Laminated Structures

Recommended Prerequisites

It is supposed that the students have knowledge in the linear analysis of hyper-static structures and numerical methods.

Teaching Methods

Theoretical lessons composed by detailed explanations of the syllabus. Tutorials help and guide the students to solve the proposed work.

Learning Outcomes

To knowledge the main models for the analysis and calculations of laminar structures, including the approximated models for manual computations and models of linear analysis and nonlinear analysis based on the finite element method. It is demanded that the students understand and manipulate the commercial programs for the analysis of this kind of structures.

Work Placement(s)

No

Syllabus

1. Linear elastic analysis by FEM
- Theory of linear elasticity (revision). Principle of virtual work. FEM formulation.
- Bar and bi-dimensional elements.
- Shell element. Thin shell (Kirchhoff). Thick shell (Reissner-Mindlin).
-Parameterization. Numerical integration.
-Convergence analysis and error.
-Some special elements: sandwich and joint.
2. Elasto-plastic analysis by FEM
- Rupture criterions and yielding conditions.
- Flow and hardening laws.
3. Geometrically non linear analysis
4. The employing of commercial codes and the choice of the model to study a problem
- the knowledge of the user on the models employed
- validation of the results obtained.

Head Lecturer(s)

Maria Helena Freitas Melão Barros Gomes Pereira

Assessment Methods

Continuous
Synthesis work: 100.0%

Bibliography

1. O. C. Zienkiewicz, (1989)The Finite Element Method- VolI- Basic Formulation and Linear Problems.

2. E. Hinton, R. Owen (1977) Finite Element Progamming . Academic Press.

3. R. Szilard (2004) -Theories and Applications of Plate Analysis: Classical Numerical and Engineering Methods, J.Wyley ED., ISBN: 978-0-471-42989.

4. J.N.Reddy (2004) - Mechanics of laminated composite plates and shells: theory and analysis, CRC Press ISBN 0849315921, 9780849315923.

5. S. P. Timoshenko (1959) – Theory of Plates and shells , MacGraw-Hill.

6. J. N. Reddy, (2006) An introduction to the finite element method, MacGraw-Hill.

7. E. Hinton, R. Owen (1980) Finite Elements in Plasticity: theory and practice . Pineridge Press.

8. Y. K Cheung, Y. Yeo (1979) A practical introduction to the finite element analysis.

9. A. Portela, A. Charafi, (2002) Finite elements using MAPLE, Springer.