Finite Element Method
Instance: 2006/2007 - 1S
Cycles of Study/Courses
Teaching language
Portuguese
Objectives
Acquiring the theoretical and programming knowledge associated with the Finite Element Method in the context of solids and structures.
At the end of the semester the student is expected to have the ability to program the Finite Element Method for Linear and/or nonlinear problems. He is expected to have as well the theoretical knowledge that supports the development of new elements and the capacity to interpret the results for several problems.
Program
1- Formulation of Problems in solid Mechanics. 2. Energy Methods: General presentation with particular reference to the Theorems based in displacement formulations. 3. Formulation of Finite Elements; General Method. 4. 2D Elements, Interpolation, Shape functions, Lagrange polynomials and Serendipity polynomials. 5. 3D Elements, Beam and Plate Elements. 6. Programming the Finite Element Method. 7. Materially nonlinear problems. 7. Programming the Finite Element Method in Plasticity 2D. 9. Geometrically nonlinear problems.
Bibliography
Mandatory literature
Zienkiewicz, O. C.;
The finite element method. ISBN: 0-07-084072-5
Hughes, Thomas J. R.;
The finite element method. ISBN: 0-13-317017-9
Zienkiewicz, O. C.;
The finite element method. ISBN: 0-07-084174-8(vol.1)
Reddy, J. N.;
An Introduction to the Finite Element Method. ISBN: 0-07-112799-2
Zienkiewicz, O. C.;
Finite elements and approximation
BATHE, K. J. ; Finite Element Procedures, Prentice-Hall, 1996
CRISFIELD, M .A.; Finite Element Procedures for Structural Analysis, Pineridge Press, Vol. 1, 1986
COOK, R. D; MALKUS, D. S. and PLESHA, M. E; Concepts and Applications of Finite Element Analysis, John Wiley & Sons, 1989.
Cook, Robert D.;
Concepts and Applications of Finite Element Analysis. ISBN: 0-471-03050-3
Cook, Robert D.;
Finite element modeling for stress analysis. ISBN: 0-471-11598-3
Szabó, Barna;
Finite element analysis. ISBN: 0-0471-50273-1
Hinton, E.;
Finite element programming. ISBN: 0-12-349350-1
Owen, D. R. J;
Finite elements in plasticity. ISBN: 0-906674-05-2
Teaching methods and learning activities
Theoretical Classes and Programming Classes.
In the Theoretical Classes the main subjects will be presented.
In the Progamming Casses the Individual projects will be oriented.
Software
Ansys 5.7
Fortran 5.0
Abaqus 6.2
Assessment Components
Description |
Type |
Time (hours) |
Weight (%) |
End date |
Subject Classes |
Participação presencial |
56,00 |
|
|
|
Exame |
3,00 |
|
|
Project |
Trabalho escrito |
62,00 |
|
|
|
Total: |
- |
0,00 |
|
Amount of time allocated to each course unit
Description |
Type |
Time (hours) |
End date |
Study |
Estudo autónomo |
41 |
|
|
Total: |
41,00 |
|
Eligibility for exams
Success in the projects
Calculation formula of final grade
50% for the Project
50% for the Final exam
Examinations or Special Assignments
Projects using the Finite Element Method and Programming the Finite Element Method.
Special assessment (TE, DA, ...)
Exam and programming work.
Classification improvement
The Classification can be improved in the exam and in the project.