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We investigate numerically the yielding transition of a two dimensional model amorphous solid under external shear. We use a scalar model in terms of values of the total local strain, that we derive from the full (tensorial) description of…

Statistical Mechanics · Physics 2018-07-18 I. Fernández Aguirre , E. A. Jagla

We present a variational principle governing the quasistatic evolution of a linearized elastoplastic material. In case of linear hardening, the novel characterization allows to recover and partly extend some known results and proves itself…

Analysis of PDEs · Mathematics 2007-10-15 Ulisse Stefanelli

Numerical simulations describing plunging breakers including the splash-up phenomenon are presented. The motion is governed by the classical, incompressible, two-dimensional Navier-Stokes equation. The numerical modelling of this two-phase…

comp-gas · Physics 2008-02-03 G. Chen , C. Kharif , S. Zaleski , J. Li

Numerical simulation of viscoelastic flows is challenging because of the hyperbolic nature of viscoelastic constitutive equations. Despite their superior accuracy and efficiency, pseudo-spectral methods require the introduction of…

Fluid Dynamics · Physics 2020-10-20 Lu Zhu , Li Xi

Computation of gas dispersal in urban places or hilly grounds requires a large amount of computer time when addressed with conventional multidimensional models. Those are usually based on two-phase flow or Navier-Stokes equations. Different…

Analysis of PDEs · Mathematics 2021-01-13 Alexandre Chiapolino , Sébastien Courtiaud , Emmanuel Lapebie , Richard Saurel

This paper addresses the modeling of fracture in quasi-brittle materials using a phase-field approach to the description of crack topology. Within the computational mechanics community, several studies have treated the issue of modeling…

Computational Engineering, Finance, and Science · Computer Science 2019-03-01 Jacinto Ulloa , Patricio Rodríguez , Cristóbal Samaniego , Esteban Samaniego

When the effects of relative motion at the solid object interfaces are not negligible, the contact method is required in the smoothed particle hydrodynamics (SPH) method to prevent virtual shear and tensile stresses. However, there is still…

Fluid Dynamics · Physics 2024-09-06 Wenbin Liu , Zhuoping Duan , Yan Liu , Fenglei Huang

We present a three-dimensional (3D) partitioned aeroelastic formulation for a flexible multibody system interacting with incompressible turbulent fluid flow. While the incompressible Navier-Stokes system is discretized using a stabilized…

Fluid Dynamics · Physics 2020-11-03 Vaibhav Joshi , Rajeev K. Jaiman , Carl Ollivier-Gooch

The development of accurate constitutive models for materials that undergo path-dependent processes continues to be a complex challenge in computational solid mechanics. Challenges arise both in considering the appropriate model assumptions…

Machine Learning · Computer Science 2023-02-22 Jan N. Fuhg , Craig M. Hamel , Kyle Johnson , Reese Jones , Nikolaos Bouklas

An hyperelastic biphasic model is presented. For slow-draining problems (permeability less than 1\times10-2 mm4 N-1 s-1), numerical instabilities in the form of non-physical oscillations in the pressure field are observed in 3D problems…

Numerical Analysis · Mathematics 2011-11-01 Julien Vignollet , Chris J. Pearce , Lukasz Kaczmarczyk

In this study, we use discrete dislocation dynamics (DDD) simulation to investigate the effect of heterogeneous dislocation density on the transition between quasi-elastic deformation and plastic flow in face-centered cubic single crystals.…

Materials Science · Physics 2019-07-24 Xu Zhang , Jian Xiong , Haidong Fan , Michael Zaiser

A polycrystalline solid is modelled as an ensemble of random irregular polyhedra filling the entire space occupied by the solid body, leaving no voids or flaws between them. Adjacent grains can slide with a relative velocity proportional to…

Materials Science · Physics 2025-11-03 Miguel Lagos

We study a quasi-incompressible Navier--Stokes/Cahn--Hilliard coupled system which describes the motion of two macroscopically immiscible incompressible viscous fluids with partial mixing in a small interfacial region and long-range…

Analysis of PDEs · Mathematics 2025-08-12 Mingwen Fei , Xiang Fei , Daozhi Han , Yadong Liu

We investigate through numerical simulations the hydrodynamic interactions between two rigid spherical particles suspended on the axis of a cylindrical tube filled with an elastoviscoplastic fluid subjected to pressure-driven flow. The…

Recent advance in nanotechnology has led to rapid advances in nanofluidics, which has been established as a reliable means for a wide variety of applications, including molecular separation, detection, crystallization and biosynthesis.…

Quantitative Methods · Quantitative Biology 2015-03-03 Jin Kyoung Park , Kelin Xia , Guo-Wei We

Virtual melting (VM) as alternative deformation and stress relaxation mechanisms under extreme load is directly validated by molecular dynamics (MD) simulations of the simple shear of single crystal Si I at a temperature 1,383 K below the…

Materials Science · Physics 2024-05-16 Hao Chen , Valery I. Levitas

We give computational results to study the accuracy of several quasicontinuum methods for two benchmark problems - the stability of a Lomer dislocation pair under shear and the stability of a lattice to plastic slip under tensile loading.…

Numerical Analysis · Mathematics 2015-03-17 Brian Van Koten , Xingjie Helen Li , Mitchell Luskin , Christoph Ortner

We use existing 3D Discrete Element simulations of simple shear flows of spheres to evaluate the radial distribution function at contact that enables kinetic theory to correctly predict the pressure and the shear stress, for different…

Soft Condensed Matter · Physics 2014-06-03 Dalila Vescovi , Diego Berzi , Patrick Richard , Nicolas Brodu

We perform exact Statistical Mechanics calculations for a system of elongated objects (hard needles) that are restricted to translate along a line and rotate within a plane, and that interact via both excluded-volume steric repulsion and…

Statistical Mechanics · Physics 2023-04-11 Danilo B. Liarte , Alberto Petri , Silvio R. Salinas

The article addresses the mathematical modeling of the folding of a thin elastic sheet along a prescribed curved arc. A rigorous model reduction from a general hyperelastic material description is carried out under appropriate scaling…

Numerical Analysis · Mathematics 2022-02-09 Sören Bartels , Andrea Bonito , Peter Hornung
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