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True biaxial tests of granular materials are investigated by applying the principle of minimal dissipation and comparing to two dimensional contact dynamics simulations. It is shown that the macroscopic steady state manifested by constant…

Statistical Mechanics · Physics 2011-04-04 Thomas Stegmann , Janos Török , Lothar Brendel , Dietrich E. Wolf

Within this work, we develop a phase-field description for simulating fractures in incompressible materials. Standard formulations are subject to volume-locking when the solid is (nearly) incompressible. We propose an approach that builds…

Numerical Analysis · Mathematics 2024-12-20 Katrin Mang , Thomas Wick , Winnifried Wollner

Complex systems having metastable elements often demonstrate nearly log-time relaxations and a kind of aging: repeated stimuli weaken the system's relaxational response. Granular matter is known to exhibit a wealth of such behaviors, for…

Soft Condensed Matter · Physics 2014-06-16 V. Y. Zaitsev , V. E. Gusev , V. Tournat , P. Richard

During quasi-static dynamics of granular systems, the stress and structure self-organise, but there is currently no quantitative measure or understanding of this phenomenon. Such an understanding is essential because local structural…

Soft Condensed Matter · Physics 2024-10-29 Xiaoyu Jiang , Raphael Blumenfeld , Takashi Matsushima

The propagation of general electronic quantum states provides information of the interaction of molecular systems with external driving fields. These can also offer understandings regarding non-adiabatic quantum phenomena. Well established…

Quantum Physics · Physics 2023-09-08 Martín A. Mosquera

We investigate the formation of polycrystalline structures in a class of particle systems. The atomistic energy is modeled as a sum of particle energies that favor atoms being locally isometric to a reference lattice. The discrete frame…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Leonard Kreutz , Timo Ziereis

The phase separation of a simple binary mixture of incompatible linear polymers in solution is investigated using an extension of the sedimentation equilibrium method, whereby the osmotic pressure of the mixture is extracted from the…

Soft Condensed Matter · Physics 2009-09-29 Chris I. Addison , Pierre-Arnaud Artola , Jean-Pierre Hansen , Ard A. Louis

A significant amount of attention was dedicated in recent years to the phenomenon of jamming of athermal amorphous solids by increasing the volume fraction of the microscopic constituents. At a critical value of the volume fraction,…

Soft Condensed Matter · Physics 2023-05-03 Yuliang Jin , Itamar Procaccia , Tuhin Samanta

A continuum theory of partially fluidized granular flows is developed. The theory is based on a combination of the equations for the flow velocity and shear stresses coupled with the order parameter equation which describes the transition…

Statistical Mechanics · Physics 2016-08-31 Igor S. Aranson , Lev S. Tsimring

Computational formulations for large strain, polyconvex, nearly incompressible elasticity have been extensively studied, but research on enhancing solution schemes that offer better tradeoffs between accuracy, robustness, and computational…

Applied Physics · Physics 2019-10-22 Elias Karabelas , Gundolf Haase , Gernot Plank , Christoph M. Augustin

The stability and transition in the bottom boundary layer under a solitary wave are analysed in the presence of finite amplitude disturbances. First, the receptivity of the boundary layer is investigated using a linear input-output…

Fluid Dynamics · Physics 2020-07-15 Asim Önder , Philip Li-Fan Liu

Two-dimensional (2D) materials can be used as stabilizing templates for exotic nanostructures, including pore-stabilized, free-standing patches of elemental metal monolayers. Although these patches represent metal clusters under extreme…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Janne Nevalaita , Pekka Koskinen

The process of structural relaxation in disordered solids subjected to repeated tension-compression loading is studied using molecular dynamics simulations. The binary glass is prepared by rapid cooling well below the glass transition…

Soft Condensed Matter · Physics 2020-05-04 Pritam Kumar Jana , Nikolai V. Priezjev

In soft amorphous solids, localized irreversible (plastic) stress dissipation occurs as a response to external forcings. A crucial question is whether we can identify structural properties linked to a region's propensity to undergo a…

Soft Condensed Matter · Physics 2025-02-24 Anier Hernandez-Garcia

Instabilities and pattern formation is the rule in nonequilibrium systems. Selection of a persistent lengthscale, or coarsening (increase of the lengthscale with time) are the two major alternatives. When and under which conditions one…

Statistical Mechanics · Physics 2010-01-25 Chaouqi Misbah , Paolo Politi

Under an applied external load the global load-sharing fiber bundle model, with individual fiber strength thresholds sampled randomly from a probability distribution, will relax to an equilibrium state, or to complete bundle breakdown. The…

Statistical Mechanics · Physics 2010-09-20 Srutarshi Pradhan , Per C. Hemmer

The stressed state of flattened thin elastic sheet, as well as that of translationally symmetric 3D solids, are effectively 2D problems. This paper study equilibrium state-of-stress in metrically-incompatible 2D elastic materials. The…

Soft Condensed Matter · Physics 2015-10-13 Michael Moshe , Eran Sharon , Raz Kupferman

Elastic and dissipative properties of granular assemblies under uniaxial compression are studied both experimentally and by numerical simulations. Following a novel compaction procedure at varying oscillatory pressures, the stress response…

Soft Condensed Matter · Physics 2009-11-11 Jasna Brujic , Ping Wang , Chaoming Song , David L. Johnson , Olivier Sindt , Hernan A. Makse

Soft spheres interacting via a hard core and range of attractive and repulsive "soft-shoulder" potentials self-assemble into clusters forming a variety of mesophases. We combine a mean field theory developed from a lattice model with a…

Soft Condensed Matter · Physics 2009-12-21 Homin Shin , Gregory M. Grason , Christian D. Santangelo

We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticity theory, the critical hypothesis in the present…

Analysis of PDEs · Mathematics 2020-09-09 Husnu A. Erbay , Yasemin Sengul