abstract: We will discuss some properties of (G)SBV functions. In general, the curl of the approximate gradient of such a function can apparently be a nasty object. However, in a simple case (bounded gradient, jump with finite surface), it is shown to be a measure controlled by the surface measure of the jump. A consequence is a "piecewise rigidity" result for displacements with gradient almost everywhere a rotation, and jump with finite surface. This is a joint work with A. Giacomini and M. Ponsiglione.