Search result: Catalogue data in Spring Semester 2021

Mechanical Engineering Master Information
Core Courses
Mechanics, Materials, Structures
The courses listed in this category “Core Courses” are recommended. Alternative courses can be chosen in agreement with the tutor.
151-0116-10LHigh Performance Computing for Science and Engineering (HPCSE) for Engineers II Information W4 credits4GP. Koumoutsakos, S. M. Martin
AbstractThis course focuses on programming methods and tools for parallel computing on multi and many-core architectures. Emphasis will be placed on practical and computational aspects of Uncertainty Quantification and Propagation including the implementation of relevant algorithms on HPC architectures.
ObjectiveThe course will teach
- programming models and tools for multi and many-core architectures
- fundamental concepts of Uncertainty Quantification and Propagation (UQ+P) for computational models of systems in Engineering and Life Sciences
ContentHigh Performance Computing:
- Advanced topics in shared-memory programming
- Advanced topics in MPI
- GPU architectures and CUDA programming

Uncertainty Quantification:
- Uncertainty quantification under parametric and non-parametric modeling uncertainty
- Bayesian inference with model class assessment
- Markov Chain Monte Carlo simulation
Lecture notes
Class notes, handouts
Literature- Class notes
- Introduction to High Performance Computing for Scientists and Engineers, G. Hager and G. Wellein
- CUDA by example, J. Sanders and E. Kandrot
- Data Analysis: A Bayesian Tutorial, D. Sivia and J. Skilling
- An introduction to Bayesian Analysis - Theory and Methods, J. Gosh, N. Delampady and S. Tapas
- Bayesian Data Analysis, A. Gelman, J. Carlin, H. Stern, D. Dunson, A. Vehtari and D. Rubin
- Machine Learning: A Bayesian and Optimization Perspective, S. Theodorides
Prerequisites / NoticeStudents must be familiar with the content of High Performance Computing for Science and Engineering I (151-0107-20L)
151-0232-00LEngineering Acoustics IIW4 credits3GN. Noiray, S. M. Schoenwald, B. Van Damme
AbstractThis course presents the application of fundamental elements in engineering acoustics. It consists of three parts: elastic wave propagation in fluids and solids (including nonlinear, anisotropic and complex materials), sound radiation and transmission in structures, and aero- and thermo-acoustic sources and instabilities.
ObjectiveApplication of the basic concepts of engineering acoustics: acoustic absorption, solid wave propagation, acoustic transmission and sound radiation by reacting and non-reacting flows in complex engineering systems that are relevant to noise control practice. We cover the broad field of modelling, analysis, design and testing of flows, materials and structures with the aim of developing systems which exhibit the targeted acoustical behavior.
ContentWave Attenuation, Vibration Damping, Acoustic Absorption, Sound Transmission, Radiation, Broadband and Tonal Aeroacoustic Noise, Active and Passive Control of Thermoacoustic Instabilities.
Lecture notesDownload during semester.
LiteratureLiterature is given in course material.
Prerequisites / NoticeRequired: Fundamentals of Mechanics and Dynamics / Recommended: Engineering Acoustics I.
151-0304-00LEngineering Design IIW4 credits4GK. Wegener
AbstractDimensioning (strength calculation) of machine parts,
shaft - hub - connections, welded and brazed joints, springs, screws, roller and slide bearings, transmissions, gears, clutch and brake as well as their practical applications.
ObjectiveThe students extend in that course their knowledge on the correct application of machine parts and machine elements including dimensioning. Focus is laid on the acquisition of competency to solve technical problems and judge technical solutions and to correctly apply their knowledge according to operation conditions, functionality and strength calculations.
ContentMachine parts as shaft - hub - connections, welded and brazed joints, springs, screws, roller and slide bearings, transmissions, gears, clutch and brake are discussed. The course covers for all the machine elements their functionality, their application and limits of applicability and the dimensioning is as well as their practical applications. Exercises show the solution of practical problems. Partly practical problems are solved by the students for their own.
Lecture notesScript exists. Price: SFr. 40.-
Prerequisites / NoticePrerequisites:
Basics in design and product development
Dimensioning 1

