Lectures

Wichtig:
Liebe Studierende, wenn Sie daran interessiert sind, an unserem Modul teilzunehmen, können Sie sich gern direkt über Stud.ip-Link ohne Passwortbeschränkung anmelden, sobald das Modul auf Stud.ip eingestellt wurde. Kurz vor Semesterbeginn werden wir Sie über Stud.ip mit weiteren Details über den Ablauf der Lehrveranstaltung und den Zugang zu Vorlesungs- und Übungsunterlagen kontaktieren. Wir freuen uns auf Ihr Interesse und Ihre Teilnahme.

Important:
Dear prospective students, if you are interested in enrolling in our module, please register via Stud.ip. The Stud.ip registration will be accessible soon and you will not need a password to enrol. We will contact you in due course via Stud.ip and communicate details on the course organization as well as the access to lecture and exercise materials. We look forward to welcoming you in class.

Lecture

Dr. Fabian Sewerin, Dr.-Ing. Robert Seydewitz

Time: Wednesday, 14:00 – 15:30 and 15:45 – 16:30
Room: LK 6.2

Exam information
This term's exam will take place in rooms LK 6 / 007 and LK 6 / Adaptroniklabor on 19/08/2020 from 10:45am-12:45pm. The examination will encompass computer-based part (30 min) as well as an oral part (30 min).
If you have registered to take this exam, we will contact you in due course with further details on the coordination of the examination slots.

Exercise

M.Sc. Lisa Klemm

Time: Wednesday, 14:00 – 15:30 and 15:45 – 16:30, alternating with lecture
Room: LK 6.2

General information
After completing this class, students will be familiar with a typical commercial finite element (FE) software that is used both in industry and in academia for practical and research purposes. The students will learn how to evaluate and improve the quality of numerical results by using different solution techniques. Based on canonical and complicated test cases, the students will examine aspects of computational expense, mesh quality, convergence and problems or pitfalls that are relevant to the practitioner.
Basic knowledge of linear and nonlinear finite element methods is recommended, albeit not mandatory

Contents

• Introduction to FEM and Abaqus
• Coupled problems
• Contact problems
• Plasticity
• Dynamic problems
• Beam and shell elements

Documentation
Further information/lecture notes will be available on StudIp at the beginning of term.

Recommended literature

Fundamentals of Finite Element Analysis
Hutton
McGraw-Hill, 2004.

Finite Element Analysis – Theory and Practice
Fagan
Lomgman Scientific and Technical, 1992.

The Finite Element Method - A Practical Course
Liu, Quek
Butterworth-Heinemann, 2003.

Wichtig:
Liebe Studierende, wenn Sie daran interessiert sind, an unserem Modul teilzunehmen, können Sie sich gern direkt über Stud.ip-Link ohne Passwortbeschränkung anmelden, sobald das Modul auf Stud.ip eingestellt wurde. Kurz vor Semesterbeginn werden wir Sie über Stud.ip mit weiteren Details über den Ablauf der Lehrveranstaltung und den Zugang zu Vorlesungs- und Übungsunterlagen kontaktieren. Wir freuen uns auf Ihr Interesse und Ihre Teilnahme.

Important:
Dear prospective students, if you are interested in enrolling in our module, please register via Stud.ip. The Stud.ip registration will be accessible soon and you will not need a password to enrol. We will contact you in due course via Stud.ip and communicate details on the course organization as well as the access to lecture and exercise materials. We look forward to welcoming you in class.

Lecture

Dr. Fabian Sewerin, Dr.-Ing. Robert Seydewitz

Time: Friday, 08:30 – 10:00 and 10:15 – 11:00

Exercise

M.Sc. Lisa Klemm

Time: Friday, 8:30 – 10:00 and 10:15 – 11:00, alternating with lecture
Room: LK 6.2

General information
After completing this class, students will be familiar with a typical commercial finite element (FE) software that is used both in industry and in academia for practical and research purposes. The students will learn how to evaluate and improve the quality of numerical results by using different solution techniques. Based on canonical and complicated test cases, the students will examine aspects of computational expense, mesh quality, convergence and problems or pitfalls that are relevant to the practitioner.
Basic knowledge of linear and nonlinear finite element methods is recommended, albeit not mandatory.

Contents

• Introduction to FEM and Abaqus
• Coupled problems
• Contact problems
• Plasticity
• Dynamic problems
• Beam and shell elements

Documentation
Further information/lecture notes will be available on StudIp at the beginning of term.

Recommended literature

Fundamentals of Finite Element Analysis
Hutton
McGraw-Hill, 2004.

