
Risorsa bibliografica obbligatoria 

Risorsa bibliografica facoltativa 

Anno Accademico

2017/2018

Scuola

Scuola di Ingegneria Industriale e dell'Informazione 
Insegnamento

097541  COMPUTATIONAL BIOMECHANICS LABORATORY

Docente 
Votta Emiliano

Cfu 
5.00

Tipo insegnamento

Monodisciplinare

Corso di Studi 
Codice Piano di Studio preventivamente approvato 
Da (compreso) 
A (escluso) 
Insegnamento 
Ing Ind  Inf (Mag.)(ord. 270)  MI (471) BIOMEDICAL ENGINEERING  INGEGNERIA BIOMEDICA  *  A  ZZZZ  097541  COMPUTATIONAL BIOMECHANICS LABORATORY 
Programma dettagliato e risultati di apprendimento attesi 
Aim
The course introduces to the numerical techniques currently adopted for the design and evaluation of biomedical devices and to the assessment of physiopathologic states and surgical procedures. Within the course, the student will practice with two standard commercial codes aimed at structural and fluiddynamics analysis, respectively. In the last part of the course, students will work in small groups and apply the acquired knowledge and competences by develping new projects.
Expected learning results
Knowledge: students are expected to acquire notions on continuum mechanics, on numerical techniques to solve partial differential equations, on the use of two software packages that well represent the standard commercial solvers in the field of structural mechanics and fluid dynamics, respectively.
Competences: students arte expected to learn how to use the acquire knowledge, including how to properly discretize a geometrical model based on the analysis to be perfoermed and how to make reasonable assumptions on the modelled system. They are also expected to become able to autonomously use finite element and finite volume solvers on real problems.
Course contents
The course is organized in two parts. In the first part, students will be introduced to the computational methods implemented in the two commercial codes with a mix of lectures and tutorials. The second part will be dedicated to the analysis of specific problems for fluiddynamics and solid mechanics in the lecture room equipped with computational facilities. The introductory part includes the following topics: Introduction to computational mechanics: the different steps needed to perform a numerical simulation will be presented starting from the standard continuum equations to their discretization and solution; in this framework, the main features of the numerical methods used for the solution of partial derivative equations will be described and compared. In particular the solution schemes of the finite element and finite volume methods will be analyzed. Principles of fluid mechanics simulation: the commercial package AnsysFluent will be introduced together with its capability to handle laminar and turbulent, steady and transient flows. In detail lectures will describe the way the linear algebraic form of the field equations can be achieved, the iterative methods for algebraic system solution, the upwinding schemes, the pressurevelocity coupling algorithms and how to check convergence and result accuracy. Principles of solid mechanics simulations: the commercial package Abaqus will be introduced, the main steps for the problem solution including the boundary conditions, meshing algorithms and solution strategies will be reviewed for linear and non linear simulations. In detail, standard displacementbased approach will be introduced together with discretization strategies of governing equations, numerical integration issues and algorithms for solution of linear and non linear problems. Access to the course
It should be noted that this is a limited number access course. The mandatory procedure for access request is described here: http://www.ccsbio.polimi.it/?page_id=27

Note Sulla Modalità di valutazione 
Students will be evaluated at the end of the course on the basis of a written examination on the theoretical parts of the course and of a presentation (written and oral) of the discussion of the results related to the problem investigated in the Lab hours.

H.K. Verstag and W. Malalasekera, An introduction to computational fluid dynamics  The finite volume method, Editore: Prentice Hall College Div (second edition), Anno edizione: 2007, ISBN: 0131274988
E. Oate, Structural Analysis With The Finite Element Method. Linear Statics: Volume 1: Basis And Solids , Editore: Springer, Anno edizione: 2012, ISBN: 9048179718
O.C. Zienkiewicz, R.L.Taylor, J.Z. Zhu, The Finite Element Method: Its Basis And Fundamentals, Editore: ButterworthHeinemann, Anno edizione: 2005, ISBN: 0750663200

Nessun software richiesto 
Tipo Forma Didattica

Ore didattiche 
lezione

16.0

esercitazione

16.0

laboratorio informatico

0.0

laboratorio sperimentale

0.0

progetto

0.0

laboratorio di progetto

48.0

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

