Content of Learning Activity

- bending of thin plates : strain kinematic - static; circular and rectangular plates; limit analysis for isotropic plates; yield surfaces; normality law, fundamental theorems
- axisymetrical shells under axisymetrical loading, membrane state; strains and displacements, bending of shells under border loading
- instability problems
- plane problems, thermomechanics, ASME VIII
- finite elements for elastic continuum
- direct formulation of a finite element
- plane stress and plane strain
- modelling of the axisymetric solids
- 3D stress state
- Galerkin method and variational principle
- shape functions, continuity requirement of an element (C0 and C1)
- isoparametric finite elements, numerical integration

Required Learning Resources/Tools

Not applicable

Recommended Learning Resources/Tools

Not applicable

Other Recommended Reading

S. Timoshenko, S. Woinowsky-Krieger - Theory of plates and shells; IBN 0-07-085820-0 . Mc Graw Hill; 1059.
M.A. Save, CE Massonnet, G. De Saxcé - Plastic limit analysis of plates, shells and disks; Elsener 10997; ISBN 0-444-89479-9
The Finite Element Method. Vol. I, II - O. Zienkiewicz and R. Taylor – Mac Graw-Hill C°, 1989
Finite Element Modeling - C. Spyrakos. Algor Publishing Division – 1994
Modélisation des structures par éléments finis - Volume I : Solides élastiques - J-L Batoz et G. Dhatt; Editions Hermès; Paris; 1990
Modélisation des structures par éléments finis - Volume II : Poutres et plaques - J-L Batoz et G. Dhatt; Editions Hermès; Paris; 1990

Mode of delivery

• Face to face

Type of Teaching Activity/Activities

• Cours magistraux
• Exercices dirigés
• Utilisation de logiciels
• Démonstrations
• Travaux pratiques

Evaluations

The assessment methods of the Learning Activity (AA) are specified in the course description of the corresponding Educational Component (UE)