2.     Atanatskovich T., Guran A., Lectures on the theory of elasticity (edited by AL Smirnov and PE Tovstika), St. Petersburg State University, 2003.

3.     Lurie A.I. Theory of elasticity. – Moscow: Nauka, 1980, 940 p.

4.     Muskhelishvili NI, Some basic problems of the mathematical theory of elasticity. – Moscow: Nauka, 1966, 634 p.

5.     Vasizu Quitri. Variational methods in the theory of elasticity and plasticity. – Moscow: Mir, 1987, 542 p.

6.     Ishlinsky A.Yu., Ivlev D.D. Mathematical theory of plasticity. – Moscow: Fizmatlit, 2001. – 704 p.

7.     Continuum mechanics in problems. Ed. M.E. Eglith. – Moscow: Moscow Lyceum, vols. I – II, 1996.


Teaching Methods

Lectures. Practical lessons. Individual tasks. Test papers


Language of instruction



Conditions (requirements)

The score on the exam is set taking into account:

40% – work in practical classes, 60% – verbal response in the exam.


Forma of the current certification

Examination, credit