14 citations · 37 across the 6 of their papers we have counts for
6 papers
Equivariant Flow Matching for Symmetry-Breaking Bifurcation Problems
Fleur Hendriks, Ondřej Rokoš, Martin Doškář +2
Bifurcation phenomena in nonlinear dynamical systems often lead to multiple coexisting stable solutions, particularly in the presence of symmetry breaking. Deterministic machine le…
Wallpaper Group-Based Mechanical Metamaterials: Dataset Including Mechanical Responses
Fleur Hendriks, Vlado Menkovski, Martin Doškář +3
Mechanical metamaterials often exhibit pattern transformations through instabilities, enabling applications in, e.g., soft robotics, sound reduction, and biomedicine. These transfo…
Reduced-order modeling for second-order computational homogenization with applications to geometrically parameterized elastomeric metamaterials
T. Guo, V. G. Kouznetsova, M. G. D. Geers +2
The structural properties of mechanical metamaterials are typically studied with two-scale methods based on computational homogenization. Because such materials have a complex micr…
Similarity Equivariant Graph Neural Networks for Homogenization of Metamaterials
Fleur Hendriks, Vlado Menkovski, Martin Doškář +2
Soft, porous mechanical metamaterials exhibit pattern transformations that may have important applications in soft robotics, sound reduction and biomedicine. To design these innova…
A Comparative Study of Enriched Computational Homogenization Schemes Applied to Two-Dimensional Pattern-Transforming Elastomeric Mechanical Metamaterials
S. O. Sperling, T. Guo, R. H. J. Peerlings +3
Elastomeric mechanical metamaterials exhibit unconventional behaviour, emerging from their microstructures often deforming in a highly nonlinear and unstable manner. Such microstru…
Application of the method of multiple scales to unravel energy exchange in nonlinear locally resonant metamaterials
P. B. Silva, M. J. Leamy, M. G. D. Geers +1
In this paper, the effect of weak nonlinearities in 1D locally resonant metamaterials is investigated via the method of multiple scales. Commonly employed to the investigate the ef…