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Einführung in die Materialtheorie (MB-22)

Introduction to Theory of Materials (MB-22)

Announcements

We will start providing course material for “Introduction to the Theory of Materials” on April 6th in the Moodle online class.

Even if the semester start will be postponed due to the outbreak of the corona virus, we aim at providing course material, starting on April 6th. It will be done in the form of digital content and modern methods, e.g., digital lecture notes, screen casts, an online forum for discussion, etc.

Note that these announcements are made based upon the current situation, and that these arrangement may be subject to change based on new developments. At the moment, for instance, we do not know if and how examinations will take place. Please check this website and the Moodle class for updates.

The entire class will be organized and provided on Moodle by the name “Introduction to the Theory of Materials” in this semester “SoSe 2020”. Joining the Moodle class is obligatory. You will receive the password automatically by sending an e-mail to from your TU-Dortmund account (only ...@tu-dortmund.de, not ...@udo.edu) until April 24th, using the subject: Anmeldung Moodle Materialtheorie

Best regards and stay healthy,

Patrick Kurzeja

Contents

The course gives an introduction into fundamental concepts and algorithmic formulations of the continuum-mechanics-based modelling of solid engineering materials. The general thermodynamical framework including solid-mechanics-specific dissipative mechanisms is discussed in detail. Typical archetypes of such inelastic material behaviour are viscosity and plasticity, which can be combined to mimic complex non-linear and time-dependent response of various engineering materials. The course is restricted to deformations at small strains and covers the following topics:

  • Continuum Thermodynamics
  • Elasticity
  • Viscoelasticity
  • Plasticity
  • Advanced Plasticity

 
A main goal of the course is to implement the different constitutive models in a so-called constitutive driver by using MATLAB. To iterate, for instance, a uni-axial stress state, an iterative Newton algorithm is used to solve the system of non-linear equations. The underlying tangent operator possesses the same form as those required on the level of integration points within finite element simulations, so that the models and algorithms developed in this course can directly be embedded into finite element formulations.


Lectures

 

Semester Lecturer Date Location
SS 2020  Dr.-Ing Patrick Kurzeja

Wednesday, 10:15-11:45

Friday, 12:15-13:45

see the Moodle class online until further notice

MB-Building,
Room 165#

 


Tutorials

 

Semester Date Location
SS 2020

Wednesday, 10:15-11:45

Friday, 12:15-13:45

see the Moodle class online until further notice

MB-Building,
Room 163
(CIP-Pool)


References

 

J.C. Simo and T.J.R. Hughes. Computational Inelasticity. Springer, 1998. ebook/UB TU Dortmund
N.S. Ottosen and M. Ristinmaa. The Mechanics of Constitutive Modelling. Elsevier, 2005. ebook/UB TU Dortmund
J. Lemaitre and J.-L. Chaboche. Mechanics of Solid Materials. Cambridge University Press, 1990.
G.A. Maugin. The Thermomechanics of Plasticity and Fracture. Cambridge University Press, 1992.
P. Wriggers. Nonlinear Finite Element Methods. Springer, 2008.
P. Wriggers, W. Hauger and D. Gross Technische Mechanik 4. Springer, 2014. ebook/UB TU