After successful completion of the course, students are able to perform the following tasks, which are necessary for an investigation of large deformations of elastic bodies:

Explicate and apply the relevant basics of tensor algebra and tensor analysis in general curvilinear coordinates;

Explicate and apply the basic relations of finite elasticity theory (geometric relations, equations of motion, material laws for hyperelastic material);

Discuss large deformations of basic elastic components (e.g., cylinders) by analytical means

For the investigation of large elastic deformations of solid bodies:

Mathematical introduction:

tensor algebra and tensor analysis in general curvilinear coordinates;

General theory:

geometrical relations, strain,

stress and equations of motion;

constitutive equations for hyperelastic behavior.

Analytical discussion of special problems

Oral presentation

Course hours will be fixed according to the needs of the participants. The course is given in german.

Written exam on the theoretical basics of finite elasticity theory; for special regualtions in the WS 2022 see the German version!

Basic knowledge in mechanics and mathematics.