Contact

Ruhr University Bochum

Mechanics of Materials
Building IC Room 03-713
Universitaetsstrasse 150
44801 Bochum
Germany

Phone: +49 (02 34) 32 - 26025
Fax: +49 (02 34) 32 - 14154 Email: mechmat(at)rub.de

Postal Address

Ruhr University Bochum
Mechanics of Materials
Building IC Postbox 15
44780 Bochum
Germany



Continuum Mechanics (SoSe 2024)

Lecturers
Prof. Dr. Klaus Hackl
Course id, hours/week, CP
126502, 4 h/week, 6 CP
Frequency of occurrence
every summerterm
Study programmes
MSc-CE, MSc-MB
Time/place
Tue 08:00 - 10:00 h, IC 04-410
Thu 14:00 - 16:00 h, IC 03-112
For the first time
Tue, 09.04.2024
Examinations
Written exam, 120 minutes
Next exam date:
Please note the announcement of the examination office

Content

The course starts with an introduction to the advanced analytical techniques of linear elasticity theory, then moves on to the continuum-mechanical concepts of the nonlinear elasticity and ends with the discussion of material instabilities and microstructures. Numerous examples and applications will be given.

  • Advanced Linear Elasticity
    • Beltrami equation
    • Navier equation
    • stress-functions
    • scalar- and vector potentials
    • Galerkin-vector
    • Love-function
    • solution of Papkovich - Neuber
  • Nonlinear Deformation
    • Strain tensor
    • Polar descomposition
    • stress-tensors
    • equilibrium
    • strain-rates
  • Nonlinear Elastic Materials
    • Covariance and isotropy
    • Hyperelastic materials
    • constrained materials
    • Hypoelastic materials
    • objective rates
    • material stability
    • microstructures

References and reading assignments

Script (400 kB)

Non-Linear Elastic Deformations

Bild Buch

R.W. Ogden
Paperback - 544 pages (June 1997)
Dover Publications, Inc.;
ISBN: 0486696480


Mathematical foundations of elasticity

Bild Buch

J.E. Marsden, T.J.R. Hughes,
Dover,
ISBN 0-486-67865-2


Nonlinear solid mechanics

Bild Buch

G.A. Holzapfel
ISBN 0-471-82319-8


Elasticity

Bild Buch

Pei Chi Chou, Nicholas J. Pagano,
Paperback - 290 pages - Reprint (20 June 1997)
Dover Publications, Inc.;
ISBN: 0486669580


External Links:

p>From MathWorld--A Wolfram Web Resource:
http://mathworld.wolfram.com/LegendrePolynomial.html
http://mathworld.wolfram.com/SphericalHarmonic.html
http://mathworld.wolfram.com/BesselFunctionoftheFirstKind.html
http://mathworld.wolfram.com/BesselFunctionoftheSecondKind.html
http://mathworld.wolfram.com/HankelFunction.html