ABSTRACT
As you work through the various de nitions, you should bear in mind that shape changes near a point can always be characterized by six numbers. ese could be the six independent components of the Lagrangian strain, Eulerian strain, the le or right stretch tensors, or your own favorite deformation measure. Given the complete set of six numbers for any one deformation measure, you can always calculate the components of other strain measures. e reason that so many di erent deformation measures exist is partly because di erent material models adopt di erent strain measures and partly because each measure is useful for describing a particular type of shape change.
