MT4271: Elasticity

This course gives an introduction to the mathematical theory of linear elasticity. Elasticity is concerned with the deformation of solid bodies in response to applied forces. The course will show how such problems can be formulated in mathematical terms and how the governing equations can be solved. For an overview of the course see the official syllabus.

Many members of staff in the department have research interests in elasticity and this course will lay the foundations for possible future postgraduate work in this discipline. Obvious applications exist in engineering problems.

This course is currently taught by Dr. Matthias Heil. This page provides online access to the lecture notes, example sheets and other handouts and announcements.

Please note that the lecture notes only summarize the main results and will generally be handed out after the material has been covered in the lecture.

If you have any questions about the lecture, please see me in my office (18.07), contact me by email ( M.Heil@maths.man.ac.uk) or catch me after the lecture.

Exam:

Handouts:

• Official syllabus (ps).
• Handout for introduction / chapter 1 (ps) .
• Example sheet 1 (Oct. 1, 1998)(ps) .
• Solutions for example sheet 1 (Oct. 1, 1998)(ps) .
• Additional illustration for problem 3 on example sheet 1 (Oct. 1, 1998)(ps) .
• Example sheet 2 (Oct. 8, 1998)(ps) .
• Handout for chapter 2 (ps) .
• Example sheet 3 (Oct. 15, 1998)(ps) .
• Handout for chapter 3 (ps) .
• Handout for chapter 4 (ps) .
• Example sheet 4 (Oct. 22, 1998)(ps) .
• Handout for chapter 5 (ps) .
• Infinite cylindrical pipe under internal pressure: Hoop stress versus radius for various ratios a/b (ps) .
• Circular cylinder loaded by its own weight and supported by a constant pressure from below: Plot of the deformation. (ps) .
• Example sheet 5 (Oct. 29, 1998)(ps) .
• Example sheet 6 (Nov. 19, 1998)(ps) .
• Handout for chapter 6 (ps) .
• Stress distribution in a plate with a circular hole. (ps) .
• Illustration of the stress distribution in a plate with a circular hole. (ps) .
• Example sheet 7 (Dec. 10, 1998)(ps) .
• Example sheet 8 (Dec. 17, 1998)(ps) .
• The complete set of handouts (two pages on one physical page; ps) .
• The complete set of handouts.