Good knowledge of mechanics and finite element method
Upon completion of course, the PhD-candidate shall
Understand the basics of frame independent formulation with either Eulerian or Lagrangian approach
understand the difference between small and large deformations, and the related strain and stress tensors
know the concept of energy conjugate stress and strain tensors
be familiar with theory and its main constitutive equations, and Lagrangian or Eulerian formulation of such equations in nonlinear FEM
understand both the most often used explicit and implicit solution methods and theirs differences in FEM
understand modeling instabilities caused by material, structural and the numerical singularity
be familiar with sources of non-linearity, for example, the non-linearity in structural geometry, material property and boundary conditions
be able to use some advanced FE software to solve both theoretical and practical problems
The course is designed to give a PhD-candidate essential theoretical background to understand the challenges when modelling behaviours of solids / structures as involved in large non-linear deformation.
The course consists of two parts.
Part one covers basics of frame independent formulation
Part two covers solution techniques for FE methods
Completion of each part is followed by a compulsory exercise.
Weekly lectures and exercises.
Three compulsory exercises need to be approved in order to gain access to exam.
A written or oral exam at the end of course, depending on the number of the participants.