Credit-conditions / examination:
Partly practical problems are solved by the students for their own. The examination will be in the following examination session. Credits are given after passing the examination.
151-0306-00LVisualization, Simulation and Interaction - Virtual Reality I Information W4 credits4GA. Kunz
AbstractTechnology of Virtual Reality. Human factors, Creation of virtual worlds, Lighting models, Display- and acoustic- systems, Tracking, Haptic/tactile interaction, Motion platforms, Virtual prototypes, Data exchange, VR Complete systems, Augmented reality, Collaboration systems; VR and Design; Implementation of the VR in the industry; Human Computer Interfaces (HCI).
ObjectiveThe product development process in the future will be characterized by the Digital Product which is the center point for concurrent engineering with teams spreas worldwide. Visualization and simulation of complex products including their physical behaviour at an early stage of development will be relevant in future. The lecture will give an overview to techniques for virtual reality, to their ability to visualize and to simulate objects. It will be shown how virtual reality is already used in the product development process.
• Students are able to evaluate and select the most appropriate VR technology for a given task regarding:
o Visualization technologies displays/projection systems/head-mounted displays
o Tracking systems (inertia/optical/electromagnetic)
o Interaction technologies (sensing gloves/real walking/eye tracking/touch/etc.)
• Students are able to develop a VR application
• Students are able to apply VR to industrial needs
• Students will be able to apply the gained knowledge to a practical realization
• Students will be able to compare different operation principles (VR/AR/MR/XR)
ContentIntroduction to the world of virtual reality; development of new VR-techniques; introduction to 3D-computergraphics; modelling; physical based simulation; human factors; human interaction; equipment for virtual reality; display technologies; tracking systems; data gloves; interaction in virtual environment; navigation; collision detection; haptic and tactile interaction; rendering; VR-systems; VR-applications in industry, virtual mockup; data exchange, augmented reality.
Lecture notesA complete version of the handout is also available in English.
Prerequisites / NoticeVoraussetzungen:
Vorlesung geeignet für D-MAVT, D-ITET, D-MTEC und D-INF

Testat/ Kredit-Bedingungen/ Prüfung:
– Teilnahme an Vorlesung und Kolloquien
– Erfolgreiche Durchführung von Übungen in Teams
– Mündliche Einzelprüfung 30 Minuten
151-0314-00LInformation Technologies in the Digital ProductW4 credits3GE. Zwicker, R. Montau
AbstractObjectives, Concepts and Methods of Digitalization, Digital Product and Product Lifecycle Management (PLM), Industry 4.0
Concepts for Digitalization: Product Structures, Optimization of Engineering Processes with digital models in Sales, Production, Service, Digital Twin versus Digital Thread
PLM Fundamentals: Objects, Structures, Processes, Integrations, Visualization
Best Practices
ObjectiveStudents learn the fundamentals and concepts of Digitalization along the in the product lifecycle on the foundation of Product Lifecycle Management (PLM) technologies, the usage of databases, the integration of CAx systems and Visualization/AR, the configuration of computer-based collaboration leveraging IT-standards as well as variant and configuration management to enable an efficient utilization of the digital product approach in industry 4.0.
ContentPossibilities and potential of modern IT applications focussing on PLM and CAx technologies for targeted utilization in the context of product platform - business processes - IT tools. Introduction to the concepts of Product Lifecycle Management (PLM): information modeling, data management, revision, usage and distribution of product data. Structure and functional principles of PLM systems. Integration of new IT technologies in business processes. Possibilities of publication and automatic configuration of product variants via the Internet. Using state-of-the-art information and communication technologies to develop products globally across distributed locations. Interfaces in computer-integrated product development. Selection, configuration, adaptation and introduction of PLM systems. Examples and case studies for industrial usage of modern information technologies.

Learning modules:
- Introduction to Digitalization (Digital Product, PLM technology)
- Database technology (foundation of digitalization)
- Object Management
- Object Classification
- Object identification with Part Numbering Systems
- CAx/PLM integration with Visualization/AR
- Workflow & Change Management
- Interfaces of the Digital Product
- Enterprise Application Integration (EAI)
Lecture notesDidactic concept / learning materials:
The course consists of lectures and exercises based on practical examples.
Provision of lecture handouts and script digitally in Moodle.
Prerequisites / NoticePrerequisites: None
Recommended: Fokus-Project, interest in Digitalization
Lecture appropriate for D-MAVT, D-MTEC, D-ITET and D-INFK

