Sole structures (e.g., midsoles and/or outsoles) and articles of footwear include heel-supporting areas and/or forefoot-supporting areas that include a central area (e.g., a central recessed area) and a plurality of surrounding rings. Additionally or alternatively, the sole structures (e.g., midsoles and/or outsoles) may include bands of material defined by recessed grooves to provide a bumpstop type impact-force attenuating structure.