Finite Element Analysis – Theory and Practice
Fagan
Lomgman Scientific and Technical, 1992.

The Finite Element Method - A Practical Course
Liu, Quek
Butterworth-Heinemann, 2003.

Wichtig:
Liebe Studierende, wenn Sie daran interessiert sind, an unserem Modul teilzunehmen, können Sie sich gern direkt über Stud.ip-Link ohne Passwortbeschränkung anmelden, sobald das Modul auf Stud.ip eingestellt wurde. Kurz vor Semesterbeginn werden wir Sie über Stud.ip mit weiteren Details über den Ablauf der Lehrveranstaltung und den Zugang zu Vorlesungs- und Übungsunterlagen kontaktieren. Wir freuen uns auf Ihr Interesse und Ihre Teilnahme.

Important:
Dear prospective students, if you are interested in enrolling in our module, please register via Stud.ip. The Stud.ip registration will be accessible soon and you will not need a password to enrol. We will contact you in due course via Stud.ip and communicate details on the course organization as well as the access to lecture and exercise materials. We look forward to welcoming you in class.

Lecture

Dr. phil. Kay Leichsenring

Time: Tuesday, 09:00 – 12:00 Uhr
Room: LK 8 UG -123

Laboratory exercise

Dr. phil. Kay Leichsenring

Time: The appointments for the experiments will be given in the first meeting
Room: LK 8 UG -123

General information
An essential requirement for the understanding of load bearing mechanisms in materials as well as for the development of new innovative material models are experimental analyses of these materials. These analyses in turn, require a basic mechanical understanding. In this course, the students will learn about the most important measuring methods for force, voltage and deformation measurement on different scales as well as methods (partly numerical) for the material parameter identification/evaluation. The focus of this course is the independent realisation of experiments by the students. In the lecture (1 SWS) the theoretical fundamentals of measurement methods as well as parameter identification methods are briefly taught before the students carry out extensive experimental examinations within the framework of laboratory exercises (2 SWS).

Contents

• Different types of measurement methods
• Optical measurement methods
• Different material testing methods
• Scale- and field-dependent measurement methods, multiscale/multifield measurement methods
• Methods of parameter identification
• Basics of statistics
• Application of material parameters in material models

Documentation
Further information/lecture notes will be available on StudIp at the beginning of the lectures

Recommended literature

Sciammarella, Sciammarella
Experimental Mechanics of Solids
John Wiley & Sons Ltd. 2012

Proulx
Experimental and Applied Mechanics
Publisher: Springer 2011

Molimard
Experimental Mechanics of Solids and Structures
John Wiley & Sons Ltd. 2016S

Wichtig:
Liebe Studierende, wenn Sie daran interessiert sind, an unserem Modul teilzunehmen, können Sie sich gern direkt über Stud.ip-Link ohne Passwortbeschränkung anmelden, sobald das Modul auf Stud.ip eingestellt wurde. Kurz vor Semesterbeginn werden wir Sie über Stud.ip mit weiteren Details über den Ablauf der Lehrveranstaltung und den Zugang zu Vorlesungs- und Übungsunterlagen kontaktieren. Wir freuen uns auf Ihr Interesse und Ihre Teilnahme.

Important:
Dear prospective students, if you are interested in enrolling in our module, please register via Stud.ip. The Stud.ip registration will be accessible soon and you will not need a password to enrol. We will contact you in due course via Stud.ip and communicate details on the course organization as well as the access to lecture and exercise materials. We look forward to welcoming you in class.

Lecture

Dr. Fabian Sewerin, Dr.-Ing. Robert Seydewitz

Time: Thursday, 11:30 - 13:00
Room: PK 4.4

Exercise

M.Sc. Robin Trostorf

Time: Thursday, 13:15 - 14:00
Room: PK 4.4

General information
The aim of this lecture is to provide a general introduction into the linear finite element method. In the first years, students of mechanical engineering learn the basic equations for modeling mechanical systems in the limit of small deformations. If the geometry and boundary conditions of a problem are more complicated, the use of a numerical approach for its solution is frequently required. One of the most common numerical solution schemes in solid mechanics is the finite element method. Here, the differential equation describing the displacements of a mechanical system are solved by decomposing the domain and introducing a discretisation based on small entities that are called “finite elements”. In addition to purely mechanical problems, stationary heat transfer problems are also investigated.
Basic knowledge of mechanics is recommended but not mandatory.

Contents

• Introduction
• Modelling 1-D problems
• 1D - Continuum element
• Beam element
• Notation
• Bilinear quadrilateral element
• 2D - Continuum element
• Thermal elements
• Triangular element
• Numerical integration

Documentation
Further information/lecture notes will be available on StudIp at the beginning of the lectures.

