Energy-driven pattern formation in elastic films
Dr David Bourne (Durham University)
Thursday 15th December, 2016 14:00-15:00 Maths 515
In this talk I will discuss self-similar folding patterns in a compressed elastic film that has partially delaminated from a substrate. Such patterns were observed in experiments to fabricate nanoscale structures from semiconductor films. We model the system with a suitable energy functional consisting of the von Karman plate energy and a fracture term, and prove rigorous upper and lower bounds on the minimum value of the energy. Some of the upper bound constructions match the patterns observed in experiments. This is joint work with Sergio Conti and Stefan Mueller.