Calculus of Variations and Variational Principles for Continuum based Analysis Software

The course consists of variational calculus and the variational principles that are the foundation for most continuum based simulation programs. This also includes tensor theory and the most common tensors used in linear and nonlinear solid mechanics. Topics are: Euler Equation. Natural and essential boundary conditions. General constraint conditions. Minimum potential energy. Hellinger-Riessner and Hu-Washizu principle. Generalized multifield principles. Tensor algebra. Co-variant and contra-variant vector systems. Stress and strain measures. Additional topics may be selected for the individual candidates. A passing grade is required on the project work before taking the exam.

Knowledge: This subject are aimed give comprehensive understanding of the theory behind simulation software.

Skills: Ability to comprehend theory from multiple sources, and be able to combine and expand on this for new applications.

General Competence: Be able to communicate and present obtained knowledge.

Guided private study and project work. To pass the course a score of at least 70 percent is required.