Recommended literature

Fundamentals of Finite Element Analysis
Hutton
McGraw-Hill, 2004.

Finite Element Analysis – Theory and Practice
Fagan
Lomgman Scientific and Technical, 1992.

The Finite Element Method - A Practical Course
Liu, Quek
Butterworth-Heinemann, 2003.

Wichtig:
Liebe Studierende, wenn Sie daran interessiert sind, an unserem Modul teilzunehmen, können Sie sich gern direkt über Stud.ip-Link ohne Passwortbeschränkung anmelden, sobald das Modul auf Stud.ip eingestellt wurde. Kurz vor Semesterbeginn werden wir Sie über Stud.ip mit weiteren Details über den Ablauf der Lehrveranstaltung und den Zugang zu Vorlesungs- und Übungsunterlagen kontaktieren. Wir freuen uns auf Ihr Interesse und Ihre Teilnahme.

Important:
Dear prospective students, if you are interested in enrolling in our module, please register via Stud.ip. The Stud.ip registration will be accessible soon and you will not need a password to enrol. We will contact you in due course via Stud.ip and communicate details on the course organization as well as the access to lecture and exercise materials. We look forward to welcoming you in class.

Lecture

Dr.-Ing. Robert Seydewitz

Time: Wednesday, 08:00 - 09:30
Room: SN 19.4

Exercise

M.Sc. Kian Karimian

Time: Wednesday, 09:45 - 10:30
Room: SN 19.4

General information
After completing this module, students have acquired the knowledge of fundamental correlations between elasticity theory and the mathematical description for various shell structures and complex material behaviour.

Contents

• Stress/Strain
• Kinematics
• Theory of three-dimensional elasticity
• Airy stress function
• Membranes
• Axisymmetric shell
• Plates
• Modelling of inelastic material behaviour (viscoelasticity)

Documentation
Further information/lecture notes will be available on StudIp at the beginning of the lectures.

Recommended literature

D. Gross, P. Wriggers, W. Hauger:
Technische Mechanik, Band 4: Hydromechanik, Elemente der Höheren Mechanik, Numerische Methoden,
8. Auflage, Springer Berlin Heidelberg, 2011
ISBN: 978-3-642-16828-4 (Online-Ausg.), 978-3-642-16827-7 (Printausgabe)

W. Schnell, D. Gross, W. Hauger, J. Schröder, W. A. Wall:
Technische Mechanik, Band 2: Elastostatik,
10., neu bearb. Auflage, Springer Berlin Heidelberg, 2009,
ISBN: 978-3-642-00565-7 (Online-Ausg.), 978-3-642-00564-0 (Printausgabe)

J. Wittenburg, E. Pestel:
Festigkeitslehre: Ein Lehr- und Arbeitsbuch. Klassiker der Technik 32,
3. Auflage 2001, Nachdruck in veränderter Ausstattung 2011, Springer-Verlag Berlin Heidelberg, 2011,
ISBN: 978-3-642-56457-4 (Online-Ausg.), 978-3-642-20912-3 (Printausgabe)

S. Timoshenko, S. Woinowsky-Krieger:
Theory of Plates and Shells,
2nd edition, McGraw-Hill Book Company, Inc., New York Toronto London, 1959

L. E. Malvern:
Introduction to the mechanics of a continuous medium,
Prentice-Hall, Englewood Cliffs, NJ, 1969,
ISBN: 0-13-487603-2

I. N. Bronstein, K. A. Semendjajew, G. Musiol, H. Mühlig:
Taschenbuch der Mathematik,
5. überarbeitete und erweiterte Auflage,
Verlag Harri Deutsch, 2000 (Nachdruck 2001),
ISBN: 3-8171-2005-2

Wichtig:
Liebe Studierende, wenn Sie daran interessiert sind, an unserem Modul teilzunehmen, können Sie sich gern direkt über Stud.ip-Link ohne Passwortbeschränkung anmelden, sobald das Modul auf Stud.ip eingestellt wurde. Kurz vor Semesterbeginn werden wir Sie über Stud.ip mit weiteren Details über den Ablauf der Lehrveranstaltung und den Zugang zu Vorlesungs- und Übungsunterlagen kontaktieren. Wir freuen uns auf Ihr Interesse und Ihre Teilnahme.

Important:
Dear prospective students, if you are interested in enrolling in our module, please register via Stud.ip. The Stud.ip registration will be accessible soon and you will not need a password to enrol. We will contact you in due course via Stud.ip and communicate details on the course organization as well as the access to lecture and exercise materials. We look forward to welcoming you in class.

Lecture

Prof. Dr.-Ing. Markus Böl

Time: Tuesday, 09:45 - 11:15
Room: Langer Kamp 8, 3rd floor, room 313

Exercise

Prof. Dr.-Ing. Markus Böl

Time: Tuesday, 11:30 - 12:15
Room: Langer Kamp 8, 3rd floor, room 313

General information
Attendees are able to describe the deformation state as well as the strain state of a continuum body. They know conventional stress tensors and are familiar with basic accounting equations and material models.

Recommended literature

Albrecht Bertram
Elasticity and Plasticity of Large Deformations
ISBN 3-540-24033-0 Springer-Verlag 2005

Peter Chadwick
Continuum Mechanics: Concise Theory and Problems
Dover Publications 1999

Ralf Greve
Kontinuumsmechanik
ISBN 3-540-00760-1 Springer-Verlag 2003

Peter Haupt
Continuum Mechanics and Theory of Materials
ISBN 3-540-66114-X Springer-Verlag 2000

Gerhard A. Holzapfel
Nonlinear Solid Mechanics. A Continuum Approach for Engineering
John Wiley & Sons Ltd. 2000

General Information

If you are considering realising your project thesis in the field of mechanics and you are motivated for the modelling and characterisation of challenging materials, write us an email to m.boel(at)tu-bs.de.

Our work focus mainly on the characterisation of polymers and biomaterials such as skeletal muscles, smooth muscles or cells. For a proper material characterisation, we use from classic experimental approaches to more specific experiments in case of complex material properties. The use of numerical models and finite element simulations expands the possibilities of material characterisation by means of inverse methods and more realistic boundary conditions. An overview of our current lines of research is available in the section Research of our webpage. 

Wichtig:
Liebe Studierende, wenn Sie daran interessiert sind, an unserem Modul teilzunehmen, können Sie sich gern direkt über Stud.ip-Link ohne Passwortbeschränkung anmelden, sobald das Modul auf Stud.ip eingestellt wurde. Kurz vor Semesterbeginn werden wir Sie über Stud.ip mit weiteren Details über den Ablauf der Lehrveranstaltung und den Zugang zu Vorlesungs- und Übungsunterlagen kontaktieren. Wir freuen uns auf Ihr Interesse und Ihre Teilnahme.

Important:
Dear prospective students, if you are interested in enrolling in our module, please register via Stud.ip. The Stud.ip registration will be accessible soon and you will not need a password to enrol. We will contact you in due course via Stud.ip and communicate details on the course organization as well as the access to lecture and exercise materials. We look forward to welcoming you in class.

Lecture

Prof. Dr.-Ing. Markus Böl

Time: Tuesday and Friday, 08:00 - 09:30
Room: Audimax

Exercise

M.Sc. Mayra Hoppstaedter, M.Sc. Steven Kutschke

Time: Tuesday, 13:15 - 14:45
Room: Audimax

General information

Upon completion of this class, students will be familiar with basic concepts and methods of statics and mechanics of materials. The course will put the students in a position to calculate and model elastostatic components and systems.

Content

• Basic concepts of mechanics
• Free body diagrams
• Properties of bodies and systems
• Ropes and bars
• Statically determinate trusses
• Influence lines, stresses
• Mohr’s circle, strains
• Hooke’s law
• Temperature expansion
• Moment of area
• Bending and torsion of beams
• Distribution of shear stress in profiles
• Statically indeterminate systems

Documentation

Further information/lecture notes will be available on StudIp at the beginning of the lectures.
The passwords for StudIp will be announced in the first lecture.

Recommended literature

Gross, Hauger, Schnell, Schröder
Technische Mechanik, Band 1: Statik
ISBN 3642138055 Springer-Verlag, 11. Auflage

Gross, Hauger, Schnell
Technische Mechanik, Band 2: Elastostatik
ISBN 3642199836 Springer-Verlag, 11. Auflage

Gross, Ehlers, Wriggers
Formeln und Aufgaben zur Technischen Mechanik 1: Statik
ISBN 3642130275 Springer-Verlag, 10. Auflage

Gross, Ehlers, Wriggers
Formeln und Aufgaben zur Technischen Mechanik 2: Elastostatik, Hydrostatik
ISBN 3642203744 Springer-Verlag, 10. Auflage

Ostermeyer
Mechanik 1: Grundlagen, Statik starrer Körper, Statik elastischer Körper
ISBN 3-936148-01-5
Braunschweiger Schriften zum Maschinenbau
Hrsg.: Fakultät Maschinenbau der TU Braunschweig

Ostermeyer
Mechanik I,II,II: Übungsbuch
ISBN 3-936148-53-8
Braunschweiger Schriften zum Maschinenbau
Hrsg.: Fakultät Maschinenbau der TU Braunschweig

Wichtig:
Wenn Sie an der Teilnahme dieses Kurses im Sommersemester 2020 interessiert sind, schreiben Sie bitte eine kurze Email an ifm(at)tu-braunschweig.de  mit dem Kurstitel im Betreff. Wir kontaktieren Sie daraufhin zeitnah mit Details zum Ablauf der Lehrveranstaltung und der stud.ip Anmeldung.