Testat/Credit Requirements / Exam:
- execution of exercises in teams (recommended)
- Oral exam 30 minutes, based on concrete problem cases
151-0318-00LEcodesign - Environmental-Oriented Product DevelopmentW4 credits3GR. Züst
AbstractEcodesign has a great potential to improve the environmental performance of a product.
Main topics of the lecture: Motivation for Ecodesign; Methodical basics (defining environmental aspects; improvement strageies and measures); Ecodesign implementation (systematic guidance on integrating environmental considerations into product development) in a small project.
ObjectiveExperience shows that a significant part of the environmental impact of a business venture is caused by its own products in the pre and post-production areas. The goal of eco design is to reduce the total effect of a product on the environment in all phases of product life. The systematic derivation of promising improvement measures at the start of the product development process is a key skill that will be taught in the lectures.
The participants will discover the economic and ecological potential of ECODESIGN and acquire competence in determining goal-oriented and promising improvements and will be able to apply the knowledge acquired on practical examples.
ContentDie Vorlesung ist in drei Blöcke unterteilt. Hier sollen die jeweiligen Fragen beantwortet werden:
A) Motivation und Einstieg ins Thema: Welche Material- und Energieflüsse werden durch Produkte über alle Lebensphasen, d.h. von der Rohstoffgewinnung, Herstellung, Distribution, Nutzung und Entsorgungen verursacht? Welchen Einfluss hat die Produktentwicklung auf diese Auswirkungen?
B) Grundlagen zum ECODESIGN PILOT: Wie können systematisch – über alle Produktlebensphasen hinweg betrachtet – bereits zu Beginn der Produktentwicklung bedeutende Umweltauswirkungen erkannt werden? Wie können zielgerichtet diejenigen Ecodesign-Maßnahmen ermittelt werden, die das größte ökonomische und ökologische Verbesserungspotential beinhalten?
C) Anwendung des ECODESIGN PILOT: Welche Produktlebensphasen bewirken den größten Ressourcenverbrauch? Welche Verbesserungsmöglichkeiten bewirken einen möglichst großen ökonomischen und ökologischen Nutzen?
Im Rahmen der Vorlesung werden verschiedene Praktische Beispiel bearbeitet.
Lecture notesFür den Einstieg ins Thema ECODESIGN wurde verschiedene Lehrunterlagen entwickelt, die im Kurs zur Verfügung stehen und teilwesie auch ein "distance learning" ermöglichen:

Lehrbuch: Wimmer W., Züst R.: ECODESIGN PILOT, Produkt-Innovations-, Lern- und Optimierungs-Tool für umweltgerechte Produktgestaltung mit deutsch/englischer CD-ROM; Zürich, Verlag Industrielle Organisation, 2001. ISBN 3-85743-707-3

CD: im Lehrbuch inbegriffen (oder Teil "Anwenden" on-line via:
Internet: vermittelt verschiedene weitere Zugänge zum Thema. Zudem werden CD's abgegeben, auf denen weitere Lehrmodule vorhanden sind.
LiteratureHinweise auf Literaturen werden on-line zur Verfügung gestellt.
Prerequisites / NoticeTestatbedingungen: Abgabe von zwei Übungen
151-0324-00LEngineering Design with Polymers and Polymer Composites Information W4 credits2V + 1UG. P. Terrasi
AbstractScope of neat and fibre reinforced polymers (FRP) for load bearing applications. State-of-the-art and trends. Design procedures for neat polymers under sustained, combined, and fatigue loading conditions. Stability and brittle fracture issues. Composition of FRP. Properties of fibre and matrix materials. Processing and design of FRP: laminate and net theory, stability, creep and fatigue behaviour.
ObjectiveImpart the basics to future mechanical, civil, and materials engineers for the engineering design with neat polymers and fibre reinforced polymers (FRP) for load bearing applications. In parallel to the presentation of the basics many practical applications will be treated in detail.
Content1. Introduction

1.1 Retrospective view
1.2 State-of-the-art
1.3 Prospects for the future
1.4 References

2. Engineering design with neat polymers and with random-oriented fibre
reinforced polymers

2.1 Scope of applications
2.2 Static loading
2.21 Tensile- and compressive loading
2.22 Flexural loading
2.23 Combined loading
2.24 Buckling
2.3 Fatigue
2.4 Brittle failure
2.5 Variable loading
2.6 Thermal stresses
2.7 To be subjected to aggressive chemicals
2.8 Processing of neat polymers
2.9 References

