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For homogeneous higher gradient elasticity models we discuss frame-indifference and isotropy requirements. To this end, we introduce the notions of local versus global SO(3)-invariance and identify frame-indifference (traditionally) with…

偏微分方程分析 · 数学 2016-08-08 Ingo Münch , Patrizio Neff

We explore some general consequences of a proper, full enforcement of the "twisted Poincare'" covariance of Chaichian et al. [14], Wess [50], Koch et al. [34], Oeckl [41] upon many-particle quantum mechanics and field quantization on a…

高能物理 - 理论 · 物理学 2008-11-26 Gaetano Fiore , Julius Wess

This article offers a reappraisal of Fung's method for quasilinear viscoelasticity. It is shown that a number of negative features exhibited in other works, commonly attributed to the Fung approach, are merely a consequence of the way it…

经典物理 · 物理学 2015-06-18 Riccardo De Pascalis , I. David Abrahams , William J. Parnell

Many thixo-viscoelastic materials have been reported to undergo enhancement in elastic modulus with time and decrease in the same under application of deformation field. Incorporation of this feature in a viscoelastic structural kinetic…

软凝聚态物质 · 物理学 2021-12-16 Yogesh M Joshi

This work presents a general finite element formulation based on a six--field variational principle that incorporates the consistent couple stress theory. A simple, efficient and local iteration free solving procedure that covers both…

数值分析 · 数学 2022-07-07 Theodore L. Chang , Chin-Long Lee

We consider a nonlinear, frame indifferent Griffith model for nonsimple brittle materials where the elastic energy also depends on the second gradient of the deformations. In the framework of free discontinuity and gradient discontinuity…

偏微分方程分析 · 数学 2019-09-25 Manuel Friedrich

We derive an expression of the core traction contribution to the dislocation elastic energy within linear anisotropic elasticity theory using the sextic formalism. With this contribution, the elastic energy is a state variable consistent…

材料科学 · 物理学 2009-06-30 Emmanuel Clouet

In this paper we study some classes of second order non-homogeneous nonlinear differential equations allowing a specific representation for nonlinear Green's function. In particular, we show that if the nonlinear term possesses a special…

数学物理 · 物理学 2019-05-20 Marco Frasca , Asatur Khurshudyan

The ubiquitous appearance of regions of localized deformation (shear bands) in different kinds of disordered materials under shear is studied in the context of a mesoscopic model of plasticity. The model may or may not include relaxational…

软凝聚态物质 · 物理学 2015-05-19 E. A. Jagla

We review recent computational results for hexagon patterns in non-Boussinesq convection. For sufficiently strong dependence of the fluid parameters on the temperature we find reentrance of steady hexagons, i.e. while near onset the hexagon…

斑图形成与孤子 · 物理学 2009-11-13 Santiago Madruga , Hermann Riecke

We derive the evolution equation for the second order curvature perturbation using standard techniques of cosmological perturbation theory. We do this for different definitions of the gauge invariant curvature perturbation, arising from…

宇宙学与河外天体物理 · 物理学 2016-02-09 Pedro Carrilho , Karim A. Malik

The effect of extreme hyperviscous damping, $\nu k_n^p, p=\infty$ is studied numerically in the GOY shell model of turbulence. It has resently been demonstrated [Leveque and She, Phys. Rev. Lett, 75,2690 (1995)] that the inertial range…

chao-dyn · 物理学 2009-10-31 P. D. Ditlevsen

Materials driven far from equilibrium can encode memories of past deformations through long-lived structural reorganisations. Such memory effects-reflecting parameters such as deformation direction, magnitude, and duration have been widely…

软凝聚态物质 · 物理学 2025-12-16 Abhishek Ghadai , Sayantan Majumdar

We consider the two-fermion $F_a F_b$ productions and decays via one mediator exchange at the $e^+e^-$ collider. With the assumption that the spin is defined via the Lorentz symmetry, or considering the implicit symmetry in the spin density…

高能物理 - 唯象学 · 物理学 2026-05-14 Dianwei Wang , Xiqing Hao , Liwei Liu , Lina Wu , Tianjun Li

Dense non-Brownian suspensions including both the hydrodynamic interactions and the frictional contacts between particles are numerically studied under simple and oscillatory shears in terms of the lattice Boltzmann method. We successfully…

软凝聚态物质 · 物理学 2020-04-06 Pradipto , Hisao Hayakawa

We study the effects of the uniaxial tensile strain and shear deformation as well as their combinations on the electronic properties of single-layer black phosphorene. The evolutions of the strain-dependent band gap are obtained using the…

Viscoelastic shear flows support additional chaotic states beyond simple Newtonian turbulence. In vanishing Reynolds number flows, the nonlinearity in the polymer evolution equation alone can sustain inertialess 'elastic' turbulence (ET)…

流体动力学 · 物理学 2024-08-22 Miguel Beneitez , Jacob Page , Yves Dubief , Rich R. Kerswell

Based on the exact solution of Boltzmann kinetic equation in the relaxation-time approximation, the precision of the two most recent formulations of relativistic second-order non-conformal viscous hydrodynamics (14-moment approximation and…

核理论 · 物理学 2015-06-11 Radoslaw Ryblewski

The onset of plasticity in quenched martensitic microstructures is characterized by a low initial yield stress followed by an extremely strong initial hardening response, and then a sudden hardening saturation. Literature attributes this…

材料科学 · 物理学 2022-11-17 V. Rezazadeh , R. H. J. Peerlings , J. P. M. Hoefnagels , F. Maresca , M. G. D. Geers

Fibre-reinforced elastomers are lightweight and strong materials that can sustain large deformations. When filled with magnetic particles, their effective mechanical response can be modified by an external magnetic field. In the present…

软凝聚态物质 · 物理学 2025-04-25 Harold Berjamin , Stephan Rudykh
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