Important:
If you are interested in enrolling in this course, please email us at ifm(at)tu-braunschweig.de indicating the course title in the subject line. Subsequently, we will contact you with details on the course organization and stud.ip access.

Lecture

Prof. Dr.-Ing. Markus Böl

Time: Tuesday, 10:30 – 12:00
Room: LK 6.1

Exercise

Prof. Dr.-Ing. Markus Böl

Time: Tuesday, 12:15 – 13:00
Room: LK 6.1

Laboratory (optional)

M.Sc. Steven Kutschke

Time: The appointments for the experiments will be discussed in the first meeting.
Room: Lab LK -123, Langer Kamp 8

General information
From a biological background students learn how to formulate mathematically biomechanical and biochemical processes of living materials. The understanding of biological processes is of special importance for the development and evaluation of numerical models. The use of the finite element methods for solving problems with realistic geometries will be seen in this course as example for the integration of biology in the computational mechanics field.

Contents of this course are

1. Introduction to the field of soft tissues
2. Active / passive tissue
3. Morphology / physiology
4. Soft tissue: modelling and simulation
5. Interactions between soft and hard tissues

Documentation
Further information/lecture notes will be available on StudIp at the beginning of the lectures.

Recommended literature

Y. C. Fung
Biomechanics. Mechanical properties of living tissues
Spinger Verlag, 1993

Y. C. Fung
Biomechanics. Motion, flow, stress and growth
Spinger Verlag, 1993

G. A. Holzapfel
Nonlinear solid mechanics
John Wiley & Sons, 2000

G. A. Holzapfel, R. W. Ogden
Mechanics of Biological Tissue
Springer, 2010

R. W. Ogden
Nonlinear elastic deformation
Dover, 1999

Wichtig:
Wenn Sie an der Teilnahme dieses Kurses im Sommersemester 2020 interessiert sind, schreiben Sie bitte eine kurze Email an ifm(at)tu-braunschweig.de  mit dem Kurstitel im Betreff. Wir kontaktieren Sie daraufhin zeitnah mit Details zum Ablauf der Lehrveranstaltung und der stud.ip Anmeldung.

Important:
If you are interested in enrolling in this course, please email us at ifm(at)tu-braunschweig.de indicating the course title in the subject line. Subsequently, we will contact you with details on the course organization and stud.ip access.

Lecture

Prof. Dr.-Ing. Markus Böl

Time: Tuesday, 08:00 – 09:30
Room: LK 6.1

Exercise

Prof. Dr.-Ing. Markus Böl

Time: Tuesday, 09:45 - 10:30
Room: LK 6.1

General information
After completing this course attendees are familiar with the basic and advanced simulation techniques in biomechanics. Continuum models for the simulation of the nonlinear material behaviour of bones and muscles are introduced. The basics on computational mechanics are reviewed and used in order to implement the models into a finite element framework. Further, fluid dynamics are revised and applied in the field of biomechanics for the computation of the transportation of blood in the circulatory system. Simulations and experiments for the characterisation of the passive material behaviour of skeletal muscles will be realised.

Contents

• Continuum models of bone and soft tissues.
• Numerical implementation and simulation of the models.
• Fluids in biomechanics and their modeling.
• Experimental methods and applications in biomechanics.

Documentation
Further information/ lecture notes will be available on StudIp at the beginning of the lectures.

Recommended literature

Y. C. Fung
Biomechanics. Mechanical properties of living tissues
Spinger Verlag, 1993

Y. C. Fung
Biomechanics. Motion, flow, stress and growth
Spinger Verlag, 1993

G. A. Holzapfel
Nonlinear solid mechanics
John Wiley & Sons, 2000

G. A. Holzapfel, R. W. Ogden
Mechanics of Biological Tissue
Springer, 2010

R. W. Ogden
Nonlinear elastic deformation
Dover, 1999

Wichtig:
Wenn Sie an der Teilnahme dieses Kurses im Sommersemester 2020 interessiert sind, schreiben Sie bitte eine kurze Email an ifm(at)tu-braunschweig.de  mit dem Kurstitel im Betreff. Wir kontaktieren Sie daraufhin zeitnah mit Details zum Ablauf der Lehrveranstaltung und der stud.ip Anmeldung.

