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 comprise a shape memory material, and further include a body member and an insert member. The body member has a circumference and a slot that extends at least partially along the circumference of the body. The insert member extends at least partially along the circumference of the body. The device has a first shape in a first configuration and a second shape in a second configuration, and is configured to transform from a first configuration to a second configuration in response to a first activation energy applied thereto.