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The ratio between the couplings of a relaxational process to compression and shear, respectively, is calculated in the Eshelby picture of structural rearrangements within a surrounding elastic matrix, assuming a constant density of stable…

Disordered Systems and Neural Networks · Physics 2016-04-19 U. Buchenau

We study the linear dynamic mechanical response of monodomain nematic liquid crystalline elastomers under shear in the geometry that allows the director rotation. The aspects of time-temperature superposition are discussed at some length…

Materials Science · Physics 2009-11-07 A. Hotta , E. M. Terentjev

We report a large amount of experimental data on the stress overshoot phenomenon which takes place during start-up shear flows in a simple yield stress fluid, namely a carbopol microgel. A combination of classical rheological measurements…

Soft Condensed Matter · Physics 2015-03-19 Thibaut Divoux , Catherine Barentin , Sebastien Manneville

Turbulent flows over blunt bodies with distributed roughness present a class of problems relevant to hypersonic atmospheric entry systems. However, accurate predictions of shear stress on such bodies remains elusive. This work presents a…

Fluid Dynamics · Physics 2025-08-22 Mateus A. R. Braga , Robyn L. Macdonald

We investigate the mechanical response of jammed packings of repulsive, frictionless spherical particles undergoing isotropic compression. Prior simulations of the soft-particle model, where the repulsive interactions scale as a power-law…

Soft Condensed Matter · Physics 2021-02-24 Philip Wang , Shiyun Zhang , Philip Tuckman , Nicholas T. Ouellette , Mark D. Shattuck , Corey S. O'Hern

In the framework of a viscoelastic material model, whose constitutive relation is given by a one-parameter family of Gordon-Schowalter derivatives, the problem of simple shear under acceleration and random velocity motion is considered. For…

Soft Condensed Matter · Physics 2025-12-24 Vladislav V. Kozhukhov

When sheared, granular media experience localized plastic events known as shear transformations which generate anisotropic internal stresses. Under strong confining pressure, the response of granular media to local force multipoles is…

Soft Condensed Matter · Physics 2025-12-11 Félix Benoist , Mehdi Bouzid , Martin Lenz

We analyze the steady planar shear flow of the modified Johnson-Segalman model, which has an added non-local term. We find that the new term allows for unambiguous selection of the stress at which two ``phases'' coexist, in contrast to the…

Soft Condensed Matter · Physics 2009-10-31 C. -Y. David Lu , Peter D. Olmsted , R. C. Ball

In this paper we express the linearized dynamics of interacting interfacial waves in stratified shear flows in the compact form of action-angle Hamilton equations. The pseudo-energy serves as the Hamiltonian of the system, the action…

Fluid Dynamics · Physics 2018-02-14 Eyal Heifetz , Anirban Guha

A stress equilibration procedure for linear elasticity is proposed and analyzed in this paper with emphasis on the behavior for (nearly) incompressible materials. Based on the displacement-pressure approximation computed with a stable…

Numerical Analysis · Mathematics 2019-11-01 Fleurianne Bertrand , Bernhard Kober , Marcel Moldenhauer , Gerhard Starke

In infinite dimension, many-body systems of pairwise interacting particles provide exact analytical benchmarks for features of amorphous materials, such as the stress-strain curve of glasses under quasistatic shear. Here, instead of a…

Disordered Systems and Neural Networks · Physics 2021-03-16 Elisabeth Agoritsas

We have carried out shear-deformation simulations on amorphous Mg-Cu systems at zero temperature and pressure, containing 2048-131072 atoms. At the largest size a smooth stress-strain curve is obtained with a well-defined flow stress. In…

Materials Science · Physics 2007-05-23 Nicholas P. Bailey , Jakob Schiøtz , Karsten W. Jacobsen

Disordered spring networks are a useful paradigm to examine macroscopic mechanical properties of amorphous materials. Here, we study the elastic behavior of under-constrained spring networks, i.e.\ networks with more degrees of freedom than…

Soft Condensed Matter · Physics 2023-01-18 Cheng-Tai Lee , Matthias Merkel

The linear response of two-dimensional amorphous elastic bodies to an external delta force is determined in analogy with recent experiments on granular aggregates. For the generated forces, stress and displacement fields, we find strong…

Statistical Mechanics · Physics 2009-11-10 F. Leonforte , A. Tanguy , J. P. Wittmer , J. -L. Barrat

We study correlation functions in an equilibrated spatially modulated phase of Einstein-Maxwell two-derivative gravity. We find that the ratio of the appropriate low frequency limit of the stress-stress two point function to the entropy…

High Energy Physics - Theory · Physics 2015-01-29 O. Ovdat , A. Yarom

A criterion for the mean stress effect correction in the shift factor approach for variable amplitude life prediction is presented for both smooth and notched specimens. The criterion is applied to the simple idea proposed by the authors in…

Applied Physics · Physics 2019-10-01 Pietro D'Antuono , Michele Ciavarella

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…

Soft Condensed Matter · Physics 2015-05-19 E. A. Jagla

Shear transformations (i.e., localised rearrangements of particles resulting in the shear deformation of a small region of the sample) are the building blocks of mesoscale models for the flow of disordered solids. In order to compute the…

Soft Condensed Matter · Physics 2015-06-24 Alexandre Nicolas , Francesco Puosi , Hideyuki Mizuno , Jean-Louis Barrat

Achieving strongly symmetric stress approximations for linear elasticity problems in high-contrast media poses a significant computational challenge. Conventional methods often struggle with prohibitively high computational costs due to…

Numerical Analysis · Mathematics 2025-09-03 Eric T. Chung , Changqing Ye , Xiang Zhong

This paper demonstrates an equivalence between rotating magnetised shear flows and a stressed elastic beam. This results from finding the same form of dynamical equations after an asymptotic reduction of the axis-symmetric magnetorotational…

Solar and Stellar Astrophysics · Physics 2018-04-30 Geoff Vasil