Important:
If you are interested in enrolling in this course, please email us at ifm(at)tu-braunschweig.de indicating the course title in the subject line. Subsequently, we will contact you with details on the course organization and stud.ip access.

Lecture

Dr. phil. Kay Leichsenring, M.Sc. Robin Trostorf

Time: Tuesday, 09:00 – 12:00
Room: LK 8 UG -123

Laboratory exercise

Dr. phil. Kay Leichsenring, M.Sc. Steven Kutschke, M.Sc. Robin Trostorf

Time: The appointments for the experiments will be given in the first meeting.
Room: LK 8 UG -123

General information
An essential requirement for the understanding of load bearing mechanisms in materials as well as for the development of new innovative material models are experimental analyses of these materials. These analyses in turn, require a basic mechanical understanding. In this course, the students will learn about the most important measuring methods for force, voltage and deformation measurement on different scales as well as methods (partly numerical) for the material parameter identification/evaluation. The focus of this course is the independent realisation of experiments by the students. In the lecture (1 SWS) the theoretical fundamentals of measurement methods as well as parameter identification methods are briefly taught before the students carry out extensive experimental examinations within the framework of laboratory exercises (2 SWS).

Contents

• Different types of measurement methods
• Optical measurement methods
• Different material testing methods
• Scale- and field-dependent measurement methods, multiscale/multifield measurement methods
• Methods of parameter identification
• Basics of statistics
• Application of material parameters in material models

Documentation
Further information/lecture notes will be available on StudIp at the beginning of the lectures

Recommended literature

Sciammarella, Sciammarella
Experimental Mechanics of Solids
John Wiley & Sons Ltd. 2012

Proulx
Experimental and Applied Mechanics
Publisher: Springer 2011

Molimard
Experimental Mechanics of Solids and Structures
John Wiley & Sons Ltd. 2016S

Wichtig:
Wenn Sie an der Teilnahme dieses Kurses im Sommersemester 2020 interessiert sind, schreiben Sie bitte eine kurze Email an ifm(at)tu-braunschweig.de  mit dem Kurstitel im Betreff. Wir kontaktieren Sie daraufhin zeitnah mit Details zum Ablauf der Lehrveranstaltung und der stud.ip Anmeldung.

Important:
If you are interested in enrolling in this course, please email us at ifm(at)tu-braunschweig.de indicating the course title in the subject line. Subsequently, we will contact you with details on the course organization and stud.ip access.

Lecture

Prof. Dr.-Ing. Markus Böl, Dr.-Ing. Robert Seydewitz

Time: Friday, 09:45 - 11:15
Room: LK 6.1

Exercise

Prof. Dr.-Ing. Markus Böl, Dr.-Ing. Robert Seydewitz

The appointment for the exercise will be given in the first lecture.
Time: Friday, 11:30 - 12:15
Room: LK 6.1

General information
After completing this module, students have acquired the knowledge of basic calculus of vectors, matrixes and tensors, which are typically used in continuum mechanics and numerical methods.

Contents

• Vector analysis
• Spectral decomposition
• Eigenvalue problems
• Polar decomposition
• Tensor analysis
• Higher-order tensors

Documentation
Further information/ lecture notes will be available on StudIp at the beginning of the lectures.

Recommended literature

Reint de Boer & Jörg Schröder
Tensor Calculus for Engineers: Analytical and Computational Aspects
Springer, 2002

Mikhail Itskov
Tensor Algebra and Tensor Analysis for Engineers
Springer, 2007

Wichtig
Wenn Sie an der Teilnahme dieses Kurses im Sommersemester 2020 interessiert sind, schreiben Sie bitte eine kurze Email an ifm(at)tu-braunschweig.de  mit dem Kurstitel im Betreff. Wir kontaktieren Sie daraufhin zeitnah mit Details zum Ablauf der Lehrveranstaltung und der stud.ip Anmeldung.

Important:
If you are interested in enrolling in this course, please email us at ifm(at)tu-braunschweig.de indicating the course title in the subject line. Subsequently, we will contact you with details on the course organization and stud.ip access.

Lecture

Dr. Fabian Sewerin

Time: Tuesday, 15:00 - 16:30 Room:PK 4.4

Exam information
This term's exam will take place in room ZI 24.3 on 27/08/2020 from 9-11am. You may bring a non-programmable calculator as well as up to 4 sheets (= 8 pages) of handwritten or printed notes.

