Contact

Ruhr University Bochum

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

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

Postal Address

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



Computational Plasticity (WiSe 2020/21)

Lecturer
Dr.-Ing. Ulrich Hoppe
Lecture ID, hours/week, CP
127506, 2V + 1Ü, 4 CP
Study Programmes
M. Sc. Computational Engineering. M. Sc. Maschinenbau (Techn. Wahlfach)
Frequency of occurrence
every winter term
Place/Time
Mon 13:00 - 15:15 Uhr, IC 03 - 754 online course, more information can be found on the E-Learning-Platform Moodle
For the first time at
26.10.2020
Examinations
Written exam, 90 minutes
Next exam date:
23.03.2021, 14.09.2021
E-Learning
Supplementary material, course notes, and more can be found on the E-Learning-Platform Moodle. You can enroll yourself for the course.

Content

  1. Introduction:. Physical Motivation. Rate Independent Plasticity. Rate Dependence. Creep. Rheological Models.
  2. 1-D Mathematical Model: Yield Criterion. Flow Rule. Loading / Unloading Conditions. Isotropic and Kinematic Hardening Models.
  3. Computational Aspects of 1-D Elasto-Plasticity: Integration Algorithms for 1-D Elasto-Plasticity. Operator Split. Return Mapping. Incremental Elasto-Plastic BVP. Consistent Tangent Modulus.
  4. Classical Model of Elasto-Plasticity: Physical Motivation. Classical Mathematical Model of Rate-Independent. Elasto-Plasticity: Yield Criterion. Flow Rule. Loading / Unloading Conditions.
  5. Computational Aspects of Elasto-Plasticity: Integration Algorithms for Elasto-Plasticity. Operator Split. The Trial Elastic State. Return Mapping. Incremental Elasto-Plastic BVP. Consistent Tangent Modulus.
  6. Integration Algorithms for Generalised Elasto-Plasticity: Stress Integration Algorithm.
  7. Computational Aspects of Large Strain Elasto-Plasticity: Multiplicative Elasto-Plastic Split. Yield Criterion. Flow Rule. Isotropic Hardening Operator Split. Return Mapping. Exponential Map. Incremental Elasto-Plastic BVP.

Literature

  • Lecture notes
  • J.Lemaitre and J.-L. Chaboche: Mechanics of Solid Materials , Cambridge University Press, Cambridge, 1990
  • J. Lubliner: Plasticity Theory , Macmillan, New York, 1990
  • M.A. Crisfield: Basic plasticity Chapter 5. in: Non-linear Finite Element Analysis of Solids and Structures. Volume1: Essentials , John Wiley, Chichester, 1991
  • J. C. Simo and T. J. R. Hughes, Computational Inelasticity, Springer, 1998.
  • F. Dunne, N. Petrinic, Introduction to Computational Plasticity, Oxford University Press, 2005