(a) Total device
resistance, average strain, and vacuum chamber
pressure versus time for a sensor device consisting
of an 18 μm diameter graphene membrane. The resistance and pressure
are taken from direct electrical readout, while the average strain
is estimated with the help of a strain-deflection COMSOL FEA simulation.
(b) Resistance versus strain relationship for the
same device from (a). There is a linear relationship between changes
in resistance and strain which is predicted by linearized Boltzmann
transport simulations. (c) Percentage change in resistance of the
graphene membrane area for three devices with different membrane areas
as 18 μm diameter circular membrane (gray x), 24 μm diameter
membrane (blue diamonds), and 6 μm × 64 μm rectangular
membrane (orange dots). Results from corresponding simulations of
the percentage resistance change are shown for uniaxial strain (red),
corresponding to the rectangular membrane, and for biaxial strain
(blue), corresponding to a circular membrane. (d) Color-coded areas
of the resistors used for the equivalent resistance model for a device
with a circular membrane area (1) and rectangular membrane area (2).
(e) Extracted gauge factors of the different devices compared with
the simulation results for both uniaxial and biaxial strained graphene
membranes. Note that the gauge factors are constant regardless of
the membrane pressure and the membrane diameter for the circular membranes.