TUM. The Entrepreneurial University. COME Welcome 2017 Prof. Fabian DUDDECK

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1 TUM. The Entrepreneurial University. COME Welcome 2017 Prof. Fabian DUDDECK

2 TUM. The Origin 1868 King Ludwig II founded Polytechnische Schule 2

TUM. Milestones 1868: King Ludwig II founds the "Polytechnic School" 1877: "Technical University" 1901: Right to Award Doctorates, First Doctoral Candidate: Georg Hauser (Chemistry) 1905: Admittance

3 TUM. Milestones 1868: King Ludwig II founds the "Polytechnic School" 1877: "Technical University" 1901: Right to Award Doctorates, First Doctoral Candidate: Georg Hauser (Chemistry) 1905: Admittance of female students First Female Doctoral Candidate: Amalie Baur (Chemistry) 1930: Integration of the College of Agriculture and Brewing in Weihenstephan 1957: First Neutron Research Reactor in Germany 1967: TUM School of Medicine, University Hospital 1970: Presidential Constitution, "Technische Universität München" 1999: TUM s University Reform started, Entrepreneurial University Constitution 2000: TUM School of Life Sciences Weihenstephan (Matrix Structure) 2000: Foundation of the COME program 2002: TUM Branch in Singapore (TUM. Asia Pte. Ltd.) TUM School of Management, Dep. of Sport & Health Sciences 3

TUM. Milestones 2004: High-Flux Research Neutron Source Heinz Maier-Leibnitz 2005: TUM Institute for Advanced Study (IAS) 2006: TUM elected "University of Excellence" International Graduate School of

4 TUM. Milestones 2004: High-Flux Research Neutron Source Heinz Maier-Leibnitz 2005: TUM Institute for Advanced Study (IAS) 2006: TUM elected "University of Excellence" International Graduate School of Science and Engineering (IGSSE) 2009: TUM School of Education TUM Graduate School 2010: TUM University Foundation Munich School of Engineering (MSE) 2012: TUM again elected "University of Excellence" Munich Center for Technology in Society (MCTS) 2014: Bavarian School of Public Policy 2015: Munich School of Bioengineering 2017: Your start here at the TUM 2018: 150 years of TUM celebrations 4

5 TUM. Selected Nobel Laureates Heinrich O. Wieland 1927, Chemistry Ernst Otto Fischer 1973, Chemistry Hans Fischer 1930, Chemistry Klaus von Klitzing 1985, Physics Rudolf L. Mößbauer 1961, Physics Robert Huber 1988, Chemistry 5

TUM. Selected Inventors, Engineers, Entrepreneurs Oskar von Miller Storage Power Plants Walchensee Power Plant German Museum Claude Dornier Aircraft Construction Water Planes Carl von Linde

6 TUM. Selected Inventors, Engineers, Entrepreneurs Oskar von Miller Storage Power Plants Walchensee Power Plant German Museum Claude Dornier Aircraft Construction Water Planes Carl von Linde Refrigeration Engineering Linde s Refrigeration Machines Air Liquefaction Willy Messerschmitt Aircraft Construction First Jet Plane Engine Rudolf Diesel Combustion Engine Development Diesel Engine (MAN) Heinz Maier-Leibnitz Neutron Research "Atom Ei" 6

TUM. International TUM. Partner Universities and International Locations UC Berkeley Stanford University University of Alberta Universidad Nacional Autónoma de México University of Waterloo TUM.

7 TUM. International TUM. Partner Universities and International Locations UC Berkeley Stanford University University of Alberta Universidad Nacional Autónoma de México University of Waterloo TUM.USA Universidad Nacional de Colombia 150 Partner Universities & 320 Erasmus Cooperations Imperial College London Georgia Tech TU Eindhoven DTU Kopenhagen TUM.Brussels ETH Zürich EPF Lausanne Universidade de São Paulo Technion TUM.São Paulo TUM.Cairo Lomonosov Moscow State University Stellenbosch University TUM.India KAUST Tsinghua University IITBombay GIST TUM.Asia TUM.Beijing IITMadras HKUST QUT Seoul National University Tokyo Institute of Technology Tongji University Keio University TUM.Japan University of Queensland Pontificia Universidad Católica de Chile University of Melbourne 7

8 Munich Metropolitan Region Research Network 8

9 Standorte Munich Metropolitan Region Research Network Industry Network 9

10 TUM. Locations Campus Freising- Weihenstephan Airport Campus Garching Pasing Freising-Weihenstephan Sport and Health Science Olympiapark München Pasing, cbm Campus München Klinikum Garching Martinsried MPI-Biozentrum Großhadern Olympiapark Klinikum Rechts der Isar (University Hospital) 10

11 TUM. Munich Downtown Campus Civil, Geo and Environmental Engineering Architecture Electrical, Electronic & Computer Engineering TUM School of Management TUM School of Education 11

