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We study the homogenisation of geometrically nonlinear elastic composites with high contrast. The composites we analyse consist of a perforated matrix material, which we call the "stiff" material, and a "soft" material that fills the pores.…

偏微分方程分析 · 数学 2017-03-02 Mikhail Cherdantsev , Kirill Cherednichenko , Stefan Neukamm

In this work we study the homogenization for infinitesimal dislocation based gradient viscoplasticity with linear kinematic hardening and general non-associative monotone plastic flows. The constitutive equations in the models we study are…

偏微分方程分析 · 数学 2016-10-11 Sergiy Nesenenko

We derive the reciprocal cluster mean-field method to study the strongly-interacting bosonic Harper-Hofstadter-Mott model. The system exhibits a rich phase diagram featuring band insulating, striped superfluid, and supersolid phases.…

量子气体 · 物理学 2017-08-24 Dario Hügel , Hugo U. R. Strand , Philipp Werner , Lode Pollet

In this work we establish the well-posedness for infinitesimal dislocation based gradient viscoplasticity with isotropic hardening for general gradient monotone plastic flows. We assume an additive split of the displacement gradient into…

偏微分方程分析 · 数学 2014-11-06 Nataliya Kraynyukova , Patrizio Neff , Sergiy Nesenenko , Krzysztof Chełmiński

We determine the effective behavior of a class of composites in finite-strain crystal plasticity, based on a variational model for materials made of fine parallel layers of two types. While one component is completely rigid in the sense…

偏微分方程分析 · 数学 2016-04-13 Fabian Christowiak , Carolin Kreisbeck

In this paper we determine, in dimension three, the effective conductivities of non periodic high-contrast two-phase cylindrical composites, placed in a constant magnetic field, without any assumption on the geometry of their cross…

偏微分方程分析 · 数学 2013-07-02 Mohamed Camar-Eddine , Laurent Pater

This paper presents a combined numerical-theoretical study of the macroscopic behavior and local field distributions in a special class of two-dimensional periodic composites with viscoplastic phases. The emphasis is on strongly nonlinear…

We investigate the vortex flow anisotropy in the mixed state of nematic superconductors, focusing on the effects of nematic-superconducting coupling on vortex dynamics. Using numerical simulations within a time-dependent Ginzburg-Landau…

In the context of elasticity theory, rigidity theorems allow to derive global properties of a deformation from local ones. This paper presents a new asymptotic version of rigidity, applicable to elastic bodies with sufficiently stiff…

偏微分方程分析 · 数学 2019-09-04 Fabian Christowiak , Carolin Kreisbeck

This paper introduces a model for the mechanical response of anisotropic soft materials undergoing large inelastic deformations. The composite is constituted by a soft isotropic matrix reinforced with stiff fibres, that can evolve…

软凝聚态物质 · 物理学 2022-07-25 Jacopo Ciambella , Paola Nardinocchi

In this paper, we study the linear stability properties of perturbations around the homogeneous Couette flow for a 2D isentropic compressible fluid in the domain $\mathbb{T}\times \mathbb{R}$. In the inviscid case there is a generic…

偏微分方程分析 · 数学 2021-08-24 Paolo Antonelli , Michele Dolce , Pierangelo Marcati

Our research is directed to a quasi-static evolution of the thermo-visco-elastic model. We assume that the material is subject to two kinds of mechanical deformations: elastic and inelastic. Moreover, our analysis captures the influence of…

偏微分方程分析 · 数学 2014-04-08 Piotr Gwiazda , Filip Z. Klawe , Agnieszka Świerczewska-Gwiazda

The primary goal of this paper is to develop robust methods to handle two ubiquitous features appearing in the modeling of geophysical flows: (i) the anisotropy of the viscous stress tensor, (ii) stratification effects. We focus on the…

偏微分方程分析 · 数学 2020-11-05 Edoardo Bocchi , Francesco Fanelli , Christophe Prange

The effective stress tensor of a homogeneous turbulent rotating fluid is anisotropic. This leads us to consider the most general axisymmetric four-rank ``viscosity tensor'' for a Newtonian fluid and the new terms in the turbulent effective…

混沌动力学 · 物理学 2008-11-26 J. Gaite

The aim of this paper is to prove the existence of weak solution for a quasi-static evolution of thermo-visco-elastic model with Norton-Hoff law of plasticity. The dependence on temperature occurs both in the elastic constitutive equations…

偏微分方程分析 · 数学 2021-09-30 Sebastian Owczarek

Polymers are a primary building block in many biomaterials, often interacting with anisotropic backgrounds. While previous studies have considered polymer dynamics within nematic solvents, rarely are the the effects of anisotropic viscosity…

The stretching and pinch-off of a liquid bridge is a simple way to probe when a suspension of particles stops behaving as a continuum. In this study, we consider density-matched suspensions of rigid nylon fibers with aspect ratios (length…

软凝聚态物质 · 物理学 2026-04-15 Virgile Thiévenaz , Nathan Vani , Alban Sauret

Vortex-antivortex arrays that are created in a type-II superconducting film by lattices of ferromagnetic dots with perpendicular anisotropy have been investigated. The highest critical current is shifted to a nonzero value of the applied…

超导电性 · 物理学 2009-11-11 M. Lange , M. J. Van Bael , A. V. Silhanek , V. V. Moshchalkov

Highly oriented polymer films can show considerable anisotropy in the thermoelectric properties leading to power factors beyond those predicted by the widely obeyed power law linking the thermopower $S$ and the electrical conductivity…

Alternating-sign Hopf plumbing along a tree yields fibered alternating links whose homological monodromy is, up to a sign, conjugate to some alternating-sign Coxeter transformation. Exploiting this tie, we obtain results about the location…

几何拓扑 · 数学 2020-03-27 Eriko Hironaka , Livio Liechti
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