The rheological behavior of a monolayer film of spherically symmetric
molecules confined between two solid surfaces (i.e., walls) is investi
gated in isostress-isostrain ensemble Monte Carlo simulations. The wal
ls consist of individual atoms interacting with film molecules via the
Lennard-Jones potential. By employing the Einstein model, wall atoms
are also subject to a harmonic binding potential and may depart from t
heir equilibrium lattice sites so that the walls are thermally corruga
ted. The film can be exposed to a shear strain by moving the walls rel
ative to each other in transverse directions. Molecular expressions fo
r the shear stress are derived which differ from the ones previously o
btained for thermally decoupled walls (i.e., in which wall atoms are r
igidly fixed in their equilibrium lattice positions). Unlike the film'
s local structure the shear stress depends sensitively on the degree o
f thermal corrugation of the walls. The larger it is the more plastic
is the response of the film to an applied shear strain.