12 TUM. Garching Campus Chemistry Physics Informatics Mathematics Mechanical Engineering TUM Institute for Advanced Study Medical Engineering Research Neutron Source 12

13 TUM. Weihenstephan Campus TUM School of Life Sciences Weihenstephan 13

14 TUM. International Rankings 14

TUM. Key Data 2016/17 14 Departments 390 Buildings 165 Degree Courses 40 000 Students, 34% female, 22% internat l 12 600 Freshman Students 8 200 Graduates per year > 1 000 PhD Theses per year 5 000

15 TUM. Key Data 2016/17 14 Departments 390 Buildings 165 Degree Courses Students, 34% female, 22% internat l Freshman Students Graduates per year > PhD Theses per year Publications, peer-reviewed per year 528 Professors (incl. hospital), 17% female, 16% internat l Scientific Staff (incl. hospital) Non-Scientific Staff (not incl. hospital) 47 ERC Grants (since 2008) 49 Humboldt Senior Research Fellows ( ) 13 Nobel Prize Laureates 18 Leibniz Laureates (DFG) 5 Humboldt Professors > Research Agreements with industry p. a. 15

16 TUM. Total Student Population 40,000 39,081 35,000 30,000 26,302 25,000 20,000 19,454 20, %

TUM. Departments Mechanical Engineering Center of Life and Food Science Weihenstephan Sports Science Mathematics TUM School of Education Physics Medicine

17 TUM. Departments Mechanical Engineering Center of Life and Food Science Weihenstephan Sports Science Mathematics TUM School of Education Physics Medicine Informatics Electrical Engineering and Information Technology Chemistry Architecture TUM School of Management Civil, Geo, and Environmental Engineering 17

18 Exzellente Forschung TUM. Students by Departments German Students WS 14/15 International Students WS 14/15 Mathematics Physics Chemistry TUM School of Life Sciences Weihenstephan TUM School of Medicine Sport and Health Sciences Munich School of Engineering Architecture Civil, Geo and Environmental Engineering Electrical and Computer Engineering Mechanical Engineering Informatics TUM School of Management TUM School of Education Munich Center for Technology in Society , , , , ,000 35% 50% Natural Sciences, Life Sciences & Medicine Engineering Management Education Humanities 18

19 TUM. BGU Department embedded in TUM Construction Infrastructure Environment Planet Earth Focus-Areas 1. Construction 5. Modelling, 3. Geodesy Simulation, Processes 2. Mobility & Transportation Systems 4. Hydro- & Geoscience 19

20 TUM. Programs (BGU) 4 BSc - programs 12 MSc programs (7 international programs) BSc Civil Engineering MSc Civil Engineering MSc Environmental Engineering BSc Environmental Engineering MSc Energy Efficient and Sustainable Buildings MSc Computational Mechanics Eng Geo BSc Earth Sciences (together with LMU) MSc Engineering Geology & Hydrogeology MSc Earth Sciences (together with LMU) MSc Transportation Systems MSc Transportation and Logistics (GIST - TUM Asia) BSc Geodesy and Geoinformation MSc Geodesy and Geoinformation GuG MSc ESPACE MSc Cartography (together with TU Vienna, TU Dresden,..) MSc Land Management and Land Tenure 532 courses (lectures, seminars, tutorials, ) 20

21 TUM. Department of Civil, Geo, and Environmental Engineering (Courses) COME and BGCE 21

22 TUM. M.Sc. Computational Mechanics The M.Sc. Computational Mechanics was founded in 2000 by the Faculty Civil, Geo and Environmental Engineering It aims for educating experts for industry and academia in the field of computational methods in mechanics for all areas of engineering. Logo by COME students 2011/12 22

campus. The main chairs involved are: - Chair of Structural Mechanics, Prof.

Kai-Uwe BLETZINGER - Chair of Computation in Engineering, Prof.

23 TUM. M.Sc. Computational Mechanics Generally, the lectures are offered at the central campus. The main chairs involved are: - Chair of Structural Mechanics, Prof. Gerhard MÜLLER - Chair of Structural Analysis, Prof. Kai-Uwe BLETZINGER - Chair of Computation in Engineering, Prof. Ernst RANK - Chair of Hydromechanics, Prof. Michael MANHART - Chair of Computational Mechanics, Prof. Fabian DUDDECK K.-U. Bletzinger G. Müller E. Rank M. Manhart F. Duddeck 23

24 Curriculum of the COME.tum program Two years master program In total 120 ECTS credits TOTAL 36 ECTS credits compulsory courses 24 ECTS credits compulsory elective courses 30 ECTS credits elective courses 30 ECTS credits master s thesis 120 ECTS Additional qualification during your COME studies possible BGCE - Bavarian Graduate School of Computational Engineering Selection process at the end of the first semester. 24

