Course Title: ”Inverse Problems and Finite Element Model Updating” Date: December 2022/January 2023
Duration: 25 hours; 5 CFU
Responsible for the Course: Prof. Eng. Roberto Fedele
The course lessons will be held in presence for PhD students belonging to Politecnico, in streaming connection for the PhD students of other institutions (by Microsoft Teams, details about the connection and the virtual room will be provided when contacting the Secretary)
INTERESTED PERSONS ARE INVITED TO CONTACT Dott.ssa Elena Piera Raguzzoni, Tel. 02-23996504; Fax 02-23996530, E-mail: email@example.com ; Prof. Roberto Fedele, Tel. +39 02 23994275 E-mail: firstname.lastname@example.org
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; Special purpose elements for fracture and plasticity; 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.
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.