Speaker
Mr
Benjamin Brands
(Friedrich-Alexander-Universität Erlangen-Nürnberg)
Description
The mechanical response of magnetorheological composites is highly affected by an applied magnetic field. Since a generally valid constitutive law does not exist for such heterogeneous materials, multiscale techniques like computational homogenisation are commonly used to approximate effective macroscopic properties. In our approach the macroscopic quantities at a material point of a magnetorheological elastomer are derived from the response of the underlying micro-structure, where the constitutive law is known, using first-order homogenisation.
The computational cost of this nested solution scheme known as the FE² method prohibits the simulation of complex macroscopic problems. To mitigate the computational bottleneck the FE models on the microscale are replaced by reduced-order models (ROMs). In projection-based ROM the governing equations are projected onto the reduced basis, which is an approximation of the solution manifold of the parametrised partial differential equations (pPDE). The reduced basis is commonly constructed using previously computed solutions of the pPDE, e.g. by applying proper orthogonal decomposition or the reduced basis method.
We will present our approach for the construction and computation of the reduced-order models on the microscale. Through various numerical examples the accuracy and time savings of the reduced models will be discussed.
Primary author
Mr
Benjamin Brands
(Friedrich-Alexander-Universität Erlangen-Nürnberg)
Co-authors
Denis Davydov
(Friedrich-Alexander University Erlangen-Nuremberg)
Dr
Julia Mergheim
(Friedrich-Alexander-Universität Erlangen-Nürnberg)
Prof.
Paul Steinmann
(Friedrich-Alexander-Universität Erlangen-Nürnberg)
