In the spring term 2005 I will lecture the course

 

Mat-5.156 Theory of Elasticity (4 cu) L

 

Mat-5.156 Elastisuusteoria (4 ov) L

 

The course deals with the mechanics of elastic solids based on the calculus on variations. The goal is to provide the foundations for understanding the partial differential equations arising from elasticity theory and also 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, Wednesdays 14-16 and Fridays 14-16 room U345.

 

Examination will be held on Wednesday, 4th May, 9-12 in hall C. Note that this differs from the official date. Notify the course assistant as soon as possible if this causes some problem.

 

 

Lecture notes

 

• week 5
• week 6
• week 7
• weeks 8-11, 1/3 (in Finnish)
• weeks 8-11, 2/3 (in Finnish)
• weeks 8-11, 3/3 (in Finnish)
• pages 130 - 140 (in Finnish)
• weeks 12-13 (in Finnish)
• week 14 (in Finnish)

 

Exercises. Assistant Tomi Tuominen, Tuesdays 14-16 room 345.

 

• exercise1.ps
• exercise2.ps
• exercise3.ps
• exercise4.ps
• exercise5.ps
• exercise6.ps
• exercise7.ps
• exercise8.ps  
• exercise9.ps   NOTE: This excercise will be held on friday April 22.

 

Exercise points can be found here.

 

Literature.  Lecture notes based on material from:

I. Hlavacek, J. Necas. Mathematical Theory of Elastic and Elasto-plastic bodies: An Introduction.

C.L. Dym, I.H. Shames. Solid Mechanics. A Variational Approach.

 

 

WELCOME

 

Rolf Stenberg

Office: Room Y317.

 

 

The Gateway Arch in St. Louis (Eero Saarinen). The form of the arch is the chain line or the hyperbolic cosine.