Civil Engineering

PART I: DISCRETIZATION METHODS FOR CONTINUUM PROBLEMS - Differential, integral and variational formulations for continuum problems - Finite difference methods - Ritz-Galerkin methods PART II: THE FINITE ELEMENT METHOD FOR LINEAR ELASTIC STRUCTURAL PROBLEMS - C0 continuity problems - Finite elements for Euler-Bernoulli and Timoshenko beams; modelling of nonlinear constitutive response - Finite Element formulation: governing equations, weighted residual approach, variational approach - Finite Element formulation for dynamic applications: mass matrix and integration methods of equations of motions - Finite elements for plane problems: triangular elements, rectangular elements (Lagrangian, Serendipity) - Isoparametric elements with rectilinear and curvilinear boundaries. - Finite elements for 3D problems - Finite elements for axy-symmetric structures - Numerical Gauss integration - Finite elements for Kirchhoff and Mindlin plates - Plane elements for shells PART III: FEM APPLICATIONS -Structure of a Computer Code for FEM analysis -Use of MATLAB and SAP to perform structural analyses by the FE method.

The course requires basic skills in linear algebra, solid mechanics, structural mechanics and theory of structures. In particular, knowledge of the following topics are required: - vector and matrix algebra - 2D and 3D continuum mechanics - beams formulation

Lecture notes. Lecture slides and other information will be available at https://sites.google.com/a/uniroma1.it/danielaaddessi/insegnamenti. Books: The Finite Element Method, 6th ed., Vols. 1, 2. O.C. Zienkiewicz and R.L. Taylor, Elsevier, Oxford, UK, (books.elsevier.com).

Teaching activities mainly consist of frontal classes at chalkboard (2/3 of the lectures). Classroom tutorials are also provided using computer to show applications and examples and Finite element codes (MATLAB and SAP) to solve structural problems (1/3 of the lectures).

Class atendance is optional but recommended.

Oral final examination concerning the course theoretical fundamentals and evaluation of final projects on the FE analysis of structural problems, performed by FE codes.

K.J. Bathe, Finite Element Procedures in Engineering Analysis , Prentice Hall T.J.R. Hughes, The Finite Element Methods, Linear Static and Dynamic Finite Element Analysis, Dover Publications Inc. J.N. Reddy, An Introduction to the Finite Element Method, McGraw Hill

Teaching activities mainly consist of frontal classes at chalkboard (2/3 of the lectures). Classroom tutorials are also provided using computer to show applications and examples and Finite element codes (MATLAB and SAP) to solve structural problems (1/3 of the lectures).