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 Scheda Riassuntiva
 Anno Accademico 2018/2019 Scuola Scuola di Ingegneria Civile, Ambientale e Territoriale Insegnamento 092848 - ADVANCED COMPUTATIONAL MECHANICS Docente Novati Giorgio Cfu 6.00 Tipo insegnamento Monodisciplinare

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento
Ing - Civ (Mag.)(ord. 270) - MI (488) INGEGNERIA CIVILE - CIVIL ENGINEERING*AZZZZ092848 - ADVANCED COMPUTATIONAL MECHANICS
Ing Ind - Inf (Mag.)(ord. 270) - MI (491) MATERIALS ENGINEERING AND NANOTECHNOLOGY - INGEGNERIA DEI MATERIALI E DELLE NANOTECNOLOGIE*AZZZZ092848 - ADVANCED COMPUTATIONAL MECHANICS

 Obiettivi dell'insegnamento
 After presenting an overview of the Finite Element Method for linear problems (for solid and structural mechanics, and for heat transfer analysis), the course focuses on the application of FEM to nonlinear problems (geometrical and material nonlinearities) using iterative (and incremental/iterative) solution procedures. Special attention is devoted to rate-independent elastoplasticity. Subsequently, examples of coupled problem analyzed by the FEM are also described. Finally a concise introduction to integral equation techniques is given. Each topic is treated both theoretically and practically through illustrative numerical solutions of significant problems.

 Risultati di apprendimento attesi
 Lectures and exercise sessions will allow students to: - understand typical computational procedures adopted to simulate the mechanical behaviour of solids and structures in linear and nonlinear contexts; - develop small codes (in Matlab) for the solution of simple nonlinear problems; - use commercial Finite Element codes with full awareness of the modelling/algorithmic assumptions which are being used.

 Argomenti trattati
 Review of the FE method (displacement approach) applied to linear elastic problems in solid and structural mechanics. Formulation of some "potential problems" in 2D (heat transfer, taut membrane under a transverse loading, flow in porous media, torsion in bars) and derivation of the FE equations. Multi-point constraints, using Lagrange multipliers or penalty method. Operative aspects of the use of a general-purpose finite element code. Non-linear FE analyses (material/geometric nonlinearities); iterative (Newton-Ralphson) and incremetal strategies. Example of geometrically nonlinear problems: cables and cable-nets. Examples of simple systems with nonlinear elastic constitutive law. Knowledge and use of some matlabe codes made available by the instructors.   Elastic-plastic analysis of solids and structures (von Mises elastoplasticity, linear hardening); finite-step problem in 1D and 2D/3D context; solution of example problems. Examples of coupled problems by the FE method. Boundary element method for linear problems. "Potential problems" and elastostatics: fundamental solutions and generation of the integral equations, discretization, zone-wise techniques, examples of applications.

 Prerequisiti
 A basic knowledge of the finite element method for linear problems is assumed.

 Modalità di valutazione
 At the end of the course there will be a written exam: students have to answer questions taken at random from a predefined list of questions. Each student has also to carry out an in-depth study on two topics among those dealt with in the course, writing a report which contains some computational work.

 Bibliografia
 R.D. Cook, D.S. Malkus, M.E. Plesha, R.J. Witt, Concepts and applications of finite element analysis (4th edition), Editore: Wiley, Anno edizione: 2001, ISBN: 978-0471356059 O.C. Zienkiewicz et al., The finite element method (volume 1 - volume 2 - volume 3) (6th edition), Editore: Butterworth-Heinemann, Anno edizione: 2005, ISBN: 978-0750663212 A. Corigliano, A. Taliercio, Meccanica computazionale - Soluzione del problema elastico lineare, Editore: Esculapio, Anno edizione: 2005, ISBN: 8874881886 K.-J. Bathe, Finite element procedures, Editore: Prentice Hall, Anno edizione: 1995, ISBN: 978-0133014587 T. Belytschko, Nonlinear Finite Element for Continua and Structures, Editore: Wiley, Anno edizione: 2000, ISBN: 0471987743 M.H. Aliabadi, The Boundary Element Method (Vol.2) - Applications in Solids and Structures, Editore: Wiley, Anno edizione: 2002, ISBN: 0470841397 L.C. Wrobel, The Boundary Element Method (Vol.1) - Applications in Thermo-Fluids and Acoustics, Editore: Wiley, Anno edizione: 2002, ISBN: 0471720399

 Forme didattiche
Tipo Forma Didattica Ore di attività svolte in aula
(hh:mm)
Ore di studio autonome
(hh:mm)
Lezione
39:00
58:30
Esercitazione
21:00
31:30
Laboratorio Informatico
0:00
0:00
Laboratorio Sperimentale
0:00
0:00
Laboratorio Di Progetto
0:00
0:00
Totale 60:00 90:00

 Informazioni in lingua inglese a supporto dell'internazionalizzazione
 Insegnamento erogato in lingua Inglese Disponibilità di materiale didattico/slides in lingua inglese Disponibilità di libri di testo/bibliografia in lingua inglese Possibilità di sostenere l'esame in lingua inglese Disponibilità di supporto didattico in lingua inglese

 Note Docente
 schedaincarico v. 1.6.6 / 1.6.6 Area Servizi ICT 02/08/2021