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 verabschiedet.

Ausnahmen:

Course MV-TM-86006-K-7

Non-linear Continuum Mechanics (2V, 3.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 3.0 CP 28 h 62 h
(2V) 3.0 CP 28 h 62 h

Basedata

SWS 2V
CP, Effort 3.0 CP = 90 h
Position of the semester 1 Sem. in SuSe
Level [7] Master (Advanced)
Language [DE] German
Lecturers
Müller, Ralf, Prof. Dr.-Ing. (PROF | DEPT: MV)
Sator, Christian, Dr.-Ing. (WMA | DEPT: MV)
Schlüter, Alexander, Dr.-Ing. (WMA | DEPT: MV)
Area of study [MV-LTM] Applied Mechanics
Additional informations
Livecycle-State [NORM] Active

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

Materials

Blackboard/overhead, projector, slides, auxiliary sheets

Registration

Requires registration!

Requirements for attendance (informal)

Applied Mechanics, Mathematics

Requirements for attendance (formal)

None

References to Course [MV-TM-86006-K-7]

Module Name Context
[MV-TM-M142-M-7] Non-linear Continuum Mechanics P: Obligatory 2V, 3.0 LP
[PHY-SP-4-M-7] Schwerpunktmodul Technische Mechanik WP: Obligation to choose 2V, 3.0 LP