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Mathematical Modeling in Mechanics (Winter Semester 2007/08)


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

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.


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

Lecture: Thursday 9:45-11:15 Seminarraum 13 Begin: 25.10.2007
Lecturer Prof. Dr. Christian Wieners
Office hours: Wednesday 09:30 - 10:30 Uhr
Room 3.041 Kollegiengebäude Mathematik (20.30)
Email: christian.wieners@kit.edu