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| Version 2012-2013 |
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| GCIV0185-4 | Numerical methods in Civil and Geological Engineering
- Linear methods
- Non-linear methods
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| Duration : | Linear methods : 25h Th, 25h Pr
Non-linear methods : 25h Th, 25h Pr
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| Number of credits : |
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| Lecturer : | Linear methods : Laurent Duchene, Michel Pirotton
Non-linear methods : Frédéric Collin, Vincent De Ville De Goyet
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| Coordinator : | Vincent Denoël |
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Language(s) of instruction :
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| French language |
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Course contents :
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 | | Linear methods |
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| This course is an introduction to linear numerical methods and to their applications in the field of civil and geological engineering. It deals with finite differences, finite elements and finite volumes. |
| | Non-linear methods |
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| This course intend to give theoretical basis used in non linear finite elements codes for civil engineering : geometrical non linearities, application to beams structures, non linear constitutive models for building materials (steel, concrete...) and for geomaterials (soils, rocks, concrete...). Practical works are dedicated to numerical code use. |
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Learning outcomes of the course :
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| | Linear methods |
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| At the end of this course, the students will be able to solve a boundary value problem governed by differential equations with different methods: the finite element method, the finite difference method or the finite volume method.
One of the main objectives of this course is to make the students understand the basic principles of methods currently widely used in many software tools. The emphasis is put more on the theoretical fundamentals than on the application of such softwares. |
| | Non-linear methods |
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| At the end of the course, students will be able to:
- know the origins of non linearities in civil engineering computations and understand how to implement them in a finite element code.
- perform a non linear modelling of an application (structures or geotechnics) and understand the difficulties of such computations.
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Prerequisites and co-requisites/ Recommended optional programme components :
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| | Linear methods |
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| The mathematical developments related to the numerical methods proposed in this course will rely on courses of mathematical analysis and numerical analysis.
The understanding of the physical phenomena treated as examples or applications will require basic knowledge in fluid, solid and structure mechanics. |
| | Non-linear methods |
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| Mathematical analysis and numerical analysis
- Numerical methods for linear problems
- Solid mechanics
- Structural mechanics
- Geotechnics
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Planned learning activities and teaching methods :
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| | Linear methods |
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| This course consists in a theoretical part where the concepts are presented to the students and in a practical part where these concepts are applied by the students.
These practical activities consist in the resolution of differential equation problems coming form fluid and/or solid mechanics, using the methods presented in the theoretical classes (finite elements, finite differences, finite volumes).For these practical works, the students will have to deliver a report for each studied case. |
| | Non-linear methods |
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| Use of finite element codes for structures and for geotechnics, report elaboration for each practical case.
The course is composed of "ex-cathedra" lectures and exercises.
Exercices allow the students using finite element codes for structures and for geotechnics. A report will be written by the students for each practical case. |
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Mode of delivery (face-to-face ; distance-learning) :
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| | Linear methods |
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| The lectures are delivered face-to-face. The attendance to all lectures is mandatory.
For the practical works, a part of the work must be achieved during dedicated sessions (see the planning of the course). During these sessions, the students are invited to interact with the teacher to solve their problems. A part of the work must also be achieved by the students at home. |
| | Non-linear methods |
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| 2nd semester
The attendance to all lectures is mandatory.
Face-to-face |
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Recommended or required readings :
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| | Linear methods |
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| The notes and/or the slides are available from the platform e-Campus. |
| | Non-linear methods |
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| Notes are available from the teachers. |
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Assessment methods and criteria :
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| | Linear methods |
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| The evaluation is based on the pratical work reports and on a written examination on the theory and/or on the direct application of the theory.This examination will be taken with the books closed.
All the lectures and the practical work sessions are mandatory.
In case of second session (september), the grade obtained for the reports will be kept and only the theoretical part will be evaluated again. |
| | Non-linear methods |
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| Evaluation is based on the pratical work reports and on an oral exam on theory
In case of second session (septembre), the grade obtained for the reports will be kept and the theoretical part will be only evaluated. |
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Work placement(s) :
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Organizational remarks :
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| | Linear methods |
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| The lectures are given during the first quadrimester, on Monday morning from 9:00 to 12:30. |
| | Non-linear methods |
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| The lessons are given during the 2nd quadrimestre, on Monday morning (8h30 - 12h30) and on Wednesday afternoon (13h30 - 17h30) |
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Contacts :
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| | Linear methods |
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| Theoretical lectures:
Laurent Duchêne, tel: 04/366 9328, l.duchene@ulg.ac.be
Michel Pirotton, tel: 04/366 9536, michel.pirotton@ulg.ac.be
Practical works (partim M. Pirotton) :
Pierre Archambeau, tel: 04/366 9291, pierre.archambeau@ulg.ac.be
Secretary:
Laurence Defrere, tél: 04/366 9357 |
| | Non-linear methods |
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| Frédéric Collin, Vincent de Ville |
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