  The fascinating realm of strain engineering and wetting transitions in
two-dimensional (2D) materials takes place when placed on a two-dimensional
array of nanopillars or one-dimensional rectangular grated substrates. Our
investigation encompasses a diverse set of atomically thin 2D materials,
including transition metal dichalcogenides, hexagonal boron nitride, and
graphene, with a keen focus on the impact of van der Waals adhesion energies to
the substrate on the wetting/dewetting behavior on nanopatterned substrates. We
find a critical aspect ratio of the nanopillar or grating heights to the period
of the pattern when the wetting/dewetting transition occurs. Furthermore,
energy hysteresis analysis reveals dynamic detachment and re-engagement events
during height adjustments, shedding light on energy barriers of 2D monolayer
transferred on patterned substrates. Our findings offer avenues for strain
engineering in 2D materials, leading to promising prospects for future
technological applications.
