FeelMath – Mechanical and Thermal Properties of Microstructures

FeelMath is a fast and easy to use analysis tool for the calculation of effective mechanical and thermal properties of micro-structures given by volume images or analytical descriptions.


Extracting Information for the Microstructure

The micro-structure of a material affects its properties like thermal conductivity, elasticity, or acoustic absorption. By means of image analysis, the most important information for the microstructure is obtained by means of SEM images or tomographies. Furthermore, image analysis determines microstructure information which is necessary for the design on the macro scale, or e.g. at the level of the whole part.

In addition, the representative volume element is determined in such a way that it is small enough not to take up too many computer resources, but large enough to remain meaningful. Macroscopic material properties can also be created by realizing geometric models.


Finding the Optimal Microstructure

Modeling opens the door to the so-called digital material design and optimization of micro-structures. Simple changes of model parameters are reflected in slightly modified geometries, in which the target property can be simulated again.

This cycle can be repeated until the optimal micro-structure is found. Thus, costly mechanical tests and production of samples can be reduced while the relation between micro-structure and reaulting properties is better understood. 


is used to calculate the effective stiffness of anisotropic, elastic composites and porous materials (e.g., rocks). The big advantage is that the calculation does not require mesh generation, but instead works directly on 3D pixels (voxels).


is used to estimate the effective stiffness (directional elastic modulus) of anisotropic, elastic composites with analytical formulas (approximative formulas AF).


is used to simulate the physically and geometrically non-linear behavior (large deformations LD) of anisotropic composites and porous materials.

Von-Mises stresses under load in the fiber direction.
Von-Mises stretch under load in z-direction.
Berea sandstone.

FeelMath: Microstructure Simulation of Foams

With the microstructure simulation technique, it is possible to calculate the effective mechanical, thermal and acoustic properties of foams. FeelMath is an extremely fast and easy to use analysis tool for the calculation of effective mechanical and thermal properties of micro-structures given by volume images (µCT) or analytical descriptions (foam models). With FeelMath we can perform full-field simulations on representative elementary volumes of foams for different densities and pore sizes to obtain effective material models for multiscale simulation of foam components.

Our Software FeelMath Offers:

  • calculation of effective mechanical, thermal and acoustic material properties of foams
  • foam compression simulation
  • virtual material design and optimization of foams (PU, soft foam, rigid foam, metallic foams)
  • multiscale coupling via interfaces to CAE Tools (ABAQUS, ANSYS)

Example Projects


Efficient Multi-Scale Methods for Short Fiber Reinforced Plastics

In a cooperation with Bosch, we developed a multiscale simulation method to provide insight into the viscoelastic and fatigue behaviour of components made of short fibre reinforced polymer composites.


ResKin – Simulation of Processes in Reservoir Rock

The prediction of chemical reactions and their kinetics in reservoir rocks is the focus of the project. We support the simulation of these processes with our software tools.


Simulation Chain for Components

In several projects with Bosch, we have developed a simulation chain that takes the manufacturing process of fiber-reinforced components into account.


Characterization and Modelling of Long Fiber Reinforced Thermoplastics

We contribute our simulation expertise to the AiF project.


Adaptive Approximation Methods for Multiscale Simulation of Composites

Results from the Project MuSiKo.


Residual Stresses in Aluminum-Silicon Cast Alloys

The project investigates Al-Si cast alloys, which are used e.g. for cylinder heads and spherical houseing.


Simulation Fiber Boards

Together with our project partners, we develop basic principles for the production and the strength calculation of light MDF boards.