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The remarkable range of biological forms in and around us, such as the undulating shape of a leaf or flower in the garden, the coils in our gut, or the folds in our brain, raise a number of questions at the interface of biology, physics and…

General Mathematics · Mathematics 2021-05-13 Marta Lewicka , L. Mahadevan

A polymer repelled by unfavorable interactions with a uniform flat surface may still be pinned to attractive edges and corners. This is demonstrated by considering adsorption of a two-dimensional ideal polymer to an attractive corner of a…

Statistical Mechanics · Physics 2017-12-27 Raz Halifa Levi , Yacov Kantor , Mehran Kardar

In the deformation of layered materials such as geological strata, or stacks of paper, mechanical properties compete with the geometry of layering. Smooth, rounded corners lead to voids between the layers, while close packing of the layers…

Pattern Formation and Solitons · Physics 2015-05-28 Timothy Dodwell , Giles Hunt , Mark Peletier , Chris Budd

When stretched uniaxially, a thin elastic sheet may exhibit buckling. The occurrence of buckling depends on the geometrical properties of the sheet and the magnitude of the applied strain. Here we show that an elastomeric sheet initially…

Soft Condensed Matter · Physics 2013-11-25 Alessandro Lucantonio , Matthieu Roché , Paola Nardinocchi , Howard A. Stone

The adhesive behaviour of biological attachment structures such as spider web anchorages is usually studied using single or multiple peeling models involving "tapes", i.e. one-dimensional contacts elements. This is an oversimplification for…

Computational Physics · Physics 2020-03-18 Daniele Liprandi , Federico Bosia , Nicola M. Pugno

We present a generic framework for modelling three-dimensional deformable shells of active matter that captures the orientational dynamics of the active particles and hydrodynamic interactions on the shell and with the surrounding…

Soft Condensed Matter · Physics 2019-11-20 Luuk Metselaar , Julia M. Yeomans , Amin Doostmohammadi

In active matter systems, deformable boundaries provide a mechanism to organize internal active stresses and perform work on the external environment. To study a minimal model of such a system, we perform particle-based simulations of an…

Soft Condensed Matter · Physics 2022-01-05 Matthew S. E. Peterson , Aparna Baskaran , Michael F. Hagan

Using the Surface Evolver software, we perform numerical simulations of point-like deformations in a two-dimensional foam. We study perturbations which are infinitesimal or finite, isotropic or anisotropic, and we either conserve or do not…

Soft Condensed Matter · Physics 2008-12-18 Simon Cox , François Graner , M. F. Vaz

Adhesive peeling of a thin elastic film from a substrate is a classic problem in mechanics. However, many of the investigations on this topic to date have focused on peeling from substrates with flat surfaces. In this paper, we study the…

Applied Physics · Physics 2021-02-03 Weilin Deng , Haneesh Kesari

We consider the point-indentation of a pressurized elastic shell. It has previously been shown that such a shell is subject to a wrinkling instability as the indentation depth is quasi-statically increased. Here we present detailed analysis…

Soft Condensed Matter · Physics 2017-04-12 Matteo Taffetani , Dominic Vella

The dynamics of a thin low-density polyethylene sheet subject to periodic forcing due to B\'enard-K\`arm\`an vortices in a long narrow water channel is investigated here. In particular, the time-averaged sheet deflection and its oscillation…

Motivated to understand the behavior of biological filaments interacting with membranes of various types, we study a theoretical model for the shape and thermodynamics of intrinsically-helical filaments bound to curved membranes. We show…

Soft Condensed Matter · Physics 2016-11-03 D. A. Quint , A. Gopinathan , G. M. Grason

We study analytically the development of gravitational instability in an expanding shell having finite thickness. We consider three models for the radial density profile of the shell: (i) an analytic uniform-density model, (ii) a…

Astrophysics of Galaxies · Physics 2015-05-19 Richard Wunsch , James E. Dale , Jan Palous , Anthony P. Whitworth

We use Brownian dynamics simulations and advanced topological profiling methods to characterize the out-of-equilibrium evolution of self-entanglement in linear polymers confined into nano-channels and under periodic compression. We…

Soft Condensed Matter · Physics 2020-06-22 Davide Michieletto , Enzo Orlandini , Matthew S Turner , Cristian Micheletti

Flexible slender structures such as rods, ribbons, plates, and shells exhibit extreme nonlinear responses bending, twisting, buckling, wrinkling, and self contact, that defy conventional simulation frameworks. Discrete Differential Geometry…

We study the behavior of thin elastic sheets that are bent and strained under the influence of weak, smooth confinement. We show that the emerging shapes exhibit the coexistence of two types of domains that differ in their characteristic…

Soft Condensed Matter · Physics 2011-02-15 Robert D. Schroll , Eleni Katifori , Benny Davidovitch

In forced wetting, a rapidly moving surface drags with it a thin layer of trailing fluid as it is plunged into a second fluid bath. Using high-speed interferometry, we find characteristic structure in the thickness of this layer with…

Soft Condensed Matter · Physics 2019-01-16 Mengfei He , Sidney R. Nagel

We discuss shape profiles emerging in inhomogeneous growth of squeezed tissues. Two approaches are used simultaneously: i) conformal embedding of two-dimensional domain with hyperbolic metrics into the plane, and ii) a pure energetic…

Soft Condensed Matter · Physics 2015-11-25 Sergei Nechaev , Kirill Polovnikov

Polymeric particles are strong candidates for designing artificial materials capable of emulating the complex twisting-based functionality observed in biological systems. In this letter, we provide the first detailed investigation of the…

Soft Condensed Matter · Physics 2019-10-16 H. S. Ansell , D. S. Kim , R. D. Kamien , E. Katifori , T. Lopez-Leon

Motivated by the redrawing of hot glass into thin sheets, we investigate the shape and stability of a thin viscous sheet that is inhomogeneously stretched in an imposed non-uniform temperature field. We first determine the associated base…

Fluid Dynamics · Physics 2017-07-28 Siddarth Srinivasan , Zhiyan Wei , L. Mahadevan