In one aspect, a method of method of performing a wellbore operation is disclosed that in one embodiment may include: providing a device that includes a non-explosive energetic material configured to disintegrate when subjected to a selected energy; placing the device at a selected location in the wellbore to perform a selected function; and subjecting the device to the selected energy to disintegrate the device in the wellbore after the device has performed the selected function. In another aspect an apparatus for use in a wellbore is disclosed that in one embodiment may include a device placed in the wellbore at a selected location, wherein the device includes a non-explosive energetic material configured to disintegrate when subjected to a selected energy, and a source of the selected energy configured to subject the device to the selected energy in the wellbore to disintegrate the device.