Dipartimento di Ingegneria Civile,
Ambientale e Meccanica
Corso di Dottorato in Ingegneria Civile,
Ambientale e Meccanica
Doctoral Course on
“Inverse Problems and Finite Element Model Updating”
Civil, Environmental and Mechanical Engineering PhD School
University of Trento, DICAM, Via Mesiano 77
November 25th -28th 2014
Duration: 25 hours (3 credits) ;
Responsible for the Course: Prof. Eng. Roberto Fedele,
Associate Professor, Department of Civil and Environmental Engineering (DICA)
Politecnico di Milano. E-mail roberto.fedele@polimi.it ; Tel: +39 02-23994275.
Detailed Program
The course consists of a theoretical part and a few practical sessions.
1. Theoretical part (13 hours): Least-square problems; pseudo-inverse matrix; a
probabilistical framework to inverse analyses based on information theory; Bayesian
approach; Kalman filtering; Minimization algorithms and heuristic strategies; Fundamentals
of nonlinear finite element models; Sensitivity analyses by Direct Differentation Methods
(DDM); X-ray tomography reconstruction; displacement estimation on the basis of digital
images by Galerkin Digital Image Correlation approach (2D and 3D-Volume DIC). In the
theoretical part some case studies are also included, concerning engineering applications of
finite element model updating to fracture problems, railway wheels, composites at different
scales (see the bibliography).
2. Practical sessions (12 hours). The novelty of the course is the presence of practical
sessions: under the teacher supervision, codes for nonlinear finite elements will be developed
in a Matlab environment, endowed by sensitivity analyses and identification procedures. The
participants are invited to take with them their notebooks, with Matlab already installed,
endowed by the Optimization toolbox.
Essential Bibliography
1. Fedele, R.., Raka, B., Hild, F., Roux, S., Identification of adhesive properties in
GLARE laminates by Digital Image Correlation, J Mechanics Physics of Solids, Vol.
57, No. 7, pp. 1003-1016, 2009.
2. Fedele, R., “Simultaneous Assessment of mechanical properties and boundary
conditions based on Digital Image Correlation”, Experimental Mechanics, online 23
August 2014, DOI 10.1007/s11340-014-9931-x (2014).
3. Fedele, R., Ciani, A., Galantucci, L., Bettuzzi, M., Andena, L., A regularized,
pyramidal multi-grid approach to global 3D-Volume Digital Image Correlation based
on X-ray micro-tomography, Fundamenta Informaticae, Vol. 125, pp. 361-376, 2013,
4. Fedele, R., Galantucci, L., Ciani, A., Global 2D Digital Image Correlation for motion
estimation in a finite element framework: a variational formulation and a regularized,
Via Mesiano, 77 – 38123 Trento Italy - Tel. +39 0461 282670 -2611, Fax +39 0461 282672
e-mail: dicamphd@unitn.it
Dipartimento di Ingegneria Civile,
Ambientale e Meccanica
Corso di Dottorato in Ingegneria Civile,
Ambientale e Meccanica
pyramidal, multi-grid implementation, Int. J. Numerical Methods in Engineering
Volume 96, Issue 12, 739–762, 2013.
5. Fedele, R., Galantucci, L., Ciani, A., Casalegno, V., A., Ferraris, M., Characterization
of innovative CFC/Cu joints by full-field measurements and finite elements, Materials
Science & Engineering A 595C, 306-317, 2014.
6. Fedele, R., Scaioni, M., Barazzetti, L., Rosati, G., Biolzi, L., Delamination tests on
CFRP-reinforced masonry pillars: optical monitoring and mechanical modelling,
Cement & Concrete Composites, Vol. 45, 243–254, 2014.
7. Fedele, R., Maier, G., Whelan, M., Calibration of local constitutive models through
measurements at the macroscale in heterogeneous media, Computer Methods in
Applied Mechanics and Engineering, Vol.195, pp. 4971-4990, 2006
8. Bonnet M., Frangi A. and Rey C., The finite element method in solid mechanics,
McGraw-Hill Education, Milano, ISBN 9788838674464, 2014 (with downloadable
Matlab programs).
9. Tarantola A., Inverse Problem Theory and Methods for Model Parameter Estimation,
Society of Industrial and Applied Mathematics (SIAM), Philadelphia, PA (USA),
2005, ISBN 0-89871-572-5.
10. Kak A.C. and Slaney M., Principles of Computerized Tomographic Imaging, Society
of Industrial and Applied Mathematics (SIAM), Philadelphia, PA (USA), 2001
ISBN:0-89871-494-X.
Course Schedule
The course will be held according with the following daily program:
Dates
Morning
Afternoon
9:00-13:00
9:00-13:00
9:00-13:00
14:00-18:00
14:30-17:30
14:30-17:30
14:30-17:30
Tuesday, November 25
Wednesday, November 26
Thursday, November 27
Friday, November 28
All the participants are invited to take with them their notebook, with Matlab installed,
including the Optimization toolbox.
Final examination
Final examination will concern the theoretical and methodological part of the course,
common to all the presented engineering applications, and a topic selected in agreement with
the teacher, possibly including computer programs developed by the student as a homework.
Via Mesiano, 77 – 38123 Trento Italy - Tel. +39 0461 282670 -2611, Fax +39 0461 282672
e-mail: dicamphd@unitn.it