ICAR/08 (CONSTRUCTION SCIENCE)
DEPARTMENT OF ELECTRICAL,COMPUTER AND BIOMEDICAL ENGINEERING
2nd semester (07/03/2022 - 17/06/2022)
50 lesson hours
WRITTEN AND ORAL TEST
Intermediate knowledge of algebra, mechanics of solids (introductory concepts on strain and stress), numerical analysis.
The course is an introduction to classical computational mechanics methods.
In particolar, starting from the standard displacement-based method for planar frames, we will develop the finite-element method for shear-undeformable and shear-deformable beams. We will then approach the development of finite-elements for two-dimensional continuum problems (addressing both triangular and quadrangolar elements).
Review of standard displacement method for planar frames
Development of a finite element scheme for Euler-Bernoulli beam, starting from elastica differential equativo
Development of a finite element scheme for Timoshenko (shear deformable) beam starting from total potential energy. Locking issues and possible solution techniques: linked interpolation, under-integration, Hellinger-Reissner mixed approach.
Two-dimensional problems. Development of triangular and iso-parametric quadrangolar finite elements. Numerical integration. Locking issues and possible solution techniques: under-integration, enhanced method, mixed approach.
Lectures at the blackboard as well as with slide projection, exercises using the computer.
Registered video lectures and virtual lectures if on-site teaching will be forbidden.
Reccomended or required readings
- Zienkiewicz, O. and R. Taylor (1991). The finite element method (fourth ed.), Volume I. New York: McGraw Hill.
- Taylor, R. (2000). A finite-element analysis program. Technical report, University of California at Berkeley. http://www.ce.berkeley.edu/rlt.
Written examination (programming) and Oral examination starting from a report with exercises following indications given during the course.
The examination could be converted in a single oral session (starting from a report with exercises following indications given during the course) during the Sars-Cov-2 health emergency.
Sustainable development goals - Agenda 2030