The Theory of Porous Media will be introduced as a conceptual access point for the discussion of discrete multi-phase materials. The conceptual procedure for the development of thermo-dynamically consistent material equations will be also be discussed. The solution of the resulting equation system occurs numerically under the use of the Finite Element Method (FEM). On account of the mostly strong, coupled and non-linear character of the equation system which is to be solved, special element models will be introduced.
- Motivation and Overview
- Introduction to the Theory of Porous Media (TPM)
- Development of thermo-dynamically consistent material equations
- Treatment of Continuum Mechanics
- Example: liquid saturated porous solids
- Discussion of boundary conditions
- Preparation of the coupled equation system for numerical treatment
- Verification of the calculation concept with the help of numerical example calculations |