Modeling helicoid to spiral-ribbon transitions of twist-nematic elastomers

Towards lysozyme nanotube and 3D hybrid self-assembly

“…1(a), ESI S1-3 †) or by AFM ( Fig. 38,39 The line tension energy reduction, i.e. This closing mechanism exploits the fact that transition from helical ribbons to nanotubes can be achieved via a continuous progressive evolution of the mean curvature.…”

“…This indicates that the nanotube is completely attened by the deposition and drying process (bilayer). 38,39 As seen in Fig. 2(c) as an inset cross-section scheme, can be easily calculated, based on the attened tube apparent width of 95 nm (ESI, VII).…”

Dimension reduction via $$\Gamma $$ Γ -convergence for soft active materials

“…Similar issues have been the object of recent intense investigation, see e.g. [3,6,22,23,27] and also [7,9,10,12,13,19,25]. The point of view we adopt here is that of a systematic derivation of dimensionally-reduced models by means of Γ-convergence.…”

“…Moreover, the class W 2,2 iso (ω ε , R 3 ) is that of the isometric immersions of ω ε into the three-dimensional Euclidean space, namely 25) where I 2 is the identity matrix of R 2×2 .…”

Mechanics of Bio–hybrid Systems

“…Actually, driven by results got for different soft systems with the same key stiffer microstructure, we expect to get helicoid-like shapes and ribbon-like shapes, depending on the aspect ratio of the strip. 10,11,12 Before solving the electro-mechanical problem, with the myocites's shortening driven by an electric stimulus, we deal with the elastic problem of the system with the aim to understand which mechanical and geometrical parameters, apart from the aspect ratio, drive the final shape of the strip. We implemented the three-dimensional fully nonlinear elastic problem already presented and shortly summed up in the Background section.…”