Relaxed elastic line on a curved surface
نویسندگان
چکیده
منابع مشابه
Relaxed Elastic Line on a Curved Surface
In an effort to begin to understand the mechanics of various forms of biologically packaged DNA, we develop the Euler-Lagrange equations for the equilibrium path of an elastic line constrained to a surface but otherwise relaxed. We find, in contrast to a statement by Hilbert and Cohn-Vossen [1], that whether or not the solutions are geodesic curves of the surface depends on the boundary conditi...
متن کاملElastic instability of a crystal growing on a curved surface.
Although the effects of kinetics on crystal growth are well understood, the role of substrate curvature is not yet established. We studied rigid, two-dimensional colloidal crystals growing on spherical droplets to understand how the elastic stress induced by Gaussian curvature affects the growth pathway. In contrast to crystals grown on flat surfaces or compliant crystals on droplets, these cry...
متن کاملInstability of a Surface Elastic Line on an Unnatural Ramp
A line with bending resilience (Hooke's Law constant b) but invariant length / (elastic line) is confined to a cylindrical surface of radius R. A clamp at its starting point requires its initial direction always to lie along the base circle, but its end point and direction are not constrained. The trajectory in which the elastic line lies for its entire length along the circle is then an equili...
متن کاملHow a curved elastic strip opens.
An elastic strip is transversely clamped in a curved frame. The induced curvature decreases as the strip opens and connects to its flat natural shape. Various ribbon profiles are measured and the scaling law for the opening length validates a description where the in-plane stretching gradually relaxes the bending stress. An analytical model of the strip profile is proposed and a quantitative ag...
متن کاملWrapping conformations of a polymer on a curved surface.
The conformation of a polymer on a curved surface is high on the agenda for polymer science. We assume that the free energy of the system is the sum of bending energy of the polymer and the electrostatic attraction between the polymer and surface. As is also assumed, the polymer is very stiff with an invariant length for each segment so that we can neglect its tensile energy and view its length...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1987
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/910458