In this talk I will mainly discuss two projects. The first deals with deforming an unstretchable material surface to form a closed ribbon. The bending energy associated with such a deformation is proportional to the integral of the square of the mean curvature over the deformed surface. However, since the material is unstretchable, this energy can be represented as a line integral over the ribbon’s midline. While this has been recognized in earlier works, I’ll fill in the gaps and present the complete variational problem. The next project, which was inspired by the first, answers the question of how can you construct a developable surface from a space curve. It turns that that besides the well-known tangent and rectifying developable surfaces, there is an entire family of such surfaces that can be generated. The last few minutes will be dedicated to my current work on extending the dimensional reduction argument of the first part of my talk to more general domain
Zoom link:
https://luc.zoom.us/j/88160963697
Meeting ID: 881 6096 3697
