Consider a bouncy ball, like a basketball or golf ball what-have-you. When the ball bounces, it will compress vertically. The mass of air inside the ball remains constant, but we expect the pressure to change throughout the volume i.e. the pressure distribution is no longer uniform, and the shear strain on the surface of the ball is expected to become higher at the edges than on the the top of the ball. We model the "bounce" as an isothermal process at first.
My question is, will the ball's volume change when it bounces? Will the volume of the ball increase momentarily, or will the increased strain at the edges counteract the decreased strain on top? Perhaps I've made some incorrect assumptions as well - how might one model the process of a ball bouncing using say, thermodynamics, and stress and strain within the ball?
The process is quite transient of course, so the behavior might not be outright simple. But surely there is a way to model the bounce.
Thanks in advance.
I've found that the subject of dynamic deforming solids is contact mechanics which distinguishes between adhesive and non-adhesive contact. This question assumes the non-adhesive case. This is a "sphere in contact with a plane" problem it would appear.