  In this work, we present a high-throughput first-principles study of elastic
properties of bulk and monolayer materials mainly using the vdW-DF-optB88
functional. We discuss the trends on the elastic response with respect to
changes in dimensionality. We identify a relation between exfoliation energy
and elastic constants for layered materials that can help to guide the search
for vdW bonding in materials. We also predicted a few novel materials with
auxetic behavior. The uncertainty in structural and elastic properties due to
the inclusion of vdW interactions is discussed. We investigated 11,067 bulk and
257 monolayer materials. Lastly, we found that the trends in elastic constants
for bulk and their monolayer counterparts can be very different. All the
computational results are made publicly available at easy-to-use websites:
https://www.ctcms.nist.gov/~knc6/JVASP.html and https://jarvis.nist.gov/ . Our
dataset can be used to identify stiff and flexible materials for industrial
applications.
