Finite Elements Method

Code:

EM0065

Acronym:

MEF

Keywords
Classification	Keyword
OFICIAL	Applied Mechanics

Instance: 2011/2012 - 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	32	Syllabus since 2006/2007	5	-	6	56	160

Teaching language

Portuguese

Objectives

This course aims to give students an insight into finite element methods applied to the calculation of solids and structures.
At the end of the course, students should be capable of programming finite element methods to linear and non linear problems. They should also be capable of discussing about the development of new elements and should be able to interpret results of the most varied problems.

Program

1. Problem formulation on Solid Mechanics
2. Energy Methods: an overview on energy methods on Structural Mechanics- theorems of displacement
3. Finite Elements Formulation; General Method: definition, stages, Finite Elements formulation – displacement
4. 2d elements; Interpolation- shape functions, shape functions demands; function deduction from polynomials; Lagrange polynomials; “Serendipity” polynomials; shape functions in natural coordinates
5. 3d elements, beam and plate elements
6. Finite Elements programming; basics of a finite elements program
7. Materially non linear problems; plasticity
8. Algorithms of non linear solution
9. Programming by finite elements in 2d plasticity
10. Non linear elasticity, geometrically non linear

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
F. Teixeira-Dias,... [et al.]; Método dos elementos finitos. ISBN: 978-972-8480-25-7

Teaching methods and learning activities

Theoretical classes and theoretical-practical classes
Theoretical classes- presentation of course’s themes
Theoretical-practical classes- individual assignments orientation

Software

Abaqus 6.2
Matlab 6 R12.1
Ansys 5.7
Fortran 5.0

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	56,00
	Total:	-	0,00

Eligibility for exams

Only students who have successfully completed the assignments are admitted to exams.

Calculation formula of final grade

Final Mark is based on average grade of the assignments and the final exam

Examinations or Special Assignments

An assignment on Finite Element programming

Special assessment (TE, DA, ...)

A written exam plus a computer assignment

Classification improvement

Students can improve their grade by attending Recurso exam.