MT3271: Elasticity

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.

Handouts:

• Official syllabus.
• Example sheet 1 (pdf).
• Handout for introduction / chapter 1 (pdf)
• Example sheet 2 (pdf).
• Illustration of the idea behind the compatibility equations (pdf).
• Handout for chapter 2: Analysis of Strain. (pdf)
• Example sheet 3 (pdf).
• Example sheet 4 (pdf).
• Example sheet 5 (pdf).
• Handout for chapter 3: Analysis of Stress. (pdf)
• Handout for chapter 4: Elasticity & the constitutive equations. (pdf)
• Example sheet 6 (pdf).
• Handout for chapter 5: The equations of linear elasticity. (pdf)
• Infinite cylindrical pipe under internal pressure: Hoop stress versus radius for various ratios a/b (pdf) .
• Circular cylinder loaded by its own weight and supported by a constant pressure from below: Plot of the deformation. (pdf) .
• Example sheet 7 (pdf).
• Handout for chapter 6: Plane strain problems. (pdf)
• Stress distribution in an infinite plate with a circular hole (pdf) .
• Example sheet 8 (pdf).
• Example sheet 9 (pdf).
• Example sheet 10 (pdf).
• Non-dimensional vertial stress in elastic half-plane subject to period loading (pdf) .