5 papers
Effective elastic wave transmission through a periodically voided interface
Markus Gahn, Tanja Lochner, Malte A. Peter
Effective interface conditions for a periodically voided thin layer separating two homogeneous bulk regions are derived for the elastic wave equation by taking the simultaneous lim…
Effective transmission through an interface with evolving microstructure
Lucas M. Fix, Gianna Götzmann, Malte A. Peter +1
We study the asymptotic behaviour of a system of nonlinear reaction--diffusion--advection equations in a domain consisting of two bulk regions connected via microscopic channels di…
Effective permeabilities for flow through anisotropic microscopic geometries
Loïc Balazi, Fabian Holzberger, Stephan B. Lunowa +3
This work develops a computational and theoretical framework for determining effective permeabilities in anisotropic microscopic geometries containing dense, fibre-like obstacles,…
Neural Network Enhanced Polyconvexification of Isotropic Energy Densities in Computational Mechanics
Loïc Balazi, Timo Neumeier, Malte A. Peter +1
We present a neural network approach for fast evaluation of parameter-dependent polyconvex envelopes, which are crucial in computational mechanics. Our method uses a neural network…
Hierarchical Rank-One Sequence Convexification for the Relaxation of Variational Problems with Microstructures
Maximilian Köhler, Timo Neumeier, Malte. A. Peter +2
This paper presents an efficient algorithm for the approximation of the rank-one convex hull in the context of nonlinear solid mechanics. It is based on hierarchical rank-one seque…