Final answer:
Pathologies such as osteoporosis-induced compression fractures in vertebrae alter the shape under compression, as the structural integrity is compromised due to weak bones.
Step-by-step explanation:
Pathologies that should change shape with compression include those involving elastic tissues or structures prone to deformation, such as certain types of vertebrae in cases of osteoporosis where bone loss leads to curvature changes due to compression fractures. When a force is applied to any object that has an elastic modulus, a change in length (AL) can occur, resulting in either a tensional elongation or a compression shortening.
Moreover, volume deformation is linked to the concept of stress, showing changes similar to tension and compression, especially when an even force is applied to all sides of an object.