3. Composition and manufacturing techniques for fibre reinforced

3.1 Introduction
3.2 Materials
3.21 Matrices
3.22 Fibres
3.3 Manufacturing techniques
3.31 Hand lay-up moulding
3.32 Directed fibre spray-up moulding
3.33 Low pressure compression moulding
3.34 High pressure compression moulding
3.35 Pultrusion
3.36 Centrifugal casting
3.37 Filament winding
3.38 Robots
3.39 Remarks about the design of moulds
3.4 References

4. Engineering design with high performance fibre reinforced polymers

4.1 Introduction
4.2 The unidirectional ply (or lamina)
4.21 Stiffness of the unidirectional ply
4.22 Thermal properties of the unidirectional ply
4.23 Failure criteria for the unidirectional ply
4.3 rules fort he design of components made out of high performance fibre
reinforced polymers
4.4 Basics of the net theory
4.41 Assumptions and definitions
4.42 Estimation of the fibre forces in a plies
4.5 Basics of the classical laminate theory (CLT)
4.51 Assumptions and definitions
4.52 Elastic constants of multilayer laminate
4.53 Strains and curvatures in a multilayer laminate due to mechanical
4.54 Calculation of the stresses in the unidirectional plies due to mechanical loading
4.55 Strains and curvatures in a multilayer laminate due to mechanical and thermal loading
4.56 Calculation of the stresses in the unidirectional plies due to mechanical and thermal loading
4.57 Procedure of stress analysis
4.58 Taking account of the non-linear behaviour of the matrix
4.59 Admissible stresses, evaluation of existing stresses
4.6 Puck’s action plane fracture criteria
4.7 Selected problems of buckling
4.8 Selected problems of fatigue
4.9 References
Lecture notesThe script will be distributed at the beginning of the course
LiteratureThe script is including a comprehensive list of references
151-0332-00LInterdisciplinary Product Development: Definition, Realisation and Validation of Product Concepts Restricted registration - show details
Number of participants limited to: 5 (ETHZ) + 20 (ZHdK)

To apply for the course please create a pdf of 2+ Pages describing yourself and your motivation for the course as well as one or more of your former development projects. Please add minimum one picture and your CV as well, send the pdf to
W4 credits2G + 4AM. Schütz
AbstractThis course is offered by the Design and Technology Lab Zurich, a platform where students from the disciplines industrial design (ZHdK) and mechanical engineering (ETH) can learn, meet and perform projects together. In interdisciplinary teams the students develop a product by applying methods used in the different disciplines within the early stages of product development.
ObjectiveThis interdisciplinary course has the following learning objectives:
- to learn and apply methods of the early stages of product development from both fields: mechanical engineering and industrial design
- to use iterative and prototyping-based development (different types of prototypes and test scenarios)
- to run through a development process from product definition to final prototype and understand the mechanisms behind it
- to experience collaboration with the other discipline and learn how to approach and deal with any appearing challenge
- to understand and experience consequences which may result of decision taken within the development process
ContentAt the end of the course each team should present an innovative product concept which convinces from both, the technical as well as the design perspective. The product concept should be presented as functioning prototype.

The learning objectives will be reached with the following repeating cycle:
1) input lectures
The relevant theoretical basics will be taught in short lectures by different lecturers from both disciplines, mechanical engineering an industrial design. The focus is laid on methods, processes and principles of product development.
2) team development
The students work on their projects individually and apply the taught methods. At the same time, they will be coached and supported by mentors to pass through the product development process successfully.
3) presentation
Important milestones are presented and discussed during the course, thus allowing teams to learn from each other.
4) reflection
The students deepen their understanding of the new knowledge and learn from failures. This is especially important if different disciplines work together and use methods from both fields.
Lecture notesHands out after input lectures
Prerequisites / NoticeNumber of participants limited to: 5 (ETHZ) + 20 (ZHdK)

