A process and an apparatus for controlling temperature loss and shrinkage of meat after an animal is slaughtered for food. Shrinkage is controlled by compressing the meat during cooling, the compression offsetting a natural tendency of the meat to contract and providing a measure of control over the shaping of the meat. Apparatus for the process includes one or more rigid rings for placement around the meat. Each ring is wrapped with a thread secured rigidly to one side of the ring and secured movably to the other side such as to allow the length of thread on the second side of the rigid ring to form at least one winding around the meat. As the meat cools, the thread shrinks, applying the thermal contraction of the thread along the ring to constrict the winding around and thus longitudinally elongate the meat.