The metric description of incompatible growth and irreversible deformations
Monday, May 16, 2011 - 4:30pm - 5:00pm
Efi Efrati (University of Chicago)
The language of Riemannian geometry arises naturally in the elastic description of amorphous solids, yet in the long history of elasticity it was put to very little practical use as a computational tool. In recent years the usage of Riemannian terminology has been revived, mostly in the context of incompatible irreversible deformations. In this talk I will compare different approaches to the description of growth and irreversible deformations focusing on the metric description of incompatible growth. I will also discuss the appropriate reduced theories for slender bodies. Particularly, I will present a specific problem inspired by strictureplasty in which the metric approach elucidates the path to solution.