Università Roma Tre

Variational formulation of the elasto-static problem: Concepts of Continuum Mechanics, Total Potential Energy, Euler-Bernoulli beam model. Analytical solution, Total Potential Energy, Approximated variational solutions.
Instability of elastic equilibrium: Discrete mechanical systems. Beams with distributed elasticity.
Timoshenko beam model: Formulation of the model, Shear correction factor, Analytical solution, Total Potential Energy, Approximated variational solutions.
Slab model: Plane strain and plane stress conditions, Governing equations, Total Potential Energy, Approximated variational solutions.
Kirchhoff-Love plate model: Formulation of the model, Total Potential Energy, Approximated variational solutions: Mindlin-Reissner plate model: Formulation of the model, Total Potential Energy, Approximated variational solutions.
Introduction to the finite element method.
Finite element method (1D problems): Truss, E-B beam, Shear deformation beam, Locking.
Finite element method (2D problems): Triangular elements for slab, Isoparametric elements for slab, Four-noded elements for slab.

Capurso M.,Lezioni di Scienza delle Costruzioni,Pitagora Editrice, 1984.
E. Sacco "Appunti del corso di Meccanica delle Strutture".
Reddy: An introduction to the finite element method, McGraw-Hill, 1994.
Zienkiewicz & Taylor: The finite element method, Vol. 1,2,3, Butterworth-Heinemann, 2000.
Crisfield: Non-linear finite element analysis of solids and structures, John Wiley & Sons, 1991.