Methods and devices are provided for support of a body structure. The devices can be adjusted within the body of a patient in a minimally invasive or non-invasive manner such as by applying energy percutaneously or external to the patient's body. The energy may include, for example, acoustic energy, radio frequency energy, light energy and magnetic energy. Thus, as the body structure changes size and/or shape, the size and/or shape of the annuloplasty rings can be adjusted to provide continued reinforcement. In certain embodiments, the devices include a first body member including a first shape memory material configured to transform the annuloplasty ring from a first configuration having a first size of a dimension to a second configuration having a second size of the dimension. The second size is less than said first size in septal lateral distance. The devices also include a second body member including a second shape memory material configured to transform the annuloplasty ring from the second configuration to a third configuration having a third size of the dimension, wherein the second size is less than the third size in septal lateral distance.