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 - 754online 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
- Introduction:. Physical Motivation. Rate Independent Plasticity. Rate Dependence. Creep. Rheological Models.
- 1-D Mathematical Model: Yield Criterion. Flow Rule. Loading / Unloading Conditions. Isotropic and Kinematic Hardening Models.
- 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.
- Classical Model of Elasto-Plasticity: Physical Motivation. Classical Mathematical Model of Rate-Independent. Elasto-Plasticity: Yield Criterion. Flow Rule. Loading / Unloading Conditions.
- 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.
- Integration Algorithms for Generalised Elasto-Plasticity: Stress Integration Algorithm.
- 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