## Mat-5.3741 Theory of Elasticity (5 cp) L

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## Mat-5.3741 Elastisuusteoria (5 op) L

**Note!**
This page is outdated. From autumn 2008, course information is in
Noppa. |

The course deals with the mechanics of elastic solids based on the
calculus on variations. The goal is to provide the foundations for understanding
of the partial differential equations arising from elasticity theory and to
support courses on numerical methods.

# Contents

The general theory of
elasticity (stress, strain, equilibrium)

An introduction to calculus
of variations

The variational
principles of elasticity

Thin structures (bending and
torsion of beams, plates)

Dynamics of beams and plates

Elastic stability
(buckling of beams and plates).

# Lectures.
Prof. Rolf Stenberg, Mondays 12-14 and Wednesdays 16-17

# room Y313. First
lecture on Monday 15.1.

#

# Excercises. Assistant
Mika Juntunen, Tuesdays
14-16 room Y313.

**Literature.** Lecture notes based on material from:

*Feng** Kang,
Shi Zhong-Ci.* Mathematical theory of
elastic structures

*I Hlavacek, J, Necas*. Mathematical theory of elastic and elasto-plastic
solids.

* *

**Passing.** Exam, bonus
points from exercises.

** Exam: Wednesday 25.4., 16-19, room Y313**

Feng Kang, Shi Zhong-Ci. Mathematical theory of elastic structures

- Chapter 1 in total. 1.2 can be replaced with the handout
- Chapter 2, except 2.6 (Geometrical compability)
- Chapter 3, except 3.2 (Plane geometrical compability) and 3.5 (Bending of spatial beams)

** Handouts: **

** Exercise points **

** Exercises: **

Rolf Stenberg

Office hour: Wednesdays 13-14, room Y317.

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