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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

We explore the diffusion dynamics of a Brownian microparticle in a lyotropic chromonic liquid crystal (LCLC). In the planarly oriented nematic phase, the microparticle exhibits levitation and anisotropic two-dimensional diffusion. Upon…

Soft Condensed Matter · Physics 2025-07-15 Patrycja Kadzialka , Lech Sznitko , Pawel Karpinski

A paradigm for internally driven matter is the active nematic liquid crystal, whereby the equations of a conventional nematic are supplemented by a minimal active stress that violates time reversal symmetry. In practice, active fluids may…

Soft Condensed Matter · Physics 2015-12-15 E. J. Hemingway , A. Maitra , S. Banerjee , M. C. Marchetti , S. Ramaswamy , S. M. Fielding , M. E. Cates

The alignment of fibers and cells in living tissues affect their mechanical properties and functionality. In this context, one can draw an analogy between tissues and nematic liquid crystal elastomers. We explore this analogy by growing…

Soft Condensed Matter · Physics 2025-10-08 Kirsten Endresen , Aniruddh Murali , Birte Geerds , Daniel J. G. Pearce , Francesca Serra

Constitutive equations are derived for the time-dependent behavior of particle-reinforced elastomers at isothermal loading with finite strains. A rubbery polymer is modelled as a network of macromolecules bridged by junctions which can slip…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

Architected materials that exploit buckling instabilities to reversibly trap energy have been shown to be effective for impact protection. The energy-absorbing capabilities of these architected materials can be enhanced further by…

Soft Condensed Matter · Physics 2026-01-09 Beijun Shen , Yuefeng Jiang , Christopher M. Yakacki , Sung Hoon Kang , Thao D. Nguyen

A comprehensive approach for simulating lasing dynamics in a liquid crystal based laser is presented. The approach takes into account the transformation of the liquid crystal structure caused by applied voltage. In particular, it allows us…

Active materials are those in which individual, uncoordinated local stresses drive the material out of equilibrium on a global scale. Examples of such assemblies can be seen across scales from schools of fish to the cellular cytoskeleton…

Soft Condensed Matter · Physics 2022-09-30 Nitin Kumar , Rui Zhang , Steven A. Redford , Juan J. de Pablo , Margaret L. Gardel

For monodomain nematic elastomers, we construct generalised elastic-nematic constitutive models combining purely elastic and neoclassical-type strain-energy densities. Inspired by recent developments in stochastic elasticity, we extend…

Soft Condensed Matter · Physics 2020-03-17 L. Angela Mihai , Alain Goriely

A dielectric elastomer generator (DEG) can be used for converting mechanical energy from natural motion sources such as walking, waves, trees etc, into electrical energy. A DEG is comprised of a soft and flexible Dielectric Elastomer…

Instrumentation and Detectors · Physics 2016-11-09 Patrin Illenberger , Kentaro Takagi , Hiroki Kojima , Udaya Madawala , Iain Anderson

Liquid crystal elastomers (LCEs) are a stimuli-responsive material which has been intensively studied for applications including artificial muscles, shape morphing structures, and soft robotics, due to its capability of large, programmable,…

Applied Physics · Physics 2023-02-28 Victor Maurin , Yilong Chang , Qiji Ze , Sophie Leanza , Ruike Renee Zhao

We analyze the phase behavior of lyotropic nematic liquid crystals in the self-organizing flow, viz. so called active nematics (AN). Their elastic properties are mutually caused by evolution of topological defects (for instance,…

Soft Condensed Matter · Physics 2018-02-20 L. V. Elnikova

In this paper we investigate the dynamics of liquid crystal textures in a two-dimensional nematic under applied electric fields, using numerical simulations performed using a publicly available LIquid CRystal Algorithm (LICRA) developed by…

Soft Condensed Matter · Physics 2015-05-19 B. F. de Oliveira , P. P. Avelino , F. Moraes , J. C. R. E. Oliveira

Liquid Crystalline Elastomers (LCEs) are active materials that are of interest due to their programmable response to various external stimuli such as light and heat. When exposed to these stimuli, the anisotropy in the response of the…

Soft Condensed Matter · Physics 2023-10-24 Kevin LoGrande , M. Ravi Shankar , Kaushik Dayal

Highly engineered materials are arousing great interest because of their ability to manipulate heat, as described by coordinate transformation approach. Based on the recently developed analog gravity models, this paper presents how a simple…

Soft Condensed Matter · Physics 2016-09-07 S. Fumeron , E. Pereira , F. Moraes

The three-dimensional elastic-plastic deformation is considered. The catastrophe theory underlies the construction of this process model. It was shown that the variety of stable states consists on elastic states and can be depicted as a…

Materials Science · Physics 2007-05-23 L. N. Maurin , I. S. Tikhomirova

In this work, we develop an extended uniform potential (UP) model for a membrane nanopore by including two different charging mechanisms of the pore walls, namely by electronic charge and by chemical charge. These two charging mechanisms…

Chemical Physics · Physics 2019-12-25 L. Zhang , P. M. Biesheuvel , I. I. Ryzhkov

Electrically-controlled dynamics of fluids and particles at microscales is a fascinating area of research with applications ranging from microfluidics and sensing to sorting of biomolecules. The driving mechanisms are electric forces acting…

Soft Condensed Matter · Physics 2015-06-22 Israel Lazo , Chenhui Peng , Jie Xiang , Sergij V. Shiyanovskii , Oleg D. Lavrentovich

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

We introduce a new class of non-isothermal models describing the evolution of nematic liquid crystals and prove their consistency with the fundamental laws of classical Thermodynamics. The resulting system of equations captures all…

Analysis of PDEs · Mathematics 2015-05-27 E. Feireisl , M. Fre'mond , E. Rocca , G. Schimperna
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