To apply for the course please create a pdf of 2+ Pages describing yourself and your motivation for the course as well as one or more of your former development projects. Please add minimum one picture and Your CV as well, send the pdf to
151-0366-00LAircraft Structures Information W4 credits2V + 1UP. Ermanni
AbstractThis course deals with the structural design, stress analysis and sizing of aircraft structures. The course, which is building-up on fundamental knowledge in mechanics and lightweight structures, also includes tutorials, discussion of practical cases and lab demonstrations. The complementary exercises include hand calculations and the usage of finite element tools.
ObjectiveDevelop the necessary skills to identify and solve typical engineering problems related to structural design, stress analysis and sizing of aircraft structures, such as wings and fuselage sections and their subcomponents. Familiarize yourself with the typical loads within aircraft structures and with the function of the different structural elements found in fuselages and wings.
ContentThe course is addressing the following topics:

- Introduction
- Aircraft loads and aircraft design
- Materials and allowables in aircraft structures
- Wing and empennage structures: Design and Modelling aspects, Multi-Cell Design, ribs, cutouts, and shear lag
- Plane stress elements and load introduction
- Fuselage structures: Design and modelling aspects, buckling strength, design and analysis of fuselage frames
- Diagonal semi-tension field design
- Static and buckling analysis of cylindrical shells

