Material Modeling

The modeling of the deformation behavior of microstructured materials is a very complex task, which is commonly only possible using numerical methods. The local load cases of the material as well as the macroscopic properties of the composite material are of interest. Ferroelectric and ferromagnetic materials as well as those with martensitic phase transformations are counted among the material classes which are examined with phase field methods. Additionally, there are (nano-)porous materials, for which surface effects and tensions have to be considered. The deformation and damaging behavior of short fiber reinforced plastics is still a big challenge. Here, the rate dependent behavior of the matrix material has to be taken into account, especially for longterm and cyclic load. The modeling of damaging phenomena also turns out to be very complex. In the area of solid-fluid-interaction, the wetting of structured materials is examined.

Further information

  • Schrade, D., Müller, R., Xu, B. X., and Gross, D. (2007). Domain evolution in ferroelectric materials: A continuum phase field model and finite element implementation.Computer methods in applied mechanics and engineering, 196 (41-44), 4365-4374,
  • Graf, M, Kuntz, M., Autenrieth, H., Diewald, F., and Müller, R. (2021). Simulation of martensitic microstrucutures in a low-alloy steel. Archive of Applied Mechanics, 91 (4), 1641-1668,
  • Diewald, F., Heier, M., Horsch, M., Kuhn, C., Langenbach, K., Hasse, H., and Müller, R. (2018). Three-dimensional phase field modeling of inhomogenous gas-liquid systems using the PeTS equation of state. Journal of Chemical Physics, 149 (6), 064701,
  • Klomp, A. J., Stukowski, A., Müller, R., Albe, K., and Diewald, F. (2021). Influence of surface stress on the mechanical response of nanoporous metals studied by an atomistically informed continuum. Acta Materialia, 221, 117373,