25 Compulsory Modules Semester 1 Computation in Engineering 1 (6 ECTS) Advanced Fluid Mechanics (6 ECTS) Finite Element Methods 1 (6 ECTS) Computational Material Modelling I (6 ECTS) Continuum Mechanics (6 ECTS) TOTAL: 30/120 ECTS Semester 3 Software Lab Project with focus on one of the specialisations (6 ECTS) Computer Science Fluids Solids & Structures Materials Mechanics TOTAL: 6/120 ECTS Semester 4 Master Thesis (30 ECTS) TOTAL: 30/120 ECTS 25

Compulsory Modules Computation in Engineering 1 CONTENT Object oriented modeling and programming (C++) Data structures Algorithms Finding roots, sorting Numerical integration Least squares

26 Compulsory Modules Computation in Engineering 1 CONTENT Object oriented modeling and programming (C++) Data structures Algorithms Finding roots, sorting Numerical integration Least squares method Conjugated Gradient method Quadtree/Octree structures Radiosity method Mesh generation Quadtree for discretisation of a 2D region. Stefanie Schraufstetter, André Borrmann, Ernst Rank 26

Compulsory Modules Computation in Engineering 1 Introduction to Programming in C++ This module is running in the context of Computation in Engineering 1 CONTENT Introduction into IDE (Integrated

27 Compulsory Modules Computation in Engineering 1 Introduction to Programming in C++ This module is running in the context of Computation in Engineering 1 CONTENT Introduction into IDE (Integrated Development Environment) Expressions in C++ Data types Control structures Functions Arrays Pointers & references, files Elementary algorithms Libraries *.lib Object file *.obj Object file *.obj Linker Program *.exe 27

Compulsory Modules Advanced Fluid Mechanics CONTENT Kinematics Kinetics Navier-Stokes equations Pipe flow, free surface flow Dimensional

28 Compulsory Modules Advanced Fluid Mechanics CONTENT Kinematics Kinetics Navier-Stokes equations Pipe flow, free surface flow Dimensional analysis Turbulent flows APPLICATIONS Hydraulic, river and environmental engineering Building aerodynamics Process and mechanical engineering 28

Convergence Requirements Locking and FE Technology Implementation K 1 1-1 1 t B T C B J d d

29 Compulsory Modules Finite Element Methods 1 CONTENT Direct Stiffness Method Finite Element Modeling Variational Formulation 4 3 Plane Stress Elements Beam and Plate Elements Convergence Requirements Locking and FE Technology Implementation K t B T C B J d d 1 2 Applications Complemented with the course on Modeling, Simulation, and Validation (FE tutorials) 29

science and data management Mechanical modeling of structures Simulation

30 Compulsory Modules Finite Element Methods 1 Modeling, Simulation, and Validation CONTENT Introduction to a commercial FE software Computer science and data management Mechanical modeling of structures Simulation of linear and first non-linear and/or dynamic processes Applications Validations 30

Compulsory Modules Computational Material Modelling 1

behaviour (micro, meso & macro levels) Elasticity,

Computational modeling of - Metals - Polymers -

31 Compulsory Modules Computational Material Modelling 1 CONTENT Computational descriptions for material behaviour (micro, meso & macro levels) Elasticity, visco-elasticity, plasticity, viscoplasticity, etc. Computational modeling of - Metals - Polymers - Composites - Ceramics - Foams - Biomaterials - Geomaterials - Others 31

32 Compulsory Modules Continuum Mechanics CONTENT Introduction into tensor analysis Description of stress states in arbitrary, curvilinear coordinates Lagrangian description of strain states Conservation of energy Conservation of mass Constitutive relations General treatment of continuum mechanical knowledge in order to solve non-linear problems References to approaches of Technical Mechanics (Torsion, Bending, Plates, Dynamics) 32

33 Compulsory Modules Software Lab (2 nd + 3 rd semester) CONTENT Group work on software development. Engineering problems from different application fields. Collaboration with industry and academia 33

34 Compulsory Elective Modules (each 6 ECTS) Semester 2 (Summer) Choose 2 out of 4 modules Finite Element Methods 2 Computational Fluid Dynamics Theory of Plates and Shells* Structural Dynamics * Runs over 2 semesters TOTAL: 12/120 ECTS Recommended: add elective modules 18/120 ECTS Semester 3 (Winter) Choose 2 out of 4 modules Functional Analysis & Comput. Lin. Algebra Parallel Computing Computational Material Modelling 2 Optimization TOTAL: 12/120 ECTS Recommended: add elective modules 12/120 ECTS 34

35 Compulsory Elective: Finite Element Methods 2 CONTENT Large deformations Instability Ultimate load analysis Element formulation Green Lagrange strain Piola Kirchhoff stresses Numerical methods Bifurcations, limit points path following algorithms Applications 35

