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| Version 2011-2012 |
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| GCIV0185-2 | Numerical methods in Civil and Geological Engineering
- Linear methods
- Linear and non-linear methods
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| Duration : | Linear methods : 30h Th, 30h Pr
Linear and non-linear methods : 30h Th, 30h Pr
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| Number of credits : |
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| Lecturer : | Linear methods : Laurent Duchene, Michel Pirotton
Linear and non-linear methods : Frédéric Collin, Vincent De Ville De Goyet
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| Coordinator : | N... |
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Language(s) of instruction :
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| French language |
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Course contents :
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| Part : Linear
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.
Part : Non linear
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.
 | | 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. |
| | Linear and 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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| At the end of this class, the students will be able to use the analysis softwares available in pratical, and especially use them with a sound understanding of the limitations of the methods.The emphasis is put more on the theoretical fundamentals than on applications. Students will thus be able to solve a boundary value problem governed by differential equations, with the method of finite elements, finite differences or finite volumes.
| | Linear methods |
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| The objective 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 applications. |
| | Linear and 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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| Mathematical analysis and numerical analysis
| | Linear methods |
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| Mathematical analysis and numerical analysis |
| | Linear and non-linear methods |
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- Numerical methods for linear problems
- Solid mechanics
- Structural mechanics
- Geotechnics
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Planned learning activities and teaching methods :
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| Part: Linear
The practical activities consists in the resolution of differential problems coming form fluid and solid mechanics using the methods presented in the theoretical classes (finite elements, finite differences, finite volumes)
Part : Non linear
Use of finite element codes for structures and for geotechnics, report elaboration for each practical case.
| | Linear methods |
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| The practical activities consist in the resolution of differential problems coming form fluid and solid mechanics using the methods presented in the theoretical classes (finite elements, finite differences, finite volumes) |
| | Linear and non-linear methods |
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| 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 Part: 1st semester
Nonlinear Part: 2nd semester
The attendance to all lectures is mandatory.
| | Linear and non-linear methods |
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| Face-to-face |
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Recommended or required readings :
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| Notes are available from the teachers.
| | Linear and non-linear methods |
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| notes are available from the teatchers |
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Assessment methods and criteria :
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| Linear part: Evaluation is based on the pratical work reports and on a written examination on theory
Nonlinear part: Evaluation is based on the pratical work reports and on an oral exam on theory
| | Linear and non-linear methods |
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| Each lesson and exercises are mandatory.
Evaluation is based on the exercice reports and on an theoretical oral exam.
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 and 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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| Vincent Denoël
Michel Pirotton
Robert Charlier
Vincent de Ville
Jean-Pol Radu
| | Linear methods |
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| Laurent Duchêne,
Michel Pirotton |
| | Linear and non-linear methods |
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| Frédéric Collin, Vincent de Ville |
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| Items online : |
Linear and non-linear methods
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| Notes de cours |
| Ce fichier pdf contient les notes de cours. |
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