Theory of Elasticity
- Objective: To calculate stress and strains in materials using mathematical equations which should be established
- Geometrical theory of strain
Displacement function, definition of strains, the relation between strains and displacement function, Tensor characteristics of strain, Transformation of strain from one coordinate system to another, Principle strains, Spherical strains and strain Deviators
- Theory of stress, definition of stress, Different type of stress, graphical representation of stress, Stress Tensor, Differential equation of equilibrium, boundary condition, Transformation of stress, Principle stress and Principle plane
- generalized Hooks law
Linear and Non-linear materials
General form of linear materials
Orthotropic and Cubic materials
Isotropic Materials
- Elementary examples of 3D elasticity problems
Including Bending, Torsion, Tension
- Two dimensional problems in Cartesian coordinate system
- Two dimensional problem in polar coordinate system
- Torsion of prismatic shaft (non-circular), Semi-inverse method of Saint-Venant, Prandtle method, Torsion of Thin-walled shafts, Torsion of open and closed thin-walled members, Torsion of ship structures, calculation of torsional stress in a ship