The aim of the project is the mechanism based homogenization of the mechanical behaviour of micro-heterogeneous materials with interfaces. Examples for such interfaces are phase boundaries or adhesive bonds within modern composite materials, cracks in ceramics or grain boundaries in polycristalline metals. The focus is on the consideration of particle- and fiber-reinforced composites. The methods can then be adapted to other material systems with ease. A reduced order model is developen in order to homogenize the constitutive behaviour. Therefore, reduced basis are introduced for various fields including the displacement jump across the interfaces which lead to low-dimensional representations of the respective function spaces. The microscopic constitutive behavior is modeled according to the concept of Generalized Standard Materials (GSM) in the bulk and in the Standard Dissipative-Cohesive Zone (SD-CZ) setting on the interfaces. The resulting homogenized material on the larger scale is again a GSM. The application of the reduced order model in large twoscale simulations will be enabled by high-performance implementations. The project operates in the domains of computational mechanics and materials research.
- reduced basis for various fields
- constitutive modeling via potentials (GSM; SD-CZ)
- computational homogenization
- efficient multiscale simulations
- parametric studies (e.g. size effects)
Dipl.-Math.techn. Matthias Leuschner
Dr.-Ing. Dipl.-Math.techn. Felix Fritzen