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Sheared granular layers undergoing stick slip behavior are broadly employed to study the physics and dynamics of earthquakes. Here, a two dimensional implementation of the combined finite discrete element method (FDEM), which merges the…

Discrete Element Methods (DEM) are a useful tool to model the fracture of cohesive granular materials. For this kind of application, simple particle shapes (discs in 2D, spheres in 3D) are usually employed. However, dealing with more…

Soft Condensed Matter · Physics 2016-07-07 A Neveu , R Artoni , P Richard , Y Descantes

We present a deformable Discrete Element Method (DEM) that extends the classical rigid-particle formulation through a reduced-order description of elastic grain-scale deformation. The method hinges on two developments. First, an energetic…

Soft Condensed Matter · Physics 2026-02-16 Thomas Henzel , Konstantinos Karapiperis

Usage, manipulation, transport, delivery, and mixing of granular or particulate media, comprised of spherical or polyhedral particles, is commonly encountered in industrial sectors of construction (cement and rock fragments), pharmaceutics…

Computational Engineering, Finance, and Science · Computer Science 2021-02-25 Prashant K. Jha , Prathamesh S. Desai , Debdeep Bhattacharya , Robert Lipton

In this paper, the Combined Finite-Discrete Element Method (FDEM) has been applied to analyze the deformation of anisotropic geomaterials. In the most general case geomaterