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Einführung in die Materialtheorie (20/6)

Introduction to Theory of Materials (20/6)

Announcements

The presentations on Thursday will start at 9:30 a.m, see also bottom of the page.


Contents

 

The course gives an introduction into fundamental concepts and algorithmic formulations of the continuum-mechanics-based modelling of 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 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 (MATLAB) the different constitutive models in a so-called constitutive driver. To iterate a, for instance 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 2018  Dr. Thorsten Bartel

Wednesday, 10:15-11:45

Friday, 12:00-13:30

MB-Building,
Room 165

 

Accompanying documents for the lectures

 

Documents

Contents

Chapter 0

Contents

Chapter 1

Introduction

Chapter 2

Continuum Thermodynamics

Chapter 3

Elasticity

Chapter 4

Viscoelasticity

Chapter 5

Plasticity - Basic Concepts

Chapter 6

Plasticity - Advanced Concepts

 


Tutorials

 

Semester Supervisor Date Location
SS 2018 Leon Sprave, M.Sc.

Wednesday, 10:15-11:45

Friday, 12:00-13:30

MB-Building,
Room 163
(CIP-Pool)

 

Accompanying documents for the tutorials

The documents accompanying the tutorials are to be used in preparation of each exercise. All participants are requested to become acquainted with the exercises dealing with the subject of the respective tutorial. This will ensure that all participants are on the same level of knowledge for each individual lesson.

Download: tensor calculus library  for all tutorials.

 

Tutorial No.

Date

Description

Files

0

27.04.18

Isotropic linear elasticity

tutorial
template

1

04.05.18

Transverse isotropy in the framework
of linear elasticity

tutorial
template

2

11.05.18

Orthotropy in the framework of
linear elasticity

tutorial
template

solution: indexnotation

3

16.05.18 +
23.05.18

Constitutive driver for one dimensional
stress states

tutorial
template

4

30.05.18

Constitutive driver for non-linear elasticity
and numerical consistent tangent

tutorial
template

5

06.06.18

Linear viscoelasticity

tutorial
template

6

04.07.18 06.07.18 11.07.18

Von Mises plasticity with isotropic and
kinematic hardening for small strains

tutorial
template
Beamer-Anschrieb

Examinations

Type of exam: programming homework (in small groups) with a presentation followed by a discussion.

Registration: until 06.08.2018 via e-mail to Leon Sprave, M.Sc. (from @tu-dortmund adress, include your immatriculation number and (optionally) up to two group partners. If no group partners are selected, they will be assigned)

Exam task: The tasks will be send via e-mail to all participants on 10.08.2018.

Exam date: 13.09.2018, 09:30-12:30 Uhr und 13:30-16:30 Uhr, R165, 15-20 minutes presentation, 5-10 minutes discussion


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