1 
Name of the discipline 
Nonclassical thin shell theory 
2 
Grade level, specialty 
1, specialty “mechanics and mathematical modeling” 
3 
Semester of studying 
2 
4 
Amount of credits 
4 
5 
Full name of the lecturer 
Doctor of Phys.Math. Sciences, Professor Mihasev GI 
6 
Objectives of studying the discipline 
The aim of the course is to get acquainted with nonclassical thin shell theory, including highorder theories taking into account transverse shifts, the theory of thin layered shells, and shell theories based on the gradient distribution of material properties. As a result of the study, the master student should be able to: formulate the main hypotheses underlying the various theories, write out the equations of the physical state, put the marginal and initialboundary problems within the framework of a particular theory. 
7 
Prerequisites 
Mechanics of continuous media (elasticity theory). Strength of materials. Equations of mathematical physics. The theory of oscillations and stability of thinwalled shells. 
8 
Contents of the discipline 
The shell theory, based on the hypotheses of KirchhoffLove. The shell theory, based on the hypotheses of Tymoshenko. Generalized kinematic hypotheses of Tymoshenko for multilayer shells. Hypotheses of a broken curve, kinematic hypotheses of higher order. Equations of motion of multilayer shells, based on the equivalent theory of singlelayer isotropic shells with allowance for transverse shifts. Equations of motion of thin layered shells containing layers made of composite “intelligent” materials (electro, magnetorheological elastomers and liquids). The shell theory with a gradient in thickness distribution of material properties. Solution of problems on oscillations and waves in thin shells within the framework of nonclassical theories. 
9 
Recommended literature 

10 
Teaching methods 
Lectures, laboratory exercises 
11 
Language of studying 
Russian 
12 
Conditions (requirements) 
Evaluation in the exam is set taking into account: 60% – laboratory work, seminars, individual work 40% – oral answer in the exam 
13 
Form of current certification 
Exam 