Compulsory Elective: Computational Fluid Dynamics (CFD) CONTENT Finite differences, finite volume method of weighted residuals Time integration Stability and

36 Compulsory Elective: Computational Fluid Dynamics (CFD) CONTENT Finite differences, finite volume method of weighted residuals Time integration Stability and accuracy analysis Solution of Navier-Stokes equations APPLICATIONS Hydraulic, river and environmental engineering building aerodynamics Process and mechanical engineering 36

37 Compulsory Elective: Theory of Plates and Shells CONTENT Plane stress / plane strain Membranes, strut & tie models FE formulation Plates in bending Kirchhoff / Reissner-Mindlin Differential geometry Membrane theory Kirchhoff-Love theory Shells of revolution Force method Applications 37

Compulsory Elective: Structural Dynamics CONTENT Solution techniques for structures under the action of dynamic loads Single and multi degrees of freedom systems

38 Compulsory Elective: Structural Dynamics CONTENT Solution techniques for structures under the action of dynamic loads Single and multi degrees of freedom systems (SDOF and MDOF) Modal Analysis Statistical Energy Analysis Linear and non-linear systems Structures under seismic loads Structures under wind loads Machine foundations 38

39 Compulsory Elective: Functional Analysis & Linear Algebra CONTENT Mathematical foundation for numerical methods Error analysis and convergence Hilbert, Sobolev and Banach spaces Vector and matrix algebra Solution methods for large systems 39

40 Compulsory Elective: Parallel Computing CONTENT Introduction, hardware development Hardware: parallel and vector computers Basic concepts of parallel computing Performance measuring Message passing, the MPI library Blocking / non-blocking communication Domain decomposition techniques Different domain decompositions of a FEM model 40

41 Compulsory Elective: Computational Material Modelling 2 CONTENT Algorithms for plasticity Advanced plasticity models Damage Fracture Creep Fatigue 41

optimization Sensitivity analysis Design of Experiments Robustness

42 Compulsory Elective: Optimization CONTENT Mathematical basics, basic algorithms Gradient-based methods Sizing optimization Shape and topology optimization Sensitivity analysis Design of Experiments Robustness Evolutionary/Genetic algorithms Swarm methods, ant colony Multi-criteria optimization Applications 42

43 Some Elective Modules 43

44 Some Elective Modules 44

45 Some Elective Modules 45

46 Elective Modules from other Programs Among the 30 credits for elective modules, 21 ECTS have to be chosen from courses defined in the official curriculum (TUMonline). That means a maximum of 9 credits can be taken from other programs, for example: - Modules from other faculties (e.g. Mechanical Engineering) - Modules from the international ATHENS program Courses offered by the language center of the TUM German language is strongly recommended for international students - Courses from other master programs of the BGCE, mainly CSE (Computational Science and Engineering) 46

47 Examinations (recommended 6 exams à 6 ECTS per semester) Continuum Mechanics (6 ECTS) Computation in Engineering I (6 ECTS) Compulsory Elective I (6 ECTS) Compulsory Elective II (6 ECTS) Software Lab (6 ECTS) Compulsory Elective IV (6 ECTS) Semester 1 = 30 ECTS Advanced Fluid Mechanics (6 ECTS) Finite Element Methods I (6 ECTS) Semester 2 = 30 ECTS Elective Module I (6 ECTS) Elective Module II (6 ECTS) Semester 3 = 30 ECTS Compulsory Elective III (6 ECTS) Elective Module IV (6 ECTS) Semester 4 = 30 ECTS Master thesis (30 ECTS) Comput. Material Modelling I (6 ECTS) Elective Module III (6 ECTS)* Elective Module V (6 ECTS)* TOTAL: 120/120 ECTS 47

48 Bavarian Graduate School of Computational Engineering The Bavarian Graduate School... of Computational Engineering is an association of three Master programs: 1. Computational Engineering (CE) at the Friedrich-Alexander-Universität Erlangen-Nürnberg, 2. Computational Mechanics (COME), and 3. Computational Science and Engineering (CSE) at the Technische Universität München. Master of Science with Honours Students who master the regular program with an above-average grade, and are still able to complete the Honours program, as well, will earn an adequate degree for their outstanding performance - the "Master of Science with Honours". 48

49 Contact Address Questions & Answers TODAY: 4:30-5:30 pm N6, 2 nd floor Room 2630 N6, 2 nd floor, 2630 Prof. Fabian DUDDECK duddeck@tum.de Tel.:

50 Thanks for joining us Have fun and success 50

Technical University of Munich. Facts & Figures 2015/16

Technical University of Munich Facts & Figures 2015/16 Portrait The Technical University of Munich (TUM) is one of Europe s leading for research with a range of disciplines, unparalleled in Germany, including