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. 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 without substantially decreasing a distance between the two lateral portions.