Modul Math-Ma MKMECH

Lectures on Tue. 4.DS are shifted to THU. 3.DS!!!

Mathematics of Continuum Mechanics - Nonlinear Elasticity (Modul MatH-Ma MKMECH)

This course is an introduction to elasticity theory. It covers topics concerned with modeling, as well as analytical aspects that invoke ideas and methods from the theory of linear and nonlinear partial differential equations and the calculus of variations.

Elasticity theory is one of the backbones of continuum mechanics (CM). CM seeks for a systematic understanding of the motion of matter (solid or fluid) under the influence of forces and based on the (modeling) assumption that matter is continuously distributed in space. The branch of elasticity theory is concerned with solid materials - more precisely, solids that deform under the influence of forces and recover their original shape when the force is removed.

This course starts with a brief presentation of the basic elements of CM (material bodies, kinetics, forces, balance laws, constitutive relations). We then focus on (non)linear and variational models for elasticity and the connection between various models. For this, we explain and apply various PDE techniques (weak formulation, Sobolev spaces, Lax Milgram, implicit function theorem), methods from the calculus of variations (direct method, polyconvexity), and asymptotic analysis (e.g. Gamma-convergence).

Course information

Lecturer: Prof. Dr. Stefan Neukamm
Course assistant: Dr. Mathias Schäffner
Time and place of the lecture:
Thu. 11.10 - 12.40 pm (3rd double period): B216 (Übung), C129 (Vorlesung)
Fri. 01.00 - 02.30 pm (4th double period), WIL A124
(tutorial is integrated)
Modul: Modul Math Ma MKMECH
Literature (tba)
Language: English and/or German.
Prerequisites: Basic knowledge in PDE theory and in functional analysis.