A relatively simple 2-D model has been developed to understand the thermodynamic stability of voids trapped at liquid-solid surfaces. It is important to note that this paper does not address mechanisms of void formation, which undoubtedly involve complex hydrodynamic factors at the liquid-solid interface. Also, the model does not address the kinetics of void liberation, which will be dependent on factors such as the rheological properties of the liquid and the temperature. An understanding of the mechanisms both of void formation and of void removal are necessary to predict the likelihood and density of void-like defects and for prescribing detailed methods by which voids can be removed. Nevertheless, the kind of analysis presented here can provide useful insights into the energetics of the problem and can suggest promising directions for making further progress in the study of such systems.