Learning Outcomes
Upon successful completion of the module students will:
- understand the basic concepts of the finite element method.
- be able to explain the fundamentals of finite element analysis for structural (buildings) and geotechnical problems
- be familiar with the use of FE analysis programs
- be able to model a two-dimensional or three-dimensional structure using 1D finite elements.
- be able to model a geotechnical problem using 2D plane strain elements.
- be able to calculate the stiffness matrix and the load vector.
- be able to calculate displacements and stresses.
- be able to assess the validity and accuracy of the numerical results
Course Content (Syllabus)
Introduction to the Finite Element method (FEM). Formulation of the Direct Stiffness and Finite Element methods for the analysis of structures. Specific topics include: Degrees of freedom, load and displacement vectors, one-dimensional element stiffness matrices, assembly of global stiffness matrix for two- and three-dimensional structures, solution of FE equations, calculation of displacements and element forces. Application of FE analysis to structural problems
Plane strain finite elements. Geotechnical boundary conditions. Consideration of effective stresses and pore pressures. Simple soil constitutive models. Post-processing. Application of FE analysis to geotechnical problems (foundations, excavations, embankments, retaining walls, underground structures).
Keywords
Finite element method for structural analysis, Direct stiffness method, FE modelling of structures, Plane strain finite element method, application of FE analysis to geotechnical problems
Course Bibliography (Eudoxus)
Βιβλίο [59369378]: Η ΜΕΘΟΔΟΣ ΤΩΝ ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ, ΑΒΡΑΜΙΔΗΣ Ι., ΑΘΑΝΑΤΟΠΟΥΛΟΥ Α., ΜΟΡΦΙΔΗΣ Κ.
Βιβλίο [13937]: ΥΠΟΛΟΓΙΣΤΙΚΗ ΓΕΩΤΕΧΝΙΚΗ ΜΗΧΑΝΙΚΗ: ΑΛΛΗΛΕΠΙΔΡΑΣΗ ΕΔΑΦΟΥΣ - ΚΑΤΑΣΚΕΥΩΝ, ΑΙΜΙΛΙΟΣ Μ. ΚΩΜΟΔΡΟΜΟΣ
Βιβλίο [50658954]: Ανάλυση Ραβδωτών Φορέων με Μητρωικές Μεθόδους- Μέθοδος Αμεσης Στιβαρότητας, Παπαδρακάκης Μ. Σαπουντζάκης Ε.Ι.