Credits: 7.5. Responsible teacher: Matti Ristinmaa. Prerequisites: Applied Mathematics or Linear Analysis, and Solid Mechanics, Basic Course. Teaching: Lectures 32 h, problem sessions 28 h. Individual study: 140 h. Assessment:: Compulsory assignments which are graded. Study period: 2
To qualify for a final grade it is required that the project assignments are fulfilled . The report is graded on the scale 3, 4, 5.
Aims of the course
The course deals with modeling and analysis of nonlinear structures and solids. The main emphasis is on the modeling aspect, i.e. the justification and properties of the theory, and the development of the theory in a form suitable for computational analysis. The idea is to present the theory and the corresponding numerical methods as a gradual development, from simple bar and truss systems via finite rotations over beams and shells to nonlinear kinematics and material behavior of solids. Care is taken to explain why as well as how. Moreover, the course builds upon the Advanced Courses Finite Element Method FHL064.
- Introduction to nonlinearity, exact theory of truss structure and numerical implementation.
- Theory of large rotations, and large displacement and co-rotating beam theories.
- Finite deformation continuum mechanics and finite deformation elements.
- Quasi-static and dynamic numerical solution methods.
The theory is supported by a set of MATLAB functions, by which the student will familiarize her-/himself with the numerical implementation when providing his own illustrations of the theory.
The course program for 2018 can be downloaded as a pdf-file (note change of location of computer sessions during the different weeks) here.
- Steen Krenk - Non-Linear Modelling and Analysis. (Also available as Ebook at LU-campus)
- CALFEM - A finite element toolbox to MATLAB, Division of Structural Mechanics and Division of Solid Mechanics, Lund Institute of Technology