128 citations · 260 across the 15 of their papers we have counts for
4 papers · 1 filter
Energy Bounds for a Compressed Elastic Film on a Substrate
David P. Bourne, Sergio Conti, Stefan Müller
We study pattern formation in a compressed elastic film which delaminates from a substrate. Our key tool is the determination of rigorous upper and lower bounds on the minimum valu…
Folding patterns in partially delaminated thin films
David Bourne, Sergio Conti, Stefan Müller
Michael Ortiz and Gustavo Gioia showed in the 90s that the complex patterns arising in compressed elastic films can be analyzed within the context of the calculus of variations. Th…
Dislocation microstructures and strain-gradient plasticity with one active slip plane
Sergio Conti, Adriana Garroni, Stefan Müller
We study dislocation networks in the plane using the vectorial phase-field model introduced by Ortiz and coworkers, in the limit of small lattice spacing. We show that, in a scalin…
On the optimal constants in Korn's and geometric rigidity estimates, in bounded and unbounded domains, under Neumann boundary conditions
Marta Lewicka, Stefan Muller
We are concerned with the optimal constants: in the Korn inequality under tangential boundary conditions on bounded sets , and in the geometric rigidity esti…