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We present a theory for the elasticity of cross-linked stiff polymer networks. Stiff polymers, unlike their flexible counterparts, are highly anisotropic elastic objects. Similar to mechanical beams stiff polymers easily deform in bending,…

Soft Condensed Matter · Physics 2007-11-26 C. Heussinger , B. Schaefer , E. Frey

We consider three-dimensional reshaping of a thin nematoelastic film upon nematic-isotropic transition in the field of a charge one topological defect, leading to either cone or anticone (d-cone) shells. The analysis is based on the…

Soft Condensed Matter · Physics 2015-06-22 L. M. Pismen

We present in this paper a detailed analysis of the flexoelectric instability of a planar nematic layer in the presence of an alternating electric field (frequency $\omega$), which leads to stripe patterns (flexodomains) in the plane of the…

Soft Condensed Matter · Physics 2015-05-27 Alexei Krekhov , Werner Pesch , Agnes Buka

We develop a lattice model for the splay flexoelectric effect in nematic liquid crystals. In this model, each lattice site has a spin representing the local molecular orientation, and the interaction between neighboring spins represents…

Soft Condensed Matter · Physics 2011-11-04 Subas Dhakal , Jonathan V. Selinger

Helical ribbons arise in many biological and engineered systems, often driven by anisotropic surface stress, residual strain, and geometric or elastic mismatch between layers of a laminated composite. A full mathematical analysis is…

Mathematical Physics · Physics 2012-09-18 Zi Chen , Carmel Majidi , David J. Srolovitz , Mikko Haataja

Photoactive nematic elastomers are soft rubbery solids that undergo deformation when illuminated. They are made by incorporating photoactive molecules like azobenzene into nematic liquid crystal elastomers. Since its initial demonstration…

Soft Condensed Matter · Physics 2020-11-03 Ruobing Bai , Kaushik Bhattacharya

Strain-based theory on elastic instabilities is being widely employed for studying onset of plasticity, phase transition or melting in crystals. And size effects, observed in nano-materials or solids under dynamic loadings, needs to account…

Materials Science · Physics 2017-07-20 Kun Wang , Jun Chen , Wenjun Zhu , Meizhen Xiang

Photomechanical liquid crystal elastomers (LCEs) are responsive polymers that can convert light directly into mechanical deformation. This unique feature makes these materials an attractive candidate for soft actuators capable of remote and…

Soft Condensed Matter · Physics 2022-11-23 Ameneh Maghsoodi , Kaushik Bhattacharya

Using coarse-grained molecular dynamics simulations and a united-monomer model of PE, single well-aligned multi-lamella PE crystals grown in previous work [ACS Macro Letters 12, 808 (2023)] are deformed uniaxially to mimic tensile testing.…

Soft Condensed Matter · Physics 2024-09-16 William S. Fall , Jörg Baschnagel , Hendrik Meyer

Smectic liquid crystals are charcterized by layers that have a preferred uniform spacing and vanishing curvature in their ground state. Dislocations in the smectics play an important role in phase nucleation, layer reorientation, and…

Soft Condensed Matter · Physics 2017-06-28 Hillel Aharoni , Thomas Machon , Randall D. Kamien

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…

In this article, we construct and analyze models of anisotropic crosslinked polymers employing tools from the theory of liquid crystal elastomers. The anisotropy of these systems stems from the presence of rigid-rod molecular units in the…

Analysis of PDEs · Mathematics 2013-03-26 M. Carme Calderer , Carlos A. Garavito , Chong Luo

In twist-bend nematic (N\textsubscript{TB}) liquid crystals (LCs), the mean molecular orientation exhibits heliconical structure with nanoscale periodicity. On the mesoscopic scale, N\textsubscript{TB} resembles layered systems (like…

Soft Condensed Matter · Physics 2020-11-25 M. Praveen Kumar , P. Kula , Surajit Dhara

Achieving control and tunability of lyotropic materials has been a long-standing goal of liquid crystal research. Here we show that the elasticity of a liquid crystal system consisting of a dense suspension of semiflexible biopolymers can…

Soft Condensed Matter · Physics 2018-01-12 Rui Zhang , Nitin Kumar , Jennifer Ross , Margaret L. Gardel , Juan J. de Pablo

Flagellated microswimmers B. Subtilis dispersed in a nematic phase of a lyotropic chromonic liquid crystal form a living liquid crystal (LLC). The combination of the passive and active components allows us to analyze how the active…

Soft Condensed Matter · Physics 2025-12-02 Hend Baza , Fei Chen , Taras Turiv , Sergij V. Shiyanovskii , Oleg D. Lavrentovich

Phase separation of sequence-disordered liquid crystalline polymers, a promising class of technological and biological relevance, is studied by field theory, and thermodynamic mechanisms responsible for orientational ordering observed in…

Statistical Mechanics · Physics 2016-08-31 L. Gutman , E. I. Shakhnovich

Smectic orders on curved substrates can be described by differential forms of rank one (1-forms), whose geometric meaning is the differential of the local phase field of density modulation. The exterior derivative of 1-form is the local…

Soft Condensed Matter · Physics 2009-11-13 Xiangjun Xing

Natural bacterial habitats are often complex fluids with viscoelastic and anisotropic responses to stress; for example, they can take the form of liquid crystals (LCs), with elongated microscopic constituents that collectively align while…

Networks of elastic beams can deform either by stretching or bending of their members. The primary mode of deformation (bending or stretching) crucially depends on the specific details of the network architecture. In order to shed light on…

Soft Condensed Matter · Physics 2016-09-23 Gérald Gurtner , Marc Durand

Dielectric elastomers (DEs) that couple deformation and electrostatics have the potential for use in soft sensors and actuators with applications ranging from robotic, biomedical, energy, aerospace and automotive technologies. However,…

Soft Condensed Matter · Physics 2020-10-07 Matthew Grasinger , Kaushik Dayal