Seminars

Winter term 2018/19

Continuum Mechanics of Multiphasic Materials

Lecturer

Dr.-Ing. Arndt Wagner

Topics

This seminar basically aims to provide a fundamental introduction to continuum mechanics and material theory of multiphasic materials within the framework of the Theory of Porous Media (TPM). For this purpose, a sound theoretical part is given by means of a lecture which covers the topics of kinematics, stress concept, balance relations, constitutive settings and, conclusively, its application to a fluid-saturated, elastically deformable solid skeleton as a basic example. A concluding part shows the suited computational usage of the TPM for engineering applications. For the numerical investigation of the arising coupled problems of porous materials within a finite-element solution procedure, the capabilities of the research code PANDAS (Porous media Adaptive Nonlinear finite element solver based on Differential Algebraic Systems, cf. http://www.get-pandas.com, developed at the Chair of Continuum Mechanics of the Institute of Applied Mechanics (CE) at the University of Stuttgart) are of immense benefit for the implementation of such models.
Literatur:
de Boer, R.: Vektor- und Tensorrechnung für Ingenieure. Springer-Verlag, Berlin 1982.
Bowen, R. M.: Theory of Mixtures. In A. C. Eringen (Ed.): Continuum Physics, Vol. III, Academic Press, New York 1976.
Ehlers, W.: Poröse Medien - ein kontinuumsmechanisches Modell auf der Basis der Mischungstheorie. Forschungsberichte aus dem Fachbereich Bauwesen der Universität-GH-Essen, Heft 47, Essen, 1989.
Ehlers, W.: Foundations of multiphasic and porous materials. In W. Ehlers, J. Bluhm (Ed.): Porous Media: Theory, Experiments and Numerical Applications, Springer-Verlag, Berlin 2002, pp. 3-86.
Ehlers, W.: Challenges of porous media models in geo- and biomechanical en-gineering including electro-chemically active polymers and gels, International Journal of Advances in Engineering Sciences and Applied Mathematics 1 (2009), 1-24.
Truesdell, C.: Rational Thermodynamics. Springer-Verlag, New York 1984
Truesdell, C.; Toupin, R. A.: The Classical Field Theories. In S. Flügge (Ed.): Handbuch der Physik, Band III/1, Springer-Verlag, Berlin 1960.
 

Language

English or German

Time and Place

Block seminars, Tuesday 14:00 - 15:30

Starting on October 23  – further dates by agreement

Seminar room 3.141, Pfaffenwaldring 9

SWS

2

ECTS

3

Proof of attendance

Regular and active participation

Registration

per E-Mail: arndt.wagner@mechbau.uni-stuttgart.de

Homogenization as upscaling technique

Lecturer

Dr. Carina Bringedal

Topics

When a model contains (spatially) highly oscillatory behavior, a numerical simulation would need a very fine grid to resolve this behavior. If we, however, are only interested in the average behavior, analytical upscaling can be used to reformulate the model using scale separation. The reformulated model couples the large-scale behavior with the effect from the highly oscillatory small-scale behavior, and homogenization provides the bridge between these two scales. This seminar will cover the basic technique of homogenization, along with applications, numerical implementations and possible extensions.
 

Language

English

First Meeting

Presumably 2nd week in January, Wednesday (about 11:30)

Time and Place

Wednesday, 9 January 2019, 11:30 + January 23 and/or 24 and/or 25

Room 0.015, Pfaffenwaldring 5a

Proof of attendance

Tutorial talks by participants based on selected papers (30min)

Registration

Please contact Barbara Teutsch: barbara.teutsch@simtech.uni-stuttgart.de

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