Fig. 6: Two-way contractible designs with target deployed shapes.
From: Physics-aware differentiable design of magnetically actuated kirigami for shape morphing
a Shows simulated configurations of designed kirigami with circular deployed shapes under negative, zero, and positive external magnetic excitations, respectively. b Shows experimental results corresponding to Fig. 6a. c Energy analysis for the kirigami in Fig. 6a, b in the constant magnetic field. Regions shaded in red and blue correspond to analysis under constant positive (\(+35{{{{{\rm{mT}}}}}}\)) and constant negative (\(-35{{{{{\rm{mT}}}}}}\)) magnetic excitations, respectively. Insets show kirigami configurations corresponding to the dots in the energy curves. Configurations on top of each half share the same magnetic field in energy calculation. The dashed arrows represent two contraction paths, pointing from zero states to the two energy minima (compact states). Source data are provided as a Source Data file. d shows different states with goblet-like deployed shapes. e shows experimental results corresponding to Fig. d. f Energy analysis for the kirigami in Fig. d, e, given the constant magnetic field. Regions shaded in red and blue correspond to analysis under constant positive (\(+35{{{{{\rm{mT}}}}}}\)) and constant negative (\(-35{{{{{\rm{mT}}}}}}\)) magnetic excitations, respectively. Source data are provided as a Source Data file.
