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DFG-Projekt HE 5943/24-1

Contact mechanics for gradient materials

 

Despite the growing significance of generalized and microstructure continua, there are still open issues on boundary conditions including contact. The overall goal of the proposed research project is to develop, analyze and implement a novel set of contact formulations for higher order gradient materials, paving the way for further applications in the simulation of complex materials. For the bulk material, consideration of higher gradients in the strain energy function allows us to simulate complex materials with microstructure with high accuracy and efficiency.

As we have already shown and experimentally validated in [1], even extremely coarse meshes using a second gradient approach on fiber reinforced polymers provides similar accuracy compared to a first gradient formulation resolving single fiber bundles, i.e. using mesh sizes several magnitudes smaller. We expect a similar impact for the contact surface, noting that the application of a first gradient approach will remain possible at the cost of high computational resource and energy consumption and a detailed resolution of the contact surface.

 

 

 

DIC measurement of a 36 [mm] specimen in 60◦ configuration (left) and simulation results (right) at 4.6 [mm] total displacement, colors indicate local stretches in horizontal direction in [mm/m].

  • [1] J. Schulte, M. Dittmann, S.R.Eugster, S. Hesch, T. Reinicke, F. dell’Isola, C. Hesch. Isogeometric analysis of fiber reinforced composites using Kirchhoff–Love shell elements. Computer Methods in Applied Mechanics and Engineering, 362:112845, 2020.


Group: Prof. Dr. Christian Hesch

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