FSE3111 Continuum Mechanics 12.0 credits

The course will give a thorough treatment of continuum mechanics for solid materials. Particular emphasis will be given to materials and structures that experience large deformations. Application areas are for example rubber like materials, soft tissue biomaterials and large plastic deformations in metallic materials. The lectures will address theoretical issues, which will be illustrated by simple examples. More advanced problems will be solved in homework assignments.

After the course the students should

• be able to correctly apply advanced large deformation theories in modelling of structuresand components
• be able to read and understand advanced scientific publications on material models for large deformations
• be confident with tensor analysis both in Cartesian and curvilinear coordinatesystems
• be able to apply and evaluate the most common stress, strain and deformation measures
• be able to model rubber like materials, for example soft tissuebiomaterials
• be familiar with different approaches for large strain plasticity
• understand finite element implementations for largedeformations

A course in solid mechanics at the basic level is required. It is strongly recommended that the course participants also have some additional courses in solid mechanics such as material mechanics, theory of elasticity, theory of plasticity or continuum mechanics at the advanced level.

• Holzapfel, G., Nonlinear Solid Mechanics, A Continuum Approach for Engineering, John Wiley & Sons, Ltd, 2000. Paperback: ISBN: 9780471823193
• Brannon, R., Curvilinear Analysis in a Euclidean Space, the text can be downloaded for free from the website http:// imechanica.org/node/1551/

• HEM1 - Home assignments, 6.0 credits, grading scale: P, F
• TEN1 - Written exam, 6.0 credits, grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

If the course is discontinued, students may request to be examined during the following two academic years.

Five compulsory homework assignments and written examination.

Passed homework assignments and written examination. The grades are pass or fail.

Sören Östlund

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

For information on course offer, contact program responsible,
Per-Lennart Larsson, plla@kth.se