Batteries including electrochemical cells, associated components, and arrangements thereof are generally described. In some aspects, batteries with housings that undergo relatively little expansion and contraction even in cases where electrochemical cells in the battery undergo a relatively high degree of expansion and contraction during charging and discharging are provided. Batteries configured to apply relatively high magnitudes and uniform force to electrochemical cells in the battery, while in some cases having high energy densities and a relatively low pack burden, are also provided. In certain aspects, arrangements of electrochemical cells and associated components are generally described. In some aspects, thermally conductive solid articles that can be used for aligning components of the battery are described. In some aspects, thermally insulating and compressible components for battery packs are generally described.