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This paper concerns with finite element approximations of a quasi-static poroelasticity model in displacement-pressure formulation which describes the dynamics of poro-elastic materials under an applied mechanical force on the boundary. To…

Numerical Analysis · Mathematics 2014-12-01 Xiaobing Feng , Zhihao Ge , Yukun Li

We analyze in details the atomistic response of a model amorphous material submitted to plastic shear in the athermal, quasistatic limit. After a linear stress-strain behavior, the system undergoes a noisy plastic flow. We show that the…

Materials Science · Physics 2009-11-11 Anne Tanguy , Fabien Leonforte , J. -L. Barrat

Quartz Crystal Microbalance with Dissipation monitoring (QCM-D) has become a major tool in the analysis of adsorption of nanometric objects, such as proteins, viruses, liposomes and inorganic particles from the solution. While in vacuum…

Soft Condensed Matter · Physics 2024-07-11 Alexander M. Leshansky , Itzhak Fouxon , Boris Y. Rubinstein

Quasi-localised modes appear in the vibrational spectrum of amorphous solids at low-frequency. Though never formalised, these modes are believed to have a close relationship with other important local excitations, including shear…

Soft Condensed Matter · Physics 2019-03-06 Wencheng Ji , Marko Popović , Tom W. J. de Geus , Edan Lerner , Matthieu Wyart

The two-phase composite approach of Estrin et al. (1998) describes an evolving dislocation cell structure. Mckenzie et al. (2007) enhanced the model to capture the effects of hydrostatic pressure and temperature during severe plastic…

Materials Science · Physics 2013-03-08 C. B. Silbermann , A. V. Shutov , J. Ihlemann

Here we present a model to study the micro-plastic regime of a stress-strain curve. In this model an explicit dislocation population represents the mobile dislocation content and an internal shear-stress field represents a mean-field…

Materials Science · Physics 2015-06-05 P. M. Derlet , R. Maaß

Relaxation of shear bands in a Pd40Ni40P20 bulk metallic glass was investigated by a combination of radiotracer diffusion and molecular dynamics (MD) simulations, allowing to determine for the first time the effective activation enthalpy of…

Materials Science · Physics 2015-09-15 I. Binkowski , G. P. Shrivastav , J. Horbach , S. V. Divinski , G. Wilde

We examine the dynamics of two-dimensional colloidal systems using numerical simulations of a system with a drive applied to a thin region in the middle of the sample to produce a local shear. For a monodisperse colloidal assembly, we find…

Soft Condensed Matter · Physics 2015-06-11 A. Libal , B. M. Csiki , C. J. Olson Reichhardt , C. Reichhardt

Semi-analytical methods, based on Eulerian perturbation theory, are a promising tool to follow the time evolution of cosmological perturbations at small redshifts and at mildly nonlinear scales. All these schemes are based on two…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Massimo Pietroni , Gianpiero Mangano , Ninetta Saviano , Matteo Viel

A phase-field description of brittle fracture is employed in the reported four-point bending analyses of monolithic and laminated glass plates. Our aims are: (i) to compare different phase-field fracture formulations applied to thin glass…

Computational Engineering, Finance, and Science · Computer Science 2020-12-30 Jaroslav Schmidt , Alena Zemanová , Jan Zeman , Michal Šejnoha

Amorphous materials such as metallic, polymeric, and colloidal glasses, exhibit complex preparation-dependent mechanical response to applied shear. We perform numerical simulations to investigate the mechanical response of binary…

Statistical Mechanics · Physics 2017-09-13 Meng Fan , Kai Zhang , Jan Schroers , Mark D. Shattuck , Corey S. O'Hern

The viscoplastic deformation (creep) of crystalline materials under constant stress involves the motion of a large number of interacting dislocations. Analytical methods and sophisticated `dislocation-dynamics' simulations have proved very…

Statistical Mechanics · Physics 2009-11-07 M. -Carmen Miguel , Alessandro Vespignani , Stefano Zapperi , Jerome Weiss , Jean-Robert Grasso

We use a theoretical model to explore how fluid dynamics, in particular, the pressure gradient and wall shear stress in a channel, affect the deposition of particles flowing in a microfluidic network. Experiments on transport of colloidal…

Soft Condensed Matter · Physics 2023-03-28 Gess Kelly , Navid Bizmark , Bulbul Chakraborty , Sujit S. Datta , Thomas G. Fai

We measure the local yield stress, at the scale of small atomic regions, in a deeply quenched two-dimensional glass model undergoing shear banding in response to athermal quasistatic (AQS) deformation. We find that the occurrence of…

Materials Science · Physics 2020-03-17 Armand Barbot , Matthias Lerbinger , Anaël Lemaître , Damien Vandembroucq , Sylvain Patinet

Dynamic shear banding under adiabatic conditions in a mesoscale polycrystalline aggregate is studied using a model of mesoscale dislocation mechanics and experiments. The model involves a length scale related to hardening induced by…

A field theory is presented for predicting damage and fracture in quasi-brittle materials. The approach taken here is new and blends a non-local constitutive law with a two-point phase field. In this formulation, the material displacement…

Materials Science · Physics 2025-10-07 Semsi Coskun , Davood Damircheli , Robert Lipton

Hypo-elastoplasticity is a flexible framework for modeling the mechanics of many hard materials under small elastic deformation and large plastic deformation. Under typical loading rates, most laboratory tests of these materials happen in…

Computational Physics · Physics 2020-11-03 Nicholas M. Boffi , Chris H. Rycroft

A novel, concurrent multiscale approach to meso/macroscale plasticity is demonstrated. It utilizes a carefully designed coupling of a partial differential equation (pde) based theory of dislocation mediated crystal plasticity with…

Computational Engineering, Finance, and Science · Computer Science 2020-07-15 Sabyasachi Chatterjee , Giacomo Po , Xiaohan Zhang , Amit Acharya , Nasr Ghoniem

We derive a continuum-level plasticity model for polycrystalline materials in the high energy density regime, based on a single dislocation density and single mobility mechanism, with an evolution model for the dislocation density. The…

We modify a theory of flow stress introduced in [arXiv:1803.08247[cond-mat.mtrl-sci]], [arXiv:1809.03628[cond-mat.mes-hall]], [arXiv:1908.09338[cond-mat.mtrl-sci]] for a class of polycrystalline materials with equilibrium and…

Materials Science · Physics 2023-09-18 Alexander A. Reshetnyak , Varvara V. Shamshutdinova