Exercise

M.Sc. Asha Sreekala Viswanathan

Time: Tuesday, 16:45 - 17:30
Room: PK 4.4

Laboratory (optional)

Jintian Liu

Time: We will schedule the laboratory appointments on 26 Apr 2019, 16:30 - 16:45.
Room: Lab LK -123, Langer Kamp 8

General information
In this lecture, an introduction to the kinematics of deformable solid bodies is given. The balance equations of thermodynamics are derived for describing different material behaviours. Deformable bodies will be presented as a continuum composed of body particles, which describe the material characteristics after homogenisation. Concepts such as material configuration, deformation gradient and stress tensors are introduced. In comparison with classic linear elastic theory, these concepts open new possibilities in the characterisation of the mechanical behaviour in deformable bodies.
Basic knowledge of matrix and tensor calculus and mechanics is recommended but not mandatory.

Contents

Continuum Mechanics

• Motivation – challenging problems in continuum mechanics
• Continuum theory and basic kinematics
• Deformation, strains, and stresses
• Balance relations

Material Theory

• General aspects of material theory
• Elastic and hyperelastic materials

Documentation
Further information/lecture notes will be available on StudIp at the beginning of the lectures.

Recommended literature

Elasticity and Plasticity of Large Deformations
Albrecht Bertram
Springer-Verlag, 2005

Continuum Mechanics: Concise Theory and Problems
Peter Chadwick
Dover Publications, 1999

Kontinuumsmechanik
Ralf Greve
Springer-Verlag, 2003

Continuum Mechanics and Theory of Materials
Peter Haupt
Springer-Verlag, 2000

Nonlinear Solid Mechanics. A Continuum Approach for Engineering
Gerhard A. Holzapfel
John Wiley & Sons Ltd., 2000

Wichtig:
Wenn Sie an der Teilnahme dieses Kurses im Sommersemester 2020 interessiert sind, schreiben Sie bitte eine kurze Email an ifm(at)tu-braunschweig.de  mit dem Kurstitel im Betreff. Wir kontaktieren Sie daraufhin zeitnah mit Details zum Ablauf der Lehrveranstaltung und der stud.ip Anmeldung.

Important:
If you are interested in enrolling in this course, please email us at ifm(at)tu-braunschweig.de indicating the course title in the subject line. Subsequently, we will contact you with details on the course organization and stud.ip access.

Lecture

Dr. Fabian Sewerin

Time: Monday, 08:45 - 10:15
Room: LK 6.1

Exam information
This term's exam will take place in room SN 19.1 on 01/09/2020 from 4-6pm. You may bring a non-programmable calculator as well as up to 5 sheets (= 10 pages) of handwritten or printed notes.

Exercise

M.Sc. Lisa Klemm

Time: Monday, 10:30 - 11:15
Room: LK 6.1

General information
In this course, students learn typical numerical techniques in the field of the nonlinear finite element methods. From the impulse balance equation used in classic mechanics, we discuss the need of the consideration of large deformations in deformable bodies and the aspects to take into account for the computation of nonlinear problems. The discretisation of the weak form leads to the consideration of three components in the stiffness matrix related to the nonlinearities of the numerical problem: Dynamic, material and geometrical parts. The derivation of the equations for different material behaviours and element types are aim of this lecture. To finish, adequate numerical methods will be used for the solution of the nonlinear equations.
Basic knowledge of matrix and tensor calculus and mechanics is recommended, but not mandatory.

Contents

• General nonlinear phenomena
• Basics of continuum mechanics for nonlinear FEM (overview)
• Discretisation of the basic equations
• Solution methods for nonlinear problems
• Solution algorithms for linear equation systems
• Overview of specific finite elements

Documentation
Further information/ lecture notes will be available on StudIp at the beginning of the lectures.

Recommended literature

Peter Wriggers
Nichtlineare Finite-Element-Methoden
Springer, 2001

Wilhelm Rust
Nichtlineare Finite-Elemente-Berechnungen: Kontakt, Geometrie, Material
Vieweg+Teubner, 2011

Wichtig:
Wenn Sie an der Teilnahme dieses Kurses im Sommersemester 2020 interessiert sind, schreiben Sie bitte eine kurze Email an ifm(at)tu-braunschweig.de  mit dem Kurstitel im Betreff. Wir kontaktieren Sie daraufhin zeitnah mit Details zum Ablauf der Lehrveranstaltung und der stud.ip Anmeldung.

Important:
If you are interested in enrolling in this course, please email us at ifm(at)tu-braunschweig.de indicating the course title in the subject line. Subsequently, we will contact you with details on the course organization and stud.ip access.

