Abstract:

The main topics of the course are vector algebra, static particles,

the equivalent system of forces, the equilibrium of rigid bodies, the analysis of frames and machines,

Abstract:

In the course, mathematical models of elastic problems

will be introduced. First, a mathematical toolbox required

to solve such problems will be given: Index notation, tensor algebra,

coordinate transformation. Next, the foundations

of elasticity will be explored: traction and stresses,

equilibrium equations, deformations and strains, compatibility equations,

principal stresses and strains, constitutive equations for

isotropic and anisotropic materials. Then, the formulation of

elastic problems will be developed: displacement formulation

(Navier-Lamme equations), stress Formulation (Beltrami-Michell equations),

plane stress and plane strain, Airy Stress func tion. Finally