Project description

In this subproject, the focus is on the modeling and simulation of the non-linear deformation and damage of hierarchical material systems. These materials systems are nano-composites where Fe3O4 or TiO2 ceramic particles are used for reinforcement. Here, conventional continuum mechanic theories are not applicable to describe the corresponding material behavior properly, since the specific architecture and length scale of the microstructure of this nanocomposite is below 100 nm. Overall, the material system is described by four different submodels: ceramics, ligands (interparticle and polymer interactions), interphase and polymer, with each submodel using a different approach. The damage is also taken into account in the individual components separately. The model parameters are obtained in close cooperation with the other subprojects, in particular A6, but also A3 and B4 (for the continuum phases) as well as A4 for the ligands (interface).

The deformation and damage mechanisms in the hierarchical material systems are investigated by Representative Volume Elements (RVEs). The simulations of these RVEs then provide the basis for the establishment of a non-local macroscopic constitutive law coupled with damage on the next higher hierarchical level. This is achieved through computational homogenization methods, which enables us to simulate even larger microstructural experiments from subprojects A3 and A6 in order to validate the various components of the modeling. Finally, the findings in this subproject serve to specifically support the optimization of the hierarchical material system in cooperation with sub-projects A1 and A6 with respect to the geometrical and production parameters.



Project leaders
Prof. Dr.-Ing. Swantje Bargmann,
University of Wuppertal
Dr.-Ing. Ingo Scheider,





homogenization                             polymer


1. S. Bargmann et al.: Towards bio-inspired engineering materials: Modeling and simulation of the mechanical behavior of hierarchical bovine dental structure. Comput. Mater. Sci. 79, 390-401, 2013

2. I. Scheider et al.: Damage modeling of small-scale experiments on dental enamel with hierarchical microstructure. Polymer 104, 279-295, 2016

3. S. Ma et al.: Continuum damage modeling and simulation of hierarchical dental enamel. Modelling Simul. Mater. Sci. Eng. 24.4, 045014, 2016

4. S. Ma et al.: Anisoptropic consitutive model incorporating multiple damage mechanisms for multiscale simulation of dental enamel. J. Mech. Behavior Biomed. Mater. 62, 515-533, 2016

... and more on the list of publications.

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