The link below provides a collection of slides used to explain Mohr’s circle in an undergraduate mechanics course at the University of Utah. If you use a Mac, it is unlikely that these will render properly (so go sit at a PC in your university computer lab to look at them). Make sure to use slideshow mode, as these have many animations!
MohrCircleFiles (zip file contains two PPT lectures and one Mathematica file)
The enrichment discussion of the CPDI2 publication* provided the following figure to illustrate the CPDI2 basis functions:
This figure, however, has the shortcoming of not clearly depicting the partition of unity property.
In hindsight, we should have used…
Motion without superimposed rotation
Same deformation with superimposed rotation
When developing constitutive models, it is crucial to run the model under a variety of standard (and some nonstandard) homogeneous deformations. To do this, you must first describe the motion mathematically. As indicated in http://csm.mech.utah.edu/content/wp-content/uploads/2011/03/GoBagDeformation.pdf, a good way to do that is to give the deformation gradient tensor, F. The component matrix [F] contains the deformed edge vectors of an initially unit cube, making this a very easy to way to prescribe deformations.
University of Utah CSM Group 