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Mathematische Modellbildung in der Mechanik (Wintersemester 2007/08)

  • Dozent*in: Prof. Dr. Christian Wieners
  • Veranstaltungen: Vorlesung (1090)
  • Semesterwochenstunden: 2
  • Hörerkreis: Mathematik, Ingenieurwesen, Physik (ab 7. Semester)

Contents:

In this lecture we review the mathematical properties
and numerical approximations of nonlinear models in
solid mechanics.

First, we review basic concepts in convex analysis and we study
the analysis and the numerical approximation of variational
inequalities. Then, this will be applied to obstacle problems,
contact problems, friction problems, and finally to infinitesimal
plasticity.

In the second part of the lecture we will discuss modern solution
algorithms with generalized Newton methods for non-smooth
problems. Finally, we consider the extensions of the models and of
appropriate algorithms to finite elasticity and finite plasticity.

Textbooks:

R. Temam
Mathematical Problems in Plasticity
(Bordas 1985)

W. Han, B. D. Reddy
Plasticity: Mathematical Theory and Numerical Analysis
Springer 1999

J. C. Simo and T. J. R. Hughes
Computational Inelasticity
Springer 1998

Termine
Vorlesung: Donnerstag 9:45-11:15 Seminarraum 13 Beginn: 25.10.2007
Lehrende
Dozent Prof. Dr. Christian Wieners
Sprechstunde: Mittwoch 09:30 - 10:30 Uhr
Zimmer 3.041 Kollegiengebäude Mathematik (20.30)
Email: christian.wieners@kit.edu