Finite Elements Method

Code:

EM0065

Acronym:

MEF

Keywords
Classification	Keyword
OFICIAL	Applied Mechanics

Instance: 2007/2008 - 1S

Active?	Yes
Responsible unit:	Applied Mechanics Section
Course/CS Responsible:	Master in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEM	22	Syllabus since 2006/2007	5	-	6	56	160

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

Reddy, J. N.; An Introduction to the Finite Element Method. ISBN: 0-07-112799-2
BATHE, K. J. ; Finite Element Procedures, Prentice-Hall, 1996
Zienkiewicz, O. C.; The finite element method. ISBN: 0-07-084174-8(vol.1)
Zienkiewicz, O. C.; Finite elements and approximation
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.
Szabó, Barna; Finite element analysis. ISBN: 0-0471-50273-1
Zienkiewicz, O. C.; The finite element method. ISBN: 0-07-084072-5
Cook, Robert D.; Finite element modeling for stress analysis. ISBN: 0-471-11598-3
Hinton, E.; Finite element programming. ISBN: 0-12-349350-1
Owen, D. R. J; Finite elements in plasticity. ISBN: 0-906674-05-2
Hughes, Thomas J. R.; The finite element method. ISBN: 0-13-317017-9
Cook, Robert D.; Concepts and Applications of Finite Element Analysis. ISBN: 0-471-03050-3
Smith, I. M.; Programming the finite element method. ISBN: 0-470-84970-3

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
Matlab 6 R12.1
Abaqus 6.2

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Subject Classes	Participação presencial	56,00
Exam	Exame	3,00
Project	Trabalho escrito	60,00
Study	Trabalho escrito	43,00
	Total:	-	0,00

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.