Aligner systems and methods including a sequence of aligners having energy-delivering elements. For example, first and second aligners of the sequence of aligners may include first and second polymer shells that have shapes for applying respective first and second local forces to first and second regions of a dental arch to move one or more first teeth and one or more second teeth, respectively. The first and second aligners may also include corresponding first and second heating elements that are arranged to heat first and second target regions of the dental arch associated with moving the one or more first teeth and one or more second teeth, respectively. Heat energy from the first and second heating elements may improve an outcome of respective first and second stages of a treatment plan.