Quality of deformed elements

Dear all,

I have a question about models that use solid mechanics and experience large deformations. Imagine a 2D square heavily compressed, for example. To my understanding, at the end of the simulation it is possible to view the deformed elements of the mesh by checking the "Wireframe" option in one of the contour plots (it is correct, by the way?)

Now, how do I check quantitatively the quality of the deformed mesh? Is there a variable that I could plot? And, if the quality of the elements drops too low, is there a way to enable remeshing of the geometry during the simulation?

Thank you for your help,
Best,
Pietro