Every day we experiment motion and shape change of continuum media, assembly of different space dimension structures, fluids, solids which exhibit numerous evolutions either particular or general: large deformations, incompressibility, cavitation, contact, surface tension, defects, dislocations,... Stretch and rotation are a common feature of these motions and phenomenons. We base a continuum mechanics predictive theory on stretch and rotation quantified by matrices. In this Chapter we investigate surface tension which results from the evolution of the surface of fluids. It is described by a surface free energy: the area of the surface, and possibly by a surface pseudo-potential of dissipation. The cavitation properties due to the experimented incompressibility condition are described. The classical small deformation experimental results as the Laplace’s law are described.