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Nematic elastomers and glasses deform spontaneously when subjected to temperature changes. This property can be exploited in the design of heterogeneously patterned thin sheets that deform into a non-trivial shape when heated or cooled. In…

Soft Condensed Matter · Physics 2017-10-25 Paul Plucinsky , Marius Lemm , Kaushik Bhattacharya

We investigate the tight packing of nematic polymers inside a confining hard sphere. We model the polymer {\sl via} the continuum Frank elastic free energy augmented by a simple density dependent part as well as by taking proper care of the…

Soft Condensed Matter · Physics 2010-05-05 Daniel Svenšek , Gregor Veble , Rudolf Podgornik

Using molecular dynamics simulations we study the static and dynamic properties of spherical nanoparticles (NPs) embedded in a disordered and polydisperse polymer network. Purely repulsive (RNP) as well as weakly attractive (ANP) polymer-NP…

Soft Condensed Matter · Physics 2023-02-15 Valerio Sorichetti , Virginie Hugouvieux , Walter Kob

We report on a simulational study of the compression and buckling of elastic ridges formed by joining the boundary of a flat sheet to itself. Such ridges store energy anomalously: their resting energy scales as the linear size of the sheet…

Condensed Matter · Physics 2009-11-07 B. A. DiDonna , T. A. Witten

We derive the effective energy density of thin membranes of liquid crystal elastomers as the Gamma-limit of a widely used bulk model. These membranes can display fine-scale features both due to wrinkling that one expects in thin elastic…

Analysis of PDEs · Mathematics 2015-09-02 Pierluigi Cesana , Paul Plucinsky , Kaushik Bhattacharya

The folding pathway and rate coefficients of the folding of a knotted protein are calculated for a potential energy function with minimal energetic frustration. A kinetic transition network is constructed using the discrete path sampling…

Biomolecules · Quantitative Biology 2010-07-05 Michael C. Prentiss , David J. Wales , Peter G. Wolynes

In this paper, we study an elastic bilayer plate composed of a nematic liquid crystal elastomer in the top layer and a nonlinearly elastic material in the bottom layer. While the bottom layer is assumed to be stress-free in the flat…

Analysis of PDEs · Mathematics 2022-03-09 Sören Bartels , Max Griehl , Stefan Neukamm , David Padilla-Garza , Christian Palus

When a thin elastic sheet is confined to a region much smaller than its size the morphology of the resulting crumpled membrane is a network of straight ridges or folds that meet at sharp vertices. A virial theorem predicts the ratio of the…

Condensed Matter · Physics 2009-10-28 Alexander E. Lobkovsky , T. A. Witten

In this paper, the two-dimensional pure bending of a hyperelastic substrate coated by a nematic liquid crystal elastomer (abbreviated as NLCE) is studied within the framework of nonlinear elasticity. The governing system, arising from the…

Soft Condensed Matter · Physics 2021-06-16 Yang Liu , Wendi Ma , Hui-Hui Dai

This paper formally analyses effects of nematic weak elasticity using the five parametric de Gennes (DG) potential. The analysis is trivialized in a specific (local) Cartesian coordinate system whose one axis is directed along the initial…

Soft Condensed Matter · Physics 2007-05-23 A. I. Leonov , V. S. Volkov

The network formed by ridges in a straightened sheet of crumpled paper is studied using a laser profilometer. Square sheets of paper were crumpled into balls, unfolded and their height profile measured. From these profiles the imposed…

Soft Condensed Matter · Physics 2009-11-13 Christian Andre Andresen , Alex Hansen , Jean Schmittbuhl

In the network activation problem, each edge in a graph is associated with an activation function, that decides whether the edge is activated from node-weights assigned to its end-nodes. The feasible solutions of the problem are the…

Data Structures and Algorithms · Computer Science 2014-09-29 Takuro Fukunaga

A self-interacting polymer can undergo an orientational ordering transition, depending on the magnitude of the nematic interaction. The effect of embedding such a polymer into a flexible surface on this transition is studied on the…

Condensed Matter · Physics 2009-10-28 Rudolf Podgornik

The crumpling of a thin sheet can be understood as the condensation of elastic energy into a network of ridges which meet in vertices. Elastic energy condensation should occur in response to compressive strain in elastic objects of any…

Mathematical Physics · Physics 2009-11-07 B. A. DiDonna , S. C. Venkataramani , T. A. Witten , E. M. Kramer

Wrinkles commonly develop in a thin film deposited on a soft elastomer substrate when the film is subject to compression. Motivated by recent experiments [Agrawal et al., Soft Matter 8, 7138 (2012)] that show how wrinkle morphology can be…

Soft Condensed Matter · Physics 2016-07-06 Harsh Soni , Robert A. Pelcovits , Thomas R. Powers

Entangled networks of stiff biopolymers exhibit complex dynamic response, emerging from the topological constraints that neighboring filaments impose upon each other. We propose a class of reference models for entanglement dynamics of stiff…

Soft Condensed Matter · Physics 2008-06-23 Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

The wetting behavior of a liquid on solid substrates is governed by the nature of the effective interaction between the liquid-gas and the solid-liquid interfaces, which is described by the binding or wetting potential $g(h)$ which is an…

Soft Condensed Matter · Physics 2017-07-13 Oleg Buller , Walter Tewes , Andrew J. Archer , Andreas Heuer , Uwe Thiele , Svetlana V. Gurevich

Nematic elastomers are rubbery solids which have liquid crystals incorporated into their polymer chains. These materials display many unusual mechanical properties, one such being the ability to form fine-scale microstructure. In this work,…

Soft Condensed Matter · Physics 2017-04-05 Paul Plucinsky , Kaushik Bhattacharya

Because inorganic solid electrolytes are one of the key components for application to all-solid-state batteries, high-ionic-conductivity materials must be developed. Therefore, we propose a method of efficiently evaluating the activation…

Materials Science · Physics 2021-04-19 Koki Ueno , Kazuhide Ichikawa , Kosei Sato , Daisuke Sugita , Satoshi Yotsuhashi , Ichiro Takeuchi

We present the first calculations of the pressure tensor profile in the vicinity of the planar interface between isotropic liquid and nematic liquid crystal, using Onsager's density functional theory and computer simulation. When the liquid…

Materials Science · Physics 2009-10-31 A. J. McDonald , M. P. Allen , F. Schmid