83 citations · 439 across the 14 of their papers we have counts for
14 papers
Isometric bending requires local constraints on free edges
Jemal Guven, Martin Michael Müller, Pablo Vázquez-Montejo
While the shape equations describing the equilibrium of an unstretchable thin sheet that is free to bend are known, the boundary conditions that supplement these equations on free…
Squeezed Helical Elastica
Lila Bouzar, Martin Michael Müller, Pierre Gosselin +2
We theoretically study the conformations of a helical semi-flexible filament confined to a flat surface. This squeezed helix exhibits a variety of unexpected shapes resembling circ…
Toroidal membrane vesicles in spherical confinement
Lila Bouzar, Ferhat Menas, Martin Michael Müller
We investigate the morphology of a toroidal fluid membrane vesicle confined inside a spherical container. The equilibrium shapes are assembled in a geometrical phase diagram as a f…
Crunching Biofilament Rings
Julien Fierling, Martin Michael Müller, Hervé Mohrbach +2
We discuss a curious example for the collective mechanical behavior of coupled non-linear monomer units entrapped in a circular filament. Within a simple model we elucidate how mul…
Confotronic Dynamics of Tubular Lattices
Osman Kahraman, Hervé Mohrbach, Martin Michael Müller +1
Tubular lattices are ubiquitous in nature and technology. Microtubules and nanotubes of all kinds act as important pillars of biological cells and the man-made nano-world. We show…
Dipoles in thin sheets
Jemal Guven, J. A. Hanna, Osman Kahraman +1
A flat elastic sheet may contain pointlike conical singularities that carry a metrical "charge" of Gaussian curvature. Adding such elementary defects to a sheet allows one to make…