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This article analyzes modulated phases in liquid crystals, from the long-established cholesteric and blue phases to the recently discovered twist-bend, splay-bend, and splay nematic phases, as well as the twist-grain-boundary (TGB) and…

Soft Condensed Matter · Physics 2025-07-08 Jonathan V. Selinger

A micrometer-scale elastic shell immersed in a nematic liquid crystal may be deformed by the host if the cost of deformation is comparable to the cost of elastic deformation of the nematic. Moreover, such inclusions interact and form chains…

Soft Condensed Matter · Physics 2018-03-07 Andrew DeBenedictis , Andrea L. Rodarte , Linda S. Hirst , Timothy J. Atherton

We study spreading dynamics of nematic liquid crystal droplets within the framework of the long-wave approximation. A fourth order nonlinear parabolic partial differential equation governing the free surface evolution is derived. The…

Fluid Dynamics · Physics 2013-07-19 Te-Sheng Lin , Lou Kondic , Uwe Thiele , Linda J. Cummings

We generalize the shape optimization problem for the existence of stable equilibrium configurations of nematic and cholesteric liquid crystal drops surrounded by an isotropic solution to include a broader family of admissible domains with…

Analysis of PDEs · Mathematics 2024-08-29 Alessandro Giacomini , Silvia Paparini

Elastomers filled with liquid inclusions -- as opposed to conventional solid fillers -- are a recent trend in the soft matter community because of their unique range of mechanical and physical properties. Such properties stem, in part, from…

Ordinary nematic liquid crystals are characterized by having a uniform director field as ground state. In such a state, the director is the same everywhere and no distortion is to be seen at all. We give a definition of uniform distortion…

Soft Condensed Matter · Physics 2019-11-20 Epifanio G. Virga

We analyze stability of the planar orientational structure in a nematic liquid crystal (NLC) cell with planar anchoring conditions at both substrates. Specifically, we study the instabilities of the ground state caused by surface elasticity…

Soft Condensed Matter · Physics 2009-11-10 A. D. Kiselev

A propagating "beam" triggering a local phase transition in a nematic elastomer sets it into a crawling motion, which may morph due to buckling. We consider the motion of the various configurations of slender rods and thin stripes with both…

Biological Physics · Physics 2016-03-23 A. P. Zakharov , L. M. Pismen

The local deformation of two-dimensional Lennard-Jones glasses under imposed shear strain is studied via computer simulations. Both the mean squared displacement and mean squared strain rise linearly with the length of the strain interval…

Soft Condensed Matter · Physics 2009-11-13 Craig E. Maloney , Mark O. Robbins

We perform linear stability analysis and nonlinear slender filament simulations of extensional necking in complex fluids and soft solids, during the stress relaxation process following an interrupted strain ramp. We start by deriving…

Soft Condensed Matter · Physics 2017-07-11 David M. Hoyle , Suzanne M. Fielding

Entangled polymers are deformed by a strong shear flow. The shape of the polymer, called the form factor, is measured by small angle neutron scattering. However, the real-space molecular structure is not directly available from the…

We propose an extension of Frank-Oseen's elastic energy for bulk nematic liquid crystals which is based on the hypothesis that the fundamental deformations allowed in nematic liquid crystals are splay, twist and bend. The extended elastic…

Soft Condensed Matter · Physics 2018-04-30 G. Barbero , I. Lelidis

Partially wetting nematic liquid crystal (NLC) films on substrates are unstable to dewetting-type instabilities due to destablizing solid/NLC interaction forces. These instabilities are modified by the nematic nature of the films, which…

Soft Condensed Matter · Physics 2021-01-05 M. Lam , L. Kondic , L. Cummings

When liquid-crystal elastomers are prepared without any alignment, disordered polydomain structures emerge as the materials are cooled into the nematic phase. These polydomain structures have been attributed to quenched disorder in the…

Soft Condensed Matter · Physics 2015-11-04 Ayhan Duzgun , Jonathan V. Selinger

Linear defects such as dislocations and disclinations in ordered materials attract foreign particles since they replace strong elastic distortions at the defect cores. In this work, we explore the behavior of isotropic droplets nucleating…

A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, because each…

Soft Condensed Matter · Physics 2020-12-08 Yipin Su , Ray W. Ogden , Michel Destrade

The mechanisms of void growth and coalescence are key contributors to the ductile failure of crystalline materials. At the grain scale, single crystal plastic anisotropy induces large strain localization leading to complex shape evolutions.…

Materials Science · Physics 2025-10-20 Jalal Smiri , Joseph Paux , Oguz Umut Salman , Ioan R. Ionescu

Toroidal nematics are droplets of nematic liquid crystals in the form of a circular torus. When the nematic director is subject to planar degenerate boundary conditions, the bend-only director field with vector lines along the parallels of…

Soft Condensed Matter · Physics 2018-10-29 Andrea Pedrini , Marco Piastra , Epifanio G. Virga

In amorphous materials, plasticity is localized and occurs as shear transformations. It was recently shown by Wu et al. that these shear transformations can be predicted by applying topological defect concepts developed for liquid crystals…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Paul Desmarchelier , Spencer Fajardo , Michael L. Falk

Compression-induced buckling instability of metal thin films on a compliant base result in surface wrinkles. A stiff thin film, perfectly bonded to an infinitely deep pre-stretched dielectric elastomer (DE) substrate, is considered. Linear…

Computational Physics · Physics 2021-08-24 Abhishek Ghosh
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