Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MV

Notes on the module handbook of the department Mechanical and Process Engineering

Die hier dargestellten veröffentlichten Studiengang-, Modul- und Kursdaten des Fachbereichs Maschinenbau und Verfahrenstechnik ersetzen die Modulbeschreibungen im KIS und wuden mit Ausnahme folgender Studiengänge am 28.10.2020, bzw. am 13.01.2021 verabschiedet.

Ausnahmen:

Module MV-TM-M142-M-7

Non-linear Continuum Mechanics (M, 3.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MV-TM-M142-M-7 Non-linear Continuum Mechanics 3.0 CP (90 h)

Basedata

CP, Effort 3.0 CP = 90 h
Position of the semester 1 Sem. in SuSe
Level [7] Master (Advanced)
Language [DE] German
Module Manager
Lecturers
Area of study [MV-LTM] Applied Mechanics
Reference course of study [MV-88.808-SG] M.Sc. Computational Engineering
Livecycle-State [NORM] Active

Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
2V MV-TM-86006-K-7
Non-linear Continuum Mechanics
P 28 h 62 h - - PL1 3.0 SuSe
  • About [MV-TM-86006-K-7]: Title: "Non-linear Continuum Mechanics"; Presence-Time: 28 h; Self-Study: 62 h

Examination achievement PL1

  • Form of examination: oral examination (30-45 Min.)
  • Examination Frequency: each semester
  • Examination number: 10007 ("Non-linear Continuum Mechanics")

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

Kinematics
  • Deformation
  • Time-derivatives
  • Strain
  • Objectivity

Balance laws

  • Reynold‘s theorem
  • General form of a balance law
  • Balance of mass
  • Balance of linear momentum
  • Balance of angular momentum
  • Balance of energy and entropy
  • Second law of thermodynamics

Constitutive Laws

  • General form
  • Simplifications
  • Thermo-elastic and hyperelastic materials
  • Fluids

Competencies / intended learning achievements

  • Students are familiar with tensor calculus
  • Students are able to explain the kinematics of finite deformations
  • Students know fundamental kinematic quantities and can interpret them
  • Students understand the concept of objectivity
  • Students know the basic balance laws, their implications and the difference between their local and global forms
  • Students understand the need for and the character of material laws
  • Students are familiar with typical material laws and their implications

Literature

  • W. Becker, D. Gross; Mechanik elastischer Körper und Strukturen; Springer Berlin; ISBN: 3-540-43511-5
  • R. Kienzler, R. Schröder; Einführung in die Höhere Festigkeitslehre; Springer Berlin; ISBN: 3-540-89324-5
  • L. E. Malvern; Introduction to the Mechanics of a Continuous Medium; Prentice Hall; ISBN: 0-134-87603-0
  • R. W. Ogden; Non-Linear Elastic Deformations; Dover Pubn Inc; ISBN-10: 0-486-69648-0
  • P. Haupt; Continuum Mechanics and Theory of Materials; Springer Berlin; ISBN: 3-540-43111-X
  • R. Greve; Kontinuumsmechanik: Ein Grundkurs für Ingenieure und Physiker; Springer; ISBN: 3-540-00760-1
  • Y. C. Fung, P. Tong; Classical and Computational Solid Mechanics; World Scientific Publishing Company; ISBN-10: 9-810-24124-0
  • G. A. Holzapfel; Nonlinear Solid Mechanics: A Continuum Approach for Engineering; Wiley; ISBN-10: 0-471-82319-8
  • Altenbach, H. Altenbach; Einführung in die Kontinuumsmechanik; Teubner Studeinbücher Mechanik; ISBN: 3-519-03096-9
  • A.J.M. Spencer; Continuum Mechanics; Dover New York; ISBN 0-486-43594-6
  • M.E. Gurtin; An Introduction to Continuum Mechanics; Academic Press San Diego; ISBN: 0-12-309750-9
  • I-S. Liu; Continuum Mechanics; Springer Berlin; ISBN: 3-540-43019-9

Requirements for attendance of the module (informal)

Applied Mechanics, Mathematics

Requirements for attendance of the module (formal)

None

References to Module / Module Number [MV-TM-M142-M-7]

Module-Pool Name
[MV-ALLG-2022-MPOOL-6] Wahlpflichtmodule Master allgemein 2022
[MV-ALL-MPOOL-6] Wahlpflichtmodule allgemein
[MV-CE-2022-MPOOL-6] Wahlpflichtmodule M.Sc. Computational Engineering 2022
[MV-CE-MPOOL-6] Wahlpflichtmodule Computational Engineering