Over the past twenty years, a substantial amount of research has been performed to expand the modeling capabilities of energy geostructures: innovative earth-contact structures that provide combined structural support and renewable energy supply. Several analytical and semi-analytical solutions have been made available for describing the thermo-mechanical behavior of cylindrical energy geostructures such as energy piles. However, no analytical solutions for capturing the thermo-mechanical behavior of plane energy geostructures such as energy walls and slabs have been developed until recently. This paper summarizes the essential features of the first analytical solution available for describing the thermo-mechanical behavior of plane energy geostructures. This analytical solution extends Winkler's model for a beam resting on an elastic soil mass to non-isothermal conditions, allowing to quantify the effects of temperature variations, axial loads, transversal loads and bending moments applied to plane energy geostructures. Such an analytical solution can be used in the analysis of an elementary unit represented by a single beam as well as complex plane energy geostructures using the superposition principle. Based on the preceding capabilities, the proposed analytical solution may effectively serve the analysis or design of plane energy geostructures under the influence of mechanical and/or thermal loads.