Shearing of mono- and bilayer monatomic films confined between planar
solid surfaces is investigated by Monte Carlo simulations in the isost
ress-isostrain ensemble, where temperature, number of film atoms, rela
tive transverse alignment of the surfaces, and applied normal stress a
re thermodynamic state variables. The surfaces consist of individual a
toms that are identical with film atoms and are rigidly fixed in the f
ace-centered cubic (fee) (100) configuration. The lattice constant l o
f the walls is varied so that the walls are either commensurate with t
he (solid) film at fixed nominal lattice constant l(f) (i.e. l/l(f)=1)
, homogeneously compressed (l/l(f)<1), or stretched (l/l(f)>1). Rheolo
gical properties as shear stress T-zx and modulus c(44) are correlated
with molecular structure of the layers, as reflected in orientational
correlations. If the surfaces are properly aligned in transverse dire
ctions, then the layers exhibit a high degree of fee order. As such or
dered films are subjected to a shear strain (by reversibly moving the
surfaces out of alignment), they respond initially as an elastic solid
: at small strains T-zx depends linearly on the strain. As the shear s
train increases, the response becomes highly nonlinear: T rises to a m
aximum (yield point) and then decays monotonously to zero,where the ma
ximum misalignment of the walls occurs. The dependence of T on the she
ar strain up to states just beyond the yield point can be interpreted
as the nonlinear response of an elastic solid to deformation. Orientat
ional correlation functions indicate that the films are not necessaril
y solid, even when the walls are in proper alignment. The results sugg
est that the principle mechanism by which disordered nonsolid films ar
e able to resist shearing is ''pinning'': the film atoms are trapped i
n effective cages formed by their near neighbors and mutual attraction
of the walls for the caged atoms pin them together.