4.00 credits
20.0 h + 15.0 h
Q2
Teacher(s)
Rattez Hadrien; Saraiva Esteves Pacheco De Almeida João;
Language
English
> French-friendly
> French-friendly
Prerequisites
Good knowledge of structural mechanics, structures stabilty and basis of finite elements method, as taught in LGCIV1022 et LGCIV1023
Main themes
Variational principles in structural mechanics, classical theory of finite elements for structures:
· Trusses (2D and 3D)
· Frames (2D and 3D)
· Plates and shells
· Plane stress and plane strains.
More advanced material will eventually be covered: elasto-plastic modelling of frames, structural instabilities, modelling of brittle materials, lage displacements in structures.
A computer project will be assigned to students that will consist in the development of a finite element code for a specific type of structure. The code will have to deal with inputs and outputs, including a graphical user interface.
· Trusses (2D and 3D)
· Frames (2D and 3D)
· Plates and shells
· Plane stress and plane strains.
More advanced material will eventually be covered: elasto-plastic modelling of frames, structural instabilities, modelling of brittle materials, lage displacements in structures.
A computer project will be assigned to students that will consist in the development of a finite element code for a specific type of structure. The code will have to deal with inputs and outputs, including a graphical user interface.
Learning outcomes
At the end of this learning unit, the student is able to : | |
| 1 |
Contribution of the course to the program objectives (N°) AA1.1, AA1.2, AA1.3, AA2.1, AA2.2, AA2.3, AA2.4, AA3.1, AA3.2, AA4.2, AA4.4, AA5.6. Specific learning outcomes of the course
|
Content
Updated: 2022.09.12
- Theoretical development of the finite element method for beams, 2D, and 3D elastic elements, followed by practical considerations and applications.
- Classical issues in structural mechanics and remedies (e.g., shear locking, reduced integration, flexibility formulations volumetric locking, instabilities).
- Solution methods in nonlinear problems (incremental-iterative procedures, convergence criteria, etc)
- Geometrical nonlinearities (total Lagrangian, updated Lagragian, co-rotational formulations)
- Material nonlinearities (elasticity vs plasticity, elastoplasticity, plasticity, yield surface, flow rule, hardening, etc)
- (if time allows) Localisation and regularisation
- Theoretical development of the finite element method for beams, 2D, and 3D elastic elements, followed by practical considerations and applications.
- Classical issues in structural mechanics and remedies (e.g., shear locking, reduced integration, flexibility formulations volumetric locking, instabilities).
- Solution methods in nonlinear problems (incremental-iterative procedures, convergence criteria, etc)
- Geometrical nonlinearities (total Lagrangian, updated Lagragian, co-rotational formulations)
- Material nonlinearities (elasticity vs plasticity, elastoplasticity, plasticity, yield surface, flow rule, hardening, etc)
- (if time allows) Localisation and regularisation
Teaching methods
Updated: 2022.09.12
Lectures based on course slides; exercise sessions; practical applications.
Lectures based on course slides; exercise sessions; practical applications.
Evaluation methods
Updated: 2022.09.12
Continuous assessment and final oral exam.
Continuous assessment and final oral exam.
Other information
Updated: 2022.09.12
The course involves:
- The use / development of Python scripts;
- The use of a commercial/research finite element software (Abaqus).
The course involves:
- The use / development of Python scripts;
- The use of a commercial/research finite element software (Abaqus).
Online resources
Updated: 2022.09.12
Available in Moodle.
Available in Moodle.
Bibliography
Notes et supports de cours.
Faculty or entity
GC
