A new approach for the equilibrium deformation of three-dimensional chains, that are bigrafted to parallel planes is presented. The underlying lattice Monte Carlo algorithm is the bond fluctuation model. In addition to the excluded-volume interaction of this a priori athermal algorithm, we incorporated external potentials in order to enable direct detection of forces. The whole deformation process is split up into a series of separate steps. Each step consists of a generation process and subsequent relaxation procedures. Stress and strain are simultaneously calculated as time-averaged quantities of sufficiently equilibrated systems. Stress–strain relations ranging from compression to the highly stretched regime were simulated by variation of both chain length, N, and grafting density, σ. In the high-density limit the simulation data agree perfectly with a simple one-dimensional theory. The N and σ dependency of the distance, h0(N,σ), of grafting planes at vanishing force is in qualitative agreement with theoretical predictions for an intermediate regime of σ. The simulated force–length relations are in satisfactory agreement with current scaling predictions.
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