4 papers
Equivariant Flow Matching for Symmetry-Breaking Bifurcation Problems
Fleur Hendriks, OndÅej RokoÅ¡, Martin DoÅ¡káŠ+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 DoškáŠ+3
Mechanical metamaterials often exhibit pattern transformations through instabilities, enabling applications in, e.g., soft robotics, sound reduction, and biomedicine. These transfo…
Similarity Equivariant Graph Neural Networks for Homogenization of Metamaterials
Fleur Hendriks, Vlado Menkovski, Martin DoškáŠ+2
Soft, porous mechanical metamaterials exhibit pattern transformations that may have important applications in soft robotics, sound reduction and biomedicine. To design these innova…
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…