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This paper presents the derivation of the homogenized equations that describe the macroscopic mechanical response of elastomers filled with liquid inclusions in the setting of small quasistatic deformations. The derivation is carried out…

Soft Condensed Matter · Physics 2023-01-26 Kamalendu Ghosh , Victor Lefevre , Oscar Lopez-Pamies

We model polydomain liquid-crystal elastomers by extending the neo-classical soft and semi-soft free energies used successfully to describe monodomain samples. We show that there is a significant difference between polydomains cross-linked…

Soft Condensed Matter · Physics 2014-07-09 J. S. Biggins , M. Warner , K. Bhattacharya

We consider the impact of the elastomer network on the structure and fluctuations in the isotropic-genesis nematic elastomer, via a phenomenological model that underscores the role of network compliance. The model contains a…

Soft Condensed Matter · Physics 2015-06-04 Bing-Sui Lu , Fangfu Ye , Xiangjun Xing , Paul M. Goldbart

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

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

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

We consider planar liquid crystal elastomers: two dimensional objects made of anisotropic responsive materials, that upon activation remain flat however change their planar shape. We derive a closed form, analytical solution based on the…

Soft Condensed Matter · Physics 2023-05-02 Daniel Castro , Hillel Aharoni

A lattice of elastic rods organized in a parallelepiped geometry can be axially loaded up to an arbitrary amount without distortion and then be subject to incremental displacements. Using quasi-static homogenization theory, this lattice can…

Classical Physics · Physics 2020-01-08 G. Bordiga , L. Cabras , A. Piccolroaz , D. Bigoni

We investigate the emergence of isotropic linear elasticity in amorphous and polycrystalline solids, via extensive numerical simulations. We show that the elastic properties are correlated over a finite length scale $\xi_E$, so that the…

Soft Condensed Matter · Physics 2021-05-19 Shivam Mahajan , Joyjit Chattoraj , Massimo Pica Ciamarra

Liquid Crystal Elastomers (LCEs) are an exciting category of material that has tremendous application potential across a variety of fields, owing to their unique properties that enable both sensing and actuation. To some, LCEs are simply…

Soft Condensed Matter · Physics 2022-10-28 Mathew Schwartz , Jan P. F. Lagerwall

This work studies the constitutive response of two- and three-dimensional lattice materials subject to isotropic prestress. The unit cell of the examined lattices is formed by an arbitrary number of junctions attached to a junction.…

Classical Physics · Physics 2019-12-30 Ada Amendola , Fernando Fraternali

Experimental and modeling/simulation studies of phase equilibrium and growth morphologies of novel polymer-dispersed liquid crystal (PDLC) mixtures of PS (polystyrene) and liquid crystals that exhibit a direct isotropic/smectic-A (lamellar)…

Soft Condensed Matter · Physics 2015-05-13 Ezequiel R. Soule , Nasser Mohieddin Abukhdeir , Alejandro D. Rey

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

Constitutive equations are derived for the viscoelastoplastic response of amorphous glassy polymers at isothermal loading with small strains. A polymer is treated as an ensemble of cooperatively relaxing regions (CRR) which rearrange at…

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

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

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

We propose that ballooning can be controlled, enriched and amplified by using rubbery networks of aligned molecular rods known as liquid crystal elastomers (LCEs). Firstly, LCEs are promising artificial muscles, showing large spontaneous…

Soft Condensed Matter · Physics 2021-02-03 Andrea Giudici , John S. Biggins

The quasistatic behavior of a simple 2D model of a cohesive powder under isotropic loads is investigated by Discrete Element simulations. The loose packing states, as studied in a previous paper, undergo important structural changes under…

Materials Science · Physics 2008-10-27 Francisco Gilabert , Jean-Noël Roux , Antonio Castellanos

Mesogens, which are typically stiff rodlike or disklike molecules, are able to self-organize into liquid crystal (LC) phases in a certain temperature range. Such mesogens, or LC groups, can be attached to polymer chains in various…

Soft Condensed Matter · Physics 2023-06-21 Diego Becerra , Pranav R. Jois , Lisa M. Hall

Investigating thermodynamic properties of liquid-solid transitions of flexible homopolymers with elastic bonds by means of multicanonical Monte Carlo simulations, we find crystalline conformations that resemble ground-state structures of…

Soft Condensed Matter · Physics 2010-02-11 Stefan Schnabel , Thomas Vogel , Michael Bachmann , Wolfhard Janke