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| GCIV0185-2 | Numerical methods in Civil and Geologicel Engineering - I. Linear methods - 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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| Credits/ECTS : |
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| Holder(s) : | Linear methods : Vincent Denoël, Michel Pirotton
Linear and non-linear methods : Robert Charlier, Vincent Denoël, Vincent de Ville de Goyet
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| Coordinator : | Vincent Denoël |
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| Language : | French language |
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| Course contents : | 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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| Course objective : | The objective of the classes 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.
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 | The objective of the classes 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. |
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| Prerequisites : | Mathematical analysis and numerical analysis
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 | Mathematical analysis and numerical analysis |
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- Numerical methods for linear problems
- Solid mechanics
- Structural mechanics
- Geotechnics
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| Workshops : | 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.
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 | 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) |
 |  | Linear and non-linear methods |

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 | Use of finite element codes for structures and for geotechnics, report elaboration for each practical case. |
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| Organization : | 2nd semester
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 | 2nd semester, on Monday morning and Wednesday afternoon. |
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| Written notes : | Notes are available from the teachers.
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 | notes are available from the teatchers |
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| Assessment : | Evaluation is based on the pratical work reports and on an oral exam on theory
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 | Evaluation is based on the pratical work reports and on an oral exam on theory |
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| Contacts : | Robert Charlier, Vincent de Ville, Jean-Pol Radu
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 | Robert Charlier, Vincent de Ville, Jean-Pol Radu |
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