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The common description of the electrical behavior of a nematic liquid crystal as an anisotropic dielectric medium with (weak) ohmic conductivity is extended to an electrodiffusion model with two active ionic species. Under appropriate, but…

patt-sol · Physics 2008-02-03 Martin Treiber , Lorenz Kramer

This paper presents an electromechanical analysis of the nonlinear static response and the superimposed small-amplitude wave characteristics in an infinite periodic compressible dielectric elastomer (DE) laminate subjected to electrostatic…

Soft Condensed Matter · Physics 2021-07-26 Yingjie Chen , Bin Wu , Yipin Su , Weiqiu Chen

Functionalized thin elastic films and membranes frequently feature internal sites of net forces or stresses. These are, for instance, active sites of actuation, or rigid inclusions in a strained membrane that induce counterstress upon…

Soft Condensed Matter · Physics 2024-09-02 Tyler Lutz , Andreas M. Menzel , Abdallah Daddi-Moussa-Ider

Dense rubbery networks are highly entangled polymer systems, with significant topological restrictions for the mobility of neighbouring chains and crosslinks preventing the reptation constraint release. In a mean field approach,…

Soft Condensed Matter · Physics 2009-11-07 S. Kutter , E. M. Terentjev

Lipid membranes are abundant in living organisms, where they constitute a surrounding shell for cells and their organelles. There are many circumstances in which the deformations of lipid membranes are involved in living cells: fusion and…

Soft Condensed Matter · Physics 2022-11-17 Konstantin V. Pinigin

Understanding and harnessing the coupling between lubrication pressure and elasticity provides materials design strategies for applications such as adhesives, coatings, microsensors, and biomaterials. Elastic deformation of compliant solids…

Soft Condensed Matter · Physics 2018-10-01 Yumo Wang , Georgia Pilkington , Charles Dhong , Joelle Frechette

Advances in high-precision dielectric spectroscopy has enabled access to non-linear susceptibilities of polar molecular liquids. The observed non-monotonic behavior has been claimed to provide strong support for theories of dynamic arrest…

Soft Condensed Matter · Physics 2021-07-07 Thomas Speck

Anisotropic homogeneous metamaterials that are neither wholly dissipative nor wholly active at a specific frequency are permitted by classical electromagnetic theory. Well-established homogenization formalisms indicate that such a…

Optics · Physics 2015-12-22 Tom G. Mackay , Akhlesh Lakhtakia

A finite-deformation crystal-elasticity membrane model for Transition Metal Dichalcogenide (TMD) monolayers is presented. Monolayer TMDs are multi-atom-thick two-dimensional (2D) crystalline membranes having atoms arranged in three parallel…

Materials Science · Physics 2022-09-14 Upendra Yadav , Susanta Ghosh

We study the lubrication of fluid-immersed soft interfaces and show that elastic deformation couples tangential and normal forces and thus generates lift. We consider materials that deform easily, due to either geometry (e.g. a shell) or…

Soft Condensed Matter · Physics 2009-11-10 J. M. Skotheim , L. Mahadevan

Utilising Onsager's variational formulation, we derive dynamical equations for the relaxation of a fluid membrane tube in the limit of small deformation, allowing for a contrast of solvent viscosity across the membrane and variations in…

Soft Condensed Matter · Physics 2022-08-30 Sami C. Al-Izzi , Pierre Sens , Matthew S. Turner , Shigeyuki Komura

Liquid crystal elastomers are cross-linked polymer networks covalently bonded with liquid crystal mesogens. In the nematic phase, due to strong coupling between mechanical strain and orientational order, these materials display…

Soft Condensed Matter · Physics 2011-11-04 Badel L. Mbanga , Fangfu Ye , Jonathan V. Selinger , Robin L. B. Selinger

We develop a nonlinear model for electroosmotic transport in a constricted microchannel with a compliant lower wall, with applications to soft microfluidics, bio-inspired sensing, and energy harvesting. The formulation couples…

Fluid Dynamics · Physics 2026-04-30 Subhajyoti Sahoo , Ameeya Kumar Nayak

The modelling of heterogeneous and architected materials poses a significant challenge, demanding advanced homogenisation techniques. However, the complexity of this task can be considerably simplified through the application of micropolar…

Soft Condensed Matter · Physics 2024-02-27 Adrianos E. F. Athanasiadis , Michal K. Budzik , Dilum Fernando , Marcelo A. Dias

Dielectric metasurfaces are two-dimensional structures composed of nano-scatterers that manipulate phase and polarization of optical waves with subwavelength spatial resolution, enabling ultra-thin components for free-space optics. While…

Optics · Physics 2017-01-26 Seyedeh Mahsa Kamali , Ehsan Arbabi , Amir Arbabi , Yu Horie , Andrei Faraon

The effective macroscopic response of nonlinear elastomeric inhomogeneous materials is of great interest in many applications including nonlinear composite materials and soft biological tissues. The interest of the present work is…

Mathematical Physics · Physics 2015-06-11 Riccardo De Pascalis , I. David Abrahams , William J. Parnell

The deformation problem for a transversely isotropic elastic layer bonded to a rigid substrate and coated with a very thin elastic layer made of another transversely isotropic material is considered. The leading-order asymptotic models (for…

Analysis of PDEs · Mathematics 2015-04-28 Ivan Argatov , Gennady Mishuris

The present work attempts to present a consistent and efficient approach to piezoelectric laminated beams. The influence of hypotheses on three-dimensional sectional deformations and stress distributions on the estimate of the beam…

Mathematical Physics · Physics 2010-09-28 C. Maurini , F. dell'Isola , J. Pouget

This paper concerns the rigorous periodic homogenization for a weakly coupled electroelastic system of a nonlinear electrostatic equation with an elastic equation enriched with electrostriction. Such coupling is employed to describe…

Analysis of PDEs · Mathematics 2023-08-01 Thuyen Dang , Yuliya Gorb , Silvia Jimenez Bolanos

The dielectric response and structural properties of finite-temperature electron liquids are central to accurately describing the physical behavior of electronic systems. This study presents a robust analytical model for the static…

Plasma Physics · Physics 2026-03-19 Chengliang Lin , Yong Hou , Jianmin Yuan , Yong Wu , Jianguo Wang