Lecture

Dr. Fabian Sewerin

Time: Wednesday, 15:00 - 16:30
Room: Langer Kamp 8.1

Exam information
This term's exam will take place in rooms LK 6 / 007 and LK 6 / Adaptroniklabor on 19/08/2020 from 09:30-11:15am.
If you have registered to take this exam, we will contact you in due course with further details on the coordination of the examination slots.

Exercise

Dr. Fabian Sewerin, M.Sc. Robin Trostorf

Time: Wednesday, 16:45 - 17:30
Room: Langer Kamp 8.1

General Information
This class is centered around the relationship between stochastic differential equations (SDEs), in particular those driven by Brownian motion, and partial differential equations (PDEs). After a brief review of elementary results from probability theory, we examine the practical relevance and nature of SDEs, placing emphasis on the interpretation of the stochastic integral, the notion of solutions and numerical time integration schemes. Following a rationale akin to homogenization, an evolution equation for the transition probability density function of an SDE is obtained. This provides the basis for Monte Carlo-type solution schemes of convection-diffusion-reaction PDEs which frequently appear in the theory of continuum mechanics.
We discuss examples from the engineering sciences (particulate matter, turbulence, combustion) and from financial applications (Black-Scholes model).

Contents

• Elements of probability theory
• Introduction to continuous time stochastic processes
• Stochastic differential equations (SDEs)
• Numerical solution schemes for SDEs
• Applications: Population balance modelling, Turbulent Combustion, Option Pricing

Recommended Reading

Numerical Solution of Stochastic Differential Equations
P. E. Kloeden und E. Platen
Applications of Mathematics: Stochastic Modelling and Applied Probability, Springer Berlin, 1999

Stochastic Processes and Applications
G. A. Pavliotis
Springer New York, 2014

Stochastic Processes and Models
D. Stirzaker
Oxford University Press, 2005

Wichtig:
Wenn Sie an der Teilnahme dieses Kurses im Sommersemester 2020 interessiert sind, schreiben Sie bitte eine kurze Email an ifm(at)tu-braunschweig.de  mit dem Kurstitel im Betreff. Wir kontaktieren Sie daraufhin zeitnah mit Details zum Ablauf der Lehrveranstaltung und der stud.ip Anmeldung.

Important:
If you are interested in enrolling in this course, please email us at ifm(at)tu-braunschweig.de indicating the course title in the subject line. Subsequently, we will contact you with details on the course organization and stud.ip access.

Lecture

Prof. Dr.-Ing. Markus Böl

Time: Monday, 13:15 - 14:45
Room: Zentralcampus

Time: Friday, 11:30 - 13:00
Room: Zentralcampus

Exercise

M.Sc. Mayra Hoppstaedter

Time: Monday, 15:00 - 16:30
Room: Zentralcampus

General information
Upon completion of this class, students will be familiar with basic concepts and methods of statics and mechanics of materials. The course will put the students in a position to calculate and model elastostatic components and systems.

Content

• Basic concepts of mechanics
• Free body diagrams
• Properties of bodies and systems
• Ropes and bars
• Statically determinate trusses
• Influence lines, stresses
• Mohr’s circle, strains
• Hooke’s law
• Temperature expansion
• Moment of area
• Bending and torsion of beams
• Distribution of shear stress in profiles
• Statically indeterminate systems

Documentation
Further information/lecture notes will be available on StudIp at the beginning of the lectures.
The passwords for StudIp will be announced in the first lecture.

Recommended literature

Gross, Hauger, Schnell, Schröder
Technische Mechanik, Band 1: Statik
ISBN 3642138055 Springer-Verlag, 11. Auflage

Gross, Hauger, Schnell
Technische Mechanik, Band 2: Elastostatik
ISBN 3642199836 Springer-Verlag, 11. Auflage

Gross, Ehlers, Wriggers
Formeln und Aufgaben zur Technischen Mechanik 1: Statik
ISBN 3642130275 Springer-Verlag, 10. Auflage

Gross, Ehlers, Wriggers
Formeln und Aufgaben zur Technischen Mechanik 2: Elastostatik, Hydrostatik
ISBN 3642203744 Springer-Verlag, 10. Auflage

Ostermeyer
Mechanik 1: Grundlagen, Statik starrer Körper, Statik elastischer Körper
ISBN 3-936148-01-5
Braunschweiger Schriften zum Maschinenbau
Hrsg.: Fakultät Maschinenbau der TU Braunschweig

Ostermeyer
Mechanik I,II,II: Übungsbuch
ISBN 3-936148-53-8
Braunschweiger Schriften zum Maschinenbau
Hrsg.: Fakultät Maschinenbau der TU Braunschweig