Laboratory demonstrations:
- Structural test of a vertical empennage
- Stress concentration in panels with cutouts
- Buckling of cylindrical shells
Lecture notesLecture notes, handouts, exercises, and the script are available for download in a digital format. The lecture materials can be found via the lecture webpage ( or directly via the moodle page (
Prerequisites / NoticeAttendance at Bachelor course "Leichtbau" (Lightweight Construction) or equivalent is recommended. Previous knowledge of buckling, profile failure, shear flow, and calculation of semi monocoques is required.
151-0513-00LMechanics of Soft Materials and TissuesW4 credits3GA. E. Ehret
AbstractAn introduction to concepts for the constitutive modelling of highly deformable materials with non-linear properties is given in application to rubber-like materials and soft biological tissues. Related experimental methods for materials characterization and computational methods for simulation are addressed.
ObjectiveThe objective of the course is to provide an overview of the wide range of non-linear mechanical behaviors displayed by soft materials and tissues together with a basic understanding of their physical origin, to familiarize students with appropriate mathematical concepts for their modelling, and to illustrate the application of these concepts in different fields in mechanics.
ContentSoft solids: rubber-like materials, gels, soft biological tissues
Non-linear continuum mechanics: kinematics, stress, balance laws
Mechanical characterization: experiments and their interpretation
Constitutive modeling: basic principles
Large strain elasticity: hyperelastic materials
Rubber-elasticity: statistical vs. phenomenological models
Biomechanics of soft tissues: composites, anisotropy, heterogeneity
Dissipative behavior: examples and the concept of internal variables.
Lecture notesAccompanying learning materials will be provided or made available for download during the course.
LiteratureRecommended text:
G.A. Holzapfel, Nonlinear Solid Mechanics - A continuum approach for engineering, 2000
L.R.G. Treloar, The physics of rubber elasticity, 3rd ed., 2005
P. Haupt, Continuum Mechanics and Theory of Materials, 2nd ed., 2002
Prerequisites / NoticeBasic knowledge in continuum mechanics is recommended.
151-0515-00LContinuum Mechanics 2W4 credits2V + 1UE. Mazza, R. Hopf
AbstractAn introduction to finite deformation continuum mechanics and nonlinear material behavior. Coverage of basic tensor- manipulations and calculus, descriptions of kinematics, and balance laws . Discussion of invariance principles and mechanical response functions for elastic materials.
ObjectiveTo provide a modern introduction to the foundations of continuum mechanics and prepare students for further studies in solid
mechanics and related disciplines.
Content1. Tensors: algebra, linear operators
2. Tensors: calculus
3. Kinematics: motion, gradient, polar decomposition
4. Kinematics: strain
5. Kinematics: rates
6. Global Balance: mass, momentum
7. Stress: Cauchy's theorem
8. Stress: alternative measures
9. Invariance: observer
10. Material Response: elasticity
Lecture notesNone.
LiteratureRecommended texts:
(1) Nonlinear solid mechanics, G.A. Holzapfel (2000).
(2) An introduction to continuum mechanics, M.B. Rubin (2003).
151-0516-00LNon-smooth Dynamics
Diese Lerneinheit wird zum letzten Mal im FS21 angeboten.
W5 credits5GC. Glocker
AbstractInequality problems in dynamics, in particular friction and impact problems with discontinuities in velocity and acceleration. Mechanical models of unilateral contacts, friction, sprag clutches, pre-stressed springs. Formulation by set-valued maps as linear complementarity problems. Numerical time integration of the combined friction impact contact problem.
ObjectiveThe lecture provides the students an introduction to modern methods for inequality problems in dynamics. The contents of the lecture are fitted to frictional contact problems in mechanics, but can be transferred to a large class of inequality problems in technical sciences. The purpose of the lecture is to acquaint the students with a consistent generalization of classical mechanics towards systems with discontinuities, and to make them familiar with inequalities treated as set-valued constitutive laws.
Content1. Kinematik: Drehung, Geschwindigkeit, Beschleunigung, virtuelle Verschiebung.
2. Aufbau der Mechanik: Definition der Kraft, virtuelle Arbeit, innere und äussere Kräfte, Wechselwirkungsprinzip, Erstarrungsprinzip, mathematische Form des Freischneidens, Definition der idealen Bindung.
3. Starre Körper: Variationelle Form der Gleichgewichtsbedingungen, Systeme starrer Körper, Übergang auf Minimalkoordinaten.
4. Einfache generalisierte Kräfte: Generalisierte Kraftrichtungen, Kinematik der Kraftelemente, Kraftgesetze, Parallel- und Reihenschaltung.
5. Darstellung mengenwertiger Kraftgesetze: Normalkegel, proximale Punkte, exakte Regularisierung. Anwendung auf einseitige Kontakte und Coulomb-Reibgesetze.
6. Stossfreie und stossbehaftete Bewegung: Bewegungsgleichung, Stossgleichung, Newton-Stossgesetze, Diskussion von Mehrfachstössen, Kane's Paradoxon.
7. Numerische Behandlung: Lineares Komplementaritätsproblem (LCP), Zeitdiskretisierung nach Moreau, Kontaktproblem in lokalen Koordinaten als LCP.
Lecture notesEs gibt kein Vorlesungsskript. Den Studierenden wird empfohlen, eine eigene Mitschrift der Vorlesung anzufertigen. Ein Katalog mit Übungsaufgaben und den zugehörigen Musterlösungen wird ausgegeben.
Prerequisites / NoticeKinematik und Statik & Dynamics
151-0518-00LComputational Mechanics I: Intro to FEAW4 credits4GD. Kochmann
AbstractNumerical methods and techniques for solving initial boundary value problems in solid mechanics (heat conduction, static and dynamic mechanics problems of solids and structures). Finite difference methods, indirect and direct techniques, variational methods, finite element (FE) method, FE analysis in small strains for applications in structural mechanics and solid mechanics.
ObjectiveTo understand the concepts and application of numerical techniques for the solution of initial boundary value problems in solid and structural mechanics, particularly including the finite element method for static and dynamic problems.
