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 an anterior portion, a posterior portion and two lateral portions corresponding to intersections of the anterior portion and the posterior portion. The devices have a first shape in a first configuration and a second shape in a second configuration and are configured to transform from the first configuration to the second configuration in response to an activation energy applied thereto. The transformation is configured to reduce a distance between the anterior portion and the posterior portion more than a distance between the two lateral portions.