M. Kästner: Multiscale XFEM modeling of magnetosensitive materials using microstructural image data
Description
Magnetosensitive materials are in great demand from science, medicine and technology with a special interest on their macroscopic properties. Because the effective material behavior is essentially determined by the properties of the individual components and their geometrical arrangement in the composite, this project will apply multiscale modeling strategies to magnetosensitve materials, exemplarily focusing on magnetorheological elastomers. All considered length scales are to be modeled in a continuum based, phenomenological way.
Starting from the properties of the magnetizable particles and the polymeric matrix, homogenization techniques are used to predict the effective mechanical, magnetic and magneto-mechanical behavior. In this context, the availability of micro- and mesoscopic numerical models is a crucial requirement for the application of computational homogenization methods. Therefore, efficient procedures which convert microstructural images into a numerical model of the local material structure are to be developed.
By combining image segmentation algorithms with the extended finite element method (XFEM), advantageous features of voxel-based approaches such as the non-conforming, structured mesh are joint by a smooth representation of material interfaces which results in an improved accuracy of the local field quantities compared to a voxel discretization.
Effective actuation stresses for nonlinear (solid lines) and linear magnetic behavior (dashed lines) in dependence of the macroscopic induction with displacement field u1 (depicted three times increased) for a magnetic load in the angle of 45° to the pr
Project Manager
Prof. Dr.-Ing. Markus Kästner, TU Dresden
Staff
Dipl.-Ing. Karl Kalina, TU Dresden
Grant period
2013 -
Publications
[1] C. Spieler, M. Kästner, J. Goldmann, J. Brummund, V. Ulbricht: XFEM modeling and homogenization of magnetoactive composite materials. Acta Mechanica 224(11), S.2453-2469, 2013
[2] S. May, M. Kästner, S. Müller, V. Ulbricht: Hybrid IGAFEM/IGABEM formulation for two-dimensional stationary magnetic and coupled magneto-mechanical field problems. Computer Methods in Applied Mechanics and Engineering 273, S.161-180, 2014
[3] C. Spieler, P. Metsch, M. Kästner, V. Ulbricht: Microscale Modelling of Magnetoactive Composites Undergoing Large Deformations . Technische Mechanik 34(1), S. 39-50, 2014
[4] C. Spieler, M. Kästner, V. Ulbricht: Analytic and numeric solution of a magneto-mechanical inclusion problem. Archive of Applied Mechanics, 85(9), S. 1483–1497, 2015
Contact
TU Dresden
Institut für Festkörpermechanik
01062 Dresden