Content1. Introduction, direct and indirect numerical methods. 2. Finite differences, stability analysis. 3. Variational methods. 4. Finite element method. 5. Structural elements (bars and beams). 6. 2D and 3D solid elements (isoparametric and simplicial elements), numerical quadrature. 7. Assembly, solvers, finite element technology. 8. Dynamics, vibrations. 9. Selected topics in finite element analysis.
Lecture notesLecture notes will be provided. Students are strongly encouraged to take their own notes during class.
LiteratureNo textbook required; relevant reference material will be suggested.
Prerequisites / NoticeMechanics 1 & 2 and Dynamics.
151-0520-00LMultiscale ModelingW4 credits3GD. Kochmann
AbstractTheoretical foundations and numerical applications of multiscale modeling in solid mechanics, from atomistics all the way up to the macroscopic continuum scale with a focus on scale-bridging methods (including the theory of homogenization, computational homogenization techniques, modeling by methods of atomistics, coarse-grained atomistics, mesoscale models, multiscale constitutive modeling).
ObjectiveTo acquire the theoretical background and practical experience required to develop and use theoretical-computational tools that bridge across scales in the multiscale modeling of solids.
ContentMicrostructure and unit cells, theory of homogenization, computational homogenization by the finite element method and Fourier-based techniques, discrete-to-continuum coupling methods, atomistics and molecular dynamics, coarse-grained atomistics for crystalline solids, quasicontinuum techniques, analytical upscaling methods and models, multiscale constitutive modeling, selected topics of multiscale modeling.
Lecture notesLecture notes and relevant reading materials will be provided.
LiteratureNo textbook is required. Reference reading materials are suggested.
Prerequisites / NoticeContinuum Mechanics I or II and Computational Mechanics I or II (or equivalent).
151-0522-00LCase Studies in Computer Aided Engineering - Applied FEMW4 credits3GD. Valtorta
AbstractThis is a modeling and simulation engineering class. The course shows how Simulation with the Finite Element Method proves itself to be an useful tool in engineering problems to solve challenging and complex tasks and to deal with the physics of analyzed systems.
ObjectiveThe aim of the course is to introduce students to the simulation-based engineering design with CAE methods. Different case studies demonstrating the application of CAE in different engineering disciplines will be disclosed with the contribution of experts and examples from industries and research institutions. Class will focus on engineering approach to be used to analyze challenging problems. It will then address problem idealization throughout modeling techniques, to be worked out by state of the art simulation selected from industries case studies. Validation of simulation models compared to evidence from experimental method will then be discussed.
ContentDifferent case studies demonstrating the application of CAE methods in a variety of engineering disciplines will be presented. Application of CAE methods will be mainly focused on structural mechanics area. However an overview of possible applications involving fluid dynamics and electromagnetics will provide students with a complete scenario of multiphysics simulations. Students shall choose 2 different subjects among the case studies presented, practice the engineering workflow and solve complex problems by building simplified simulation models, using FEA software. The results of their investigations will be summarized in a technical report and a short presentation, which will then be discussed during oral examination
Lecture notesLecture notes will be shared with students on Moodle throughout the semester.
LiteratureNo textbook required. Theory books will be recommended in each lecture for selected topics.
Prerequisites / NoticeFE Toolkurs recommended, but not mandatory.
151-0528-00LTheory of Phase TransitionsW4 credits3GL. Guin, D. Kochmann
AbstractThis course addresses two major examples of phase transitions, namely solid-solid phase transformations and solidification. We focus on the modeling of the propagation of phase boundaries (surface of strain discontinuity or solidification front) in continuum media. Both the sharp-interface model and related numerical modeling techniques based on the phase-field method are introduced.
ObjectiveThe students are able to:
- Use mechanical and/or thermodynamic balance laws to formulate a continuum model for problems involving phase transformations in 1D, 2D, and 3D.
- Distinguish between the different modeling techniques used for the propagation of phase boundaries and discuss their underlying assumptions.
- Apply the concepts of thermodynamics to continuous media in order to derive thermodynamically consistent models.
- Model the evolution of a solidification front using the phase-field method.
Content1. Mechanics of bars
2. The Ericksen’s bar problem: solid-solid phase transformation in 1D
3. Review of classical thermodynamics
4. Continuum theory for phase boundaries in 3D
5. Solidification: a free-boundary problem with interfacial structure
6. Phase-field model for solidification
7. Selected topics involving phase transitions
Lecture notesLecture notes will be provided for reference. Students are strongly encouraged to take their own notes during class.
LiteratureNo textbook required; relevant reference material will be suggested.
Prerequisites / NoticeContinuum Mechanics I. Having taken or taking Continuum Mechanics II in parallel would be helpful.
151-0530-00LNonlinear Dynamics and Chaos IIW4 credits4GG. Haller
AbstractThe internal structure of chaos; Hamiltonian dynamical systems; Normally hyperbolic invariant manifolds; Geometric singular perturbation theory; Finite-time dynamical systems
ObjectiveThe course introduces the student to advanced, comtemporary concepts of nonlinear dynamical systems analysis.
ContentI. The internal structure of chaos: symbolic dynamics, Bernoulli shift map, sub-shifts of finite type; chaos is numerical iterations.

