A three-dimensional object printer has a platen that is configured to facilitate the release of objects formed on the platen. The platen includes a first layer and second layer, the first layer having a coefficient of thermal expansion that is different than a coefficient of thermal expansion of the second layer. A controller in the printer is configured to operate at least one ejector in an ejector head to form a three-dimensional object on the surface of the platen with reference to digital image data and, upon completion of the object, to operate a temperature control device operatively connected to the platen to bend the platen by changing the temperature of the platen and releasing a three-dimensional object from the platen.