Ελληνικά

Advanced Mechanics of Materials

Course Description:

Elements of Tensor Analysis. Elements of Variational Calculus. Traction. Stress Tensor. Balance Laws. Equations of Motion and Equations of Equilibrium. Symmetry of Stress Tensor. Strains and Rotations. Equations of Compatibility. Constitutive Elasticity Equations. Strain Energy. Generalized Hooke’s Law. Anisotropy – Isotropy. Navier-Cauchy Equations and Beltrami-Michell Equations. Boundary Conditions. Boundary Value Problems. Energy Theorems and Methods. Rayleigh-Ritz Method. Two-Dimensional Problems. Plane Strain and Plane Stress. Airy’s Stress Function. Self-Similar Problems. Flamant-Boussinesq and Kelvin Problems. Exact Theory of Torsion. Prandtl’s Stress Function. Bending Problems.