Analysis and modelling of
micro- and nanostructures

Fraunhofer Institute for Industrial Mathematics ITWM

The microstructure of modern materials significantly influences their macroscopic properties. We develop algorithms for characterisation and stochastic modelling of microstructures based on three dimensional image data. Our products are dedicated to a deeper understanding of the spatial geometry and the structure-property-relationships in materials and thus offer new possibilities like optimising materials properties by virtual materials design.

Additional to our software products of the MAVI family we offer the following services:

Quantitative geometric analysis of micro- or nanostructure using MAVI, resulting e. g. in:

  • volume fraction, porosity, specific surface area or connectivity of components
  • fibre length density, fibre orientation distribution
  • size and shape distribution of particles and cells
  • local porosity, local structure thickness

Acquisition of 3D Images:

  • micro computed tomography inhouse
  • with partners: phase contrast CT, confocal laser scanning microscopy, Electrontomography, FIB-tomography

Stochastic geometry models

Geometric modelling of micro- and nanostructures

  • Fitting of stochastic geometric models
  • Reconstruction of materials
  • Virtual material design and simulation of materials properties
Further information about the modelling of microstructure

Based on 3D and 2D images, macroscopic homogeneous materials, which are heterogeneous on a microscopic scale, are modelled.

Therefore a suitable model is chosen. By 3D image analysis, geometric features like porosity and surface density can be determined. The model parameters are computed from these features.

In simulated realizations of the model, other material features, e.g. permeability and acoustical absorption, can be calculated.

Using a model

  • is the only chance if 3D images are not available
  • enables calculations in a variety of realizations. Hence, it is possible to allow for the areal variety of the material
  • makes virtual experiments possible: testing the influences of minimal changes of the geometry without really creating the material

The basis are model from stochastic geometry like Boolean model, line processes and mosaics. The macroscopic homogeneity is accorded to using stationary models. This means that it is not important from which area of the material the probe was taken.

In addition we offer

  • Specimen preparation
  • Presentation of analysis results at your place
  • stl-dataset as input for your FEM-simulation
  • High-quality visualisation, movie
  • 3D-print of your structure
  • Fitting of a stochastic geometry model to your structure
  • Simulation of material properties in the model
  • Optimization of the structure

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