Compléments d'élasticité : calcul de structures planes
[MECA2520]
[30h + 30h] 5 credits
This course is taught in the 2d semester.
This course is not taught in 2009-2010
Teacher(s): Issam Doghri, Jean-François Remacle
Language: French
Level: Second
Aims
- plane strain;
- plane stress;
- bending of plates.
Main themes
- The problems involve " long " solids under plane strain, " thin " solids under plane stress and thin or thick plates under bending loads.
- For each class of problems, appropriate formulations will be developed, together with their finite element discretization, in view of their numerical resolution using a specialized software. Some rather simple problems will also be solved analytically in order to better understand the theory.
Content and teaching methods
Chapitre 2 : Plane strain and plane stress in cylindrical coordinates.
"Chapitre 3 : Kirchhoff-Love plate theory in Cartesian coordinates.
Chapitre 4 : Kirchhoff-Love plate theory in cylindrical coordinates.
Chapitre 5 : Reissner-Mindlin plate theory.
Chapitre 6 : Finite element formulations of plate theories.
Travaux pratiques :
- Resolution of several relatively simple problems dealing usually with direct applications of the theory (e.g., tube under inner and outer pressures, stress concentration in a plate with a small circular hole, force on the straight edge of a semi-infinite plate, bending of a circular plate under axisymmetric loading, etc.)
- Use of a finite element numerical software, in order to understand the main steps of the method (geometry definition, input of material data and other problem parameters, space and time discretization, solver algorithms, post-processing and visualization of computation results).
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)