Benjamin Brands
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View article: Reduced-Order Modelling and Homogenisation in Magneto-Mechanics: A Numerical Comparison of Established Hyper-Reduction Methods
Reduced-Order Modelling and Homogenisation in Magneto-Mechanics: A Numerical Comparison of Established Hyper-Reduction Methods Open
The simulation of complex engineering structures built from magneto-rheological elastomers is a computationally challenging task. Using the FE 2 method, which is based on computational homogenisation, leads to the repetitive solution of mi…
View article: The deal.II library, Version 9.0
The deal.II library, Version 9.0 Open
This paper provides an overview of the new features of the finite element library deal.II version 9.0.
View article: A numerical study of different projection-based model reduction techniques applied to computational homogenisation
A numerical study of different projection-based model reduction techniques applied to computational homogenisation Open
Computing the macroscopic material response of a continuum body commonly involves the formulation of a phenomenological constitutive model. However, the response is mainly influenced by the heterogeneous microstructure. Computational homog…
View article: Computational Homogenisation using Reduced‐Order Modelling applied to Hyperelasticity
Computational Homogenisation using Reduced‐Order Modelling applied to Hyperelasticity Open
Within this study nonlinear reduced‐order modelling for hyperelastic material is applied for the boundary value problem on the micro‐scale which arises in the context of computational homogenisation. This involves the Proper Orthogonal Dec…