II.Hamiltonian dynamical systems: conservation and recurrence, stability of fixed points, integrable systems, invariant tori, Liouville-Arnold-Jost Theorem, KAM theory.

III. Normally hyperbolic invariant manifolds: Crash course on differentiable manifolds, existence, persistence, and smoothness, applications.
IV. Geometric singular perturbation theory: slow manifolds and their stability, physical examples. V. Finite-time dynamical system; detecting Invariant manifolds and coherent structures in finite-time flows
Lecture notesStudents have to prepare their own lecture notes
LiteratureBooks will be recommended in class
Prerequisites / NoticeNonlinear Dynamics I (151-0532-00) or equivalent
151-0534-00LAdvanced DynamicsW4 credits3V + 1UP. Tiso
AbstractLagrangian dynamics - Principle of virtual work and virtual power - holonomic and non holonomic contraints - 3D rigid body dynamics - equilibrium - linearization - stability - vibrations - frequency response
ObjectiveThis course provides the students of mechanical engineering with fundamental analytical mechanics for the study of complex mechanical systems .We introduce the powerful techniques of principle of virtual work and virtual power to systematically write the equation of motion of arbitrary systems subjected to holonomic and non-holonomic constraints. The linearisation around equilibrium states is then presented, together with the concept of linearised stability. Linearized models allow the study of small amplitude vibrations for unforced and forced systems. For this, we introduce the concept of vibration modes and frequencies, modal superposition and modal truncation. The case of the vibration of light damped systems is discussed. The kinematics and dynamics of 3D rigid bodies is also extensively treated.
Lecture notesLecture notes are produced in class and are downloadable right after each lecture.
LiteratureThe students will prepare their own notes. A copy of the lecture notes will be available.
Prerequisites / NoticeMechanics III or equivalent; Analysis I-II, or equivalent; Linear Algebra I-II, or equivalent.
151-0540-00LExperimental MechanicsW4 credits2V + 1UJ. Dual, T. Brack
Abstract1. General aspects like transfer functions, vibrations, modal analysis, statistics, digital signal processing, phase locked loop, 2. Optical methods 3. Piezoelectricity 4. Electromagnetic excitation and detection 5. Capacitive Detection
ObjectiveUnderstanding, quantitative modelling and practical application of experimental methods for producing and measuring mechanical quantities (motion, deformation, stresses,..)
Content1. General Aspects: Measurement chain, transfer functions, vibrations and waves in continuous systems, modal analysis, statistics, digital signal analysis, phase locked loop. 2. Optical methods ( acousto optic modulation, interferometry, holography, photoelasticity, shadow optics, Moire methods ) 3. Piezoelectric materials: basic equations, applications, accelerometer ) 4. Electomagnetic excitation and detection, 5. Capacitive detection
Practical training and homeworks
Lecture notesno
Prerequisites / NoticePrerequisites: Mechanics I to III, Physics, Elektrotechnik
151-0544-00LMetal Additive Manufacturing - Mechanical Integrity and Numerical Analysis
Does not take place this semester.
W4 credits3G
AbstractAn introduction to Metal Additive Manufacturing (MAM) (e.g. different techniques, the metallurgy of common alloy-systems, existing challenges) will be given. The focus of the lecture will be on the employment of different simulation approaches to address MAM challenges and to enable exploiting the full advantage of MAM for the manufacture of structures with desired property and functionality.
ObjectiveThe main objectives of this lecture are:
- Acknowledging the possibilities and challenges for MAM (with a particular focus on mechanical integrity aspects),
- Understanding the importance of material science and metallurgical considerations in MAM,
- Appreciating the importance of thermal, fluid, mechanical and microstructural simulations for efficient use of MAM technology,
- Using different commercial analysis tools (COMSOL, ANSYS, ABAQUS) for simulation of the MAM process.
ContentPreliminary lecture schedule:
- Introduction to MAM (concept, application examples, pros & cons),
- 2x Powder-bed and powder-blown metal additive manufacturing,
- Thermo-fluid analysis of additive manufacturing,
- Continuum-based thermal modelling and experimental validation techniques,
- Residual stress and distortion simulation and verification methods,
- 2x Microstructural simulation (basics, analytical, kinetic Monte Carlo, cellular automata, phase-field),
- Mechanical property prediction for MAM,
- 3x Microstructure and mechanical response of MAM material (steels, Ti6Al4V, Inconel, Al alloys),
- Design for additive manufacturing
- Artificial intelligence for AM
Exercise sessions use COMSOL, ANSYS, ABAQUS packages for analysis of MAM process. Detailed video-instructions will be provided to enable students setting up their own simulations. COMSOL, ANSYS and ABAQUS agreed to support the course by providing licenses for the course attendees and therefore the students can install the packages on their own systems.
Lecture notesHandouts of the presented slides.
LiteratureNo textbook is available for the course (unfortunately), since it is a dynamic and relatively new topic. In addition to the material presented in the course slides, suggestions/recommendations for additional literature/publications will be given (for each individual topic).
Prerequisites / NoticeA basic knowledge of mechanical analysis, metallurgy, thermodynamics is recommended.
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