Stress and morphology evolution during island growth

We performed a series of hybrid molecular-dynamics simulations of island growth on a substrate and monitored island stress evolution for several different island/substrate interfacial energies. Smaller (larger) interfacial energy yields islands with a stronger (weaker) compressive stress-thickness product. We present analytical results that suggest that the stress-thickness product is a linear function of the substrate coverage, with slope equal to minus the substrate surface stress, if the island is in mechanical equilibrium, and verify these results with simulation data.