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This work is devoted so show the appearance of different cracking modes in linearly elastic thin film systems by means of an asymptotic analysis as the thickness tends to zero. By superposing two thin plates, and upon suitable scaling law…

Analysis of PDEs · Mathematics 2015-09-14 Jean-Francois Babadjian , Duvan Henao

We investigate how controlled foaming alters the mechanical dissipation of liquid crystalline elastomers (LCEs). Using thermal expandable microspheres, we generate homogeneous foams with precisely tuned bubble volume fractions up to 13% and…

Soft Condensed Matter · Physics 2026-02-23 Oliver Dai , Andrew Terentjev , Eugene M. Terentjev

A thermodynamically related model is developed for describing elastic rubber-like behavior of amorphous and crystallizing polymers and demonstrated on example of simple extension. Both the “entropic” and “energetic”…

Soft Condensed Matter · Physics 2007-05-23 Arkady I. Leonov

This paper is devoted to describe the deformations and the elastic energy for structures made of straight rods of thickness $2\delta$ when $\delta$ tends to 0. This analysis relies on the decomposition of the large deformation of a single…

Analysis of PDEs · Mathematics 2010-10-19 Dominique Blanchard , Georges Griso

We propose an approach to measure surface elastic constants of soft solids. Generally, this requires one to probe interfacial mechanics at around the elastocapillary length scale, which is typically microscopic. Deformations of microscopic…

Soft Condensed Matter · Physics 2022-03-02 Stefanie Heyden , Petia M. Vlahovska , Eric R. Dufresne

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…

The mechanical properties of a solid, which relate its deformation to external applied forces, are key factors in enabling or disabling the use of an otherwise optimal material in any application, strongly influencing also its service…

Materials Science · Physics 2025-08-28 Margherita Marsili , Elisa Damiani , Davide Dalle Ave , Gabriele Losi , M. Clelia Righi

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

Metric anomalies arising from a distribution of point defects (intrinsic interstitials, vacancies, point stacking faults), thermal deformation, biological growth, etc. are well known sources of material inhomogeneity and internal stress. By…

Materials Science · Physics 2016-03-18 Ayan Roychowdhury , Anurag Gupta

The Article demonstrates the spontaneous symmetry breaking of isotropic homogeneous elastic medium in form of transition from Euclidean to Riemann-Cartan internal geometry of medium. The deformation of elastic medium without defects is…

Materials Science · Physics 2013-12-25 V. Kobelev

In this paper we discuss the motion of a beam in interaction with fluids. We allow the beam to move freely in all coordinate directions. We consider the case of a beam situated in between two different fluids as well as the case where the…

Analysis of PDEs · Mathematics 2022-06-17 Malte Kampschulte , Sebastian Schwarzacher , Gianmarco Sperone

Despite the critical importance of the elastic properties of modern materials, there is not a singular model that can predict the modulus to an accuracy needed for industrial glass design. To address this problem, we propose an approach to…

Materials Science · Physics 2019-02-15 Collin J. Wilkinson , Qiuju Zheng , Liping Huang , John. C. Mauro

Azo-dye-doped liquid crystal elastomers (LCEs) are known to show a strong photomechanical response. We report on experiments that suggest that photothermal heating is the underlying mechanism in surface-constrained geometry. In particular,…

We present nonlinear dynamic equations for nematic and smectic $A$ liquid crystals in the presence of an alternating electric field and explain their derivation in detail. The local electric field acting in any liquid-crystalline system is…

Soft Condensed Matter · Physics 2023-06-30 E. S. Pikina , E. I. Kats , A. R. Muratov , V. V. Lebedev

We present a theoretical model and experimental demonstration of thin liquid film deformations due to a dielectric force distribution established by surface electrodes. We model the spatial electric field produced by a pair of parallel…

Soft Condensed Matter · Physics 2023-06-22 Israel Gabay , Federico Paratore , Evgeniy Boyko , Antonio Ramos , Amir D. Gat , Moran Bercovici

We derive a mathematical model of a nematic electrolyte based on a variational formulation of nematodynamics. Extending our previous work, we consider a general setup which incorporates dielectric anisotropy of the liquid-crystalline matrix…

Soft Condensed Matter · Physics 2016-07-20 O. M. Tovkach , M. Carme Calderer , Dmitry Golovaty , Oleg Lavrentovich , Noel J. Walkington

We first review the phenomenology of viscous liquids and the standard models used for explaining the non-Arrhenius average relaxation time. Then the focus is turned to the so-called elastic models, arguing that these models are all…

Soft Condensed Matter · Physics 2009-11-11 Jeppe C. Dyre

We consider a continuum model describing the dynamic behavior of nematic liquid crystal elastomers (LCEs) and implement a numerical scheme to solve the governing equations. In the model, the Helmholtz free energy and Rayleigh dissipation…

Materials Science · Physics 2015-05-19 Wei Zhu , Michael Shelley , Peter Palffy-Muhoray

The influence of controlable parameters like temperature and wavelength on the trajectories of light in a nematic liquid crystal with topological defects is studied through a geometric model. The model incorporates phenomenological details…

Soft Condensed Matter · Physics 2009-11-13 Caio satiro , Fernando Moraes

A fascinating feature of metallic glasses is their ability to explore different configurations under mechanical deformations. This effect is usually observed through macroscopic observables, while little is known on the consequence of the…

Disordered Systems and Neural Networks · Physics 2023-01-09 A. Cornet , G. Garbarino , F. Zontone , Y. Chushkin , J. Jacobs , E. Pineda , T. Deschamps , S. Li , A. Ronca , J. Shen , G. Morard , N. Neuber , M. Frey , R. Busch , I. Gallino , M. Mezouar , G. Vaughan , B. Ruta