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A thin circular elastic sheet floating on a drop-like liquid substrate is deformed due to incompatibility between the curved substrate and the planar sheet. We adopt a variational viewpoint by minimizing the non-convex membrane energy…

Analysis of PDEs · Mathematics 2026-02-19 Peter Bella , Carlos Román

Polydomain liquid crystalline (nematic) elastomers have highly unusual mechanical properties, dominated by the dramatically non-linear stress-strain response that reflects stress-induced evolution of domain patterns. Here, we study the…

Soft Condensed Matter · Physics 2023-05-02 Ameneh Maghsoodi , Mohand O. Saed , Eugene M. Terentjev , Kaushik Bhattacharya

The deformation of an elastic micro-capsule in an infinite shear flow is studied numerically using a spectral method. The shape of the capsule and the hydrodynamic flow field are expanded into smooth basis functions. Analytic expressions…

Soft Condensed Matter · Physics 2008-09-03 S. Kessler , R. Finken , U. Seifert

We use linear stability analysis to show that an isotropic phase of elongated particles with dipolar flow fields can develop nematic order as a result of their activity. We argue that ordering is favoured if the particles are flow-aligning…

Soft Condensed Matter · Physics 2020-03-18 Sreejith Santhosh , Mehrana R. Nejad , Amin Doostmohammadi , Julia M. Yeomans , Sumesh P. Thampi

Toroidal nematics are nematic liquid crystals confined within a circular torus and subject to planar degenerate anchoring on the boundary of the torus. They may be droplets floating in an isotropic environment or cavities carved out of a…

Soft Condensed Matter · Physics 2018-04-12 Andrea Pedrini , Epifanio G. Virga

The ground state of twist-bend nematic liquid crystals is a heliconical molecular arrangement in which the nematic director precesses uniformly about an axis, making a fixed angle with it. Both precession senses are allowed in the ground…

Soft Condensed Matter · Physics 2014-04-15 Epifanio G. Virga

We study the elasto-plastic behaviour of materials made of individual (discrete) objects, such as a liquid foam made of bubbles. The evolution of positions and mutual arrangements of individual objects is taken into account through…

Soft Condensed Matter · Physics 2015-05-18 Christophe Raufaste , Simon Cox , Philippe Marmottant , François Graner

We study the monodomain (single-crystal) nematic elastomer materials, all side-chain siloxane polymers with the same mesogenic groups and crosslinking density, but differing in the type of crosslinking. Increasing the proportion of long…

Soft Condensed Matter · Physics 2009-11-07 A. R. Tajbakhsh , E. M. Terentjev

Polymers in nonuniform flows undergo strong deformation, which in the presence of persistent stretching can result in the coil-stretch transition. This phenomenon has been characterized by using the formalism of nonequilibrium statistical…

Soft Condensed Matter · Physics 2023-05-24 Stefano Musacchio , Victor Steinberg , Dario Vincenzi

Metals deformed at high strain rates can exhibit failure through formation of shear bands, a phenomenon often attributed to Hadamard instability and localization of the strain into an emerging coherent structure. We verify formation of…

Analysis of PDEs · Mathematics 2016-11-03 Theodoros Katsaounis , Min-Gi Lee , Athanasios Tzavaras

We propose a microscopic picture for understanding the nonlinear rheology of supercooled liquids with soft-repulsive potentials. Based on Brownian dynamics simulations of supercooled charge-stabilized colloidal suspensions, our analysis…

Soft Condensed Matter · Physics 2022-10-19 Dejia Kong , Wei-Ren Chen , Ke-Qi Zeng , Lionel Porcar , Zhe Wang

We study the instability to necking of an initially cylindrical filament of soft glassy material subject to extensional stretching. By numerical simulation of the soft glassy rheology model and a simplified fluidity model, and by analytical…

Soft Condensed Matter · Physics 2015-04-30 D. M. Hoyle , S. M. Fielding

Monodisperse suspensions of Brownian colloidal spheres crystallize at high densities, and ordering under shear has been observed at densities below the crystallization threshold. We perform large-scale simulations of a model suspension…

Soft Condensed Matter · Physics 2022-12-02 Abhay Goyal , Emanuela Del Gado , Scott Z Jones , Nicos S Martys

Increase in viscosity under increasing shear stress, known as shear thickening (ST), is one of the most striking properties of dense particulate suspensions. Under appropriate conditions, they exhibit discontinuous shear thickening (DST),…

Soft Condensed Matter · Physics 2023-10-06 Sachidananda Barik , Akhil Mohanan , Sayantan Majumdar

Cholesteric liquid crystals (CLCs) have a characteristic length scale given by the pitch of the twisted stacking of their constituent rod-like molecules. Under homeotropic anchoring conditions where the molecules prefer to orient…

Soft Condensed Matter · Physics 2020-05-13 Maxim O. Lavrentovich , Lisa Tran

Both uniaxial and biaxial nematic liquid crystals are defined by orientational ordering of their building blocks. While uniaxial nematics only orient the long molecular axis, biaxial order implies local order along three axes. As the…

Soft Condensed Matter · Physics 2015-06-15 Simon Čopar , Mark R. Dennis , Randall D. Kamien , Slobodan Žumer

The onset of nonlinear effects in metals, such as plasticity and damage, is strongly influenced by the heterogeneous stress distribution at the grain level. This work is devoted to studying the local stress distribution of shear stresses…

Materials Science · Physics 2022-07-26 Flavia Gehrig , Daniel Wicht , Maximilian Krause , Thomas Böhlke

We introduce a nonlinear, one-dimensional bending-twisting model for an inextensible bi-rod that is composed of a nematic liquid crystal elastomer. The model combines an elastic energy that is quadratic in curvature and torsion with a…

Analysis of PDEs · Mathematics 2022-05-31 Sören Bartels , Max Griehl , Jakob Keck , Stefan Neukamm

There is a recent interest in studying odd elasticity in soft solids. Current focus has been on simple solids. However, many soft solids are structured and can exhibit nematic elasticity or viscoelasticity. Here we generalize the concept of…

Soft Condensed Matter · Physics 2026-03-19 Zeyang Mou , Haijie Ren , Ding Xu , Igor S. Aranson , Rui Zhang

Nematic drops suspended in the isotropic phase of the same substance were subjected to alternating electrical fields of varying frequency. The system was carefully kept in the isotropic-nematic coexistance region, which was broadened due to…

Soft Condensed Matter · Physics 2009-03-27 Günter K. Auernhammer , Jinyu Zhao , Beate Ullrich , Doris Vollmer