Course content

Classification of nonlinearities (geometrical, material and boundary conditions). Strain- and stress measures for large displacements/deformations. Mathematical models for elastic and elastoplastic materials. Geometrical stiffness and linearized buckling. Formulation of the nonlinear finite element method. Numerical integration of dynamically excitated systems. Implicit/explicit time integration. Incremental-iterativ solution methods for nonlinear static and dynamic problems. Modelling of nonlinear boundary conditions. Impact- and contact problems.

Learning outcome

The aim of the course is to provide an introduction to the theoretical foundation of nonlinear finite element analysis, together with establishing skills and knowledge towards the use of the method.

Learning methods and activities

Lectures and homework assignments (including analytical and computer problems). The lectures and exercises are in English when students who do not speak Norwegian take the course. If there is a re-sit examination, the examination form may be changed from written to oral. In case of continuation exams, these will be arranged before the end of the same exam period.

Compulsory assignments

• Analytical and computer exercises

Recommended previous knowledge

Knowledge equivalent to TKT4145 Finite Element Methods in Engineering Science, TKT4192 Finite Element Methods in Strenght Analysis and TKT4201 Structural Dynamics.

Course materials

R.D. Cook, D.S. Malkus, M.E. Plesha, R.J. Witt: Concepts and Application of Finite Element Analysis, 4th ed., Wiley, 2002. Lecture notes.

Credit reductions