Theory of Disks and Shells

Historical review. Elasticity theory and analysis of real structures. The general equations of elasticity. Fundamental elasticity problems. Application on real structures. Boundary conditions. Strain compatibility conditions. Applications. Compatibility of deformations conditions. Applications. Calculation of deformations. The planar stress-strain problems. Approximate methods of solution (finite differences, Fourier series and integrals, energy methods). Problem solution in polar and skew coordinates. Orthotropic and variable thickness disks. Problems on pre-stressed disks. Orthogonal-triangular elements on point supports (finite elements). Computer aided problem solution of plane elasticity. Examples of application on real structures. Method comparison. Membrane theory of shells. Shell generation by surface rotation. Introduction to the bending theory of shells. Applications.