  Using density functional theory (DFT), we investigate mechanical properties
of a few 2D metal-organic frameworks (MOFs) and covalent-organic frameworks
(COFs) having Dirac and flat bands. These porous materials have become a
subject of great captivation because of their physical stability, distinctive
structural characteristics and large surface to volume ratio. The inherent
porosity of these frameworks gives rise to many fascinating and occasionally
surprising phenomena, which makes them potential candidates for technological
applications. For reliable usage of MOFs/COFs in functional nanodevice and
practical application, it is quite imperative to investigate their mechanical
properties. Thus, herein a particular attention is paid to study elastic
deformation of few 2D MOFs and COFs having non trivial topological band
dispersion in the regime with linear dependency of stress upon strain.
Specially, we consider different types of deformation and find all the
components of elastic tensor from the stress-strain and energy-strain curves.
These findings may provide useful information to fabricate the MOFs/COFs based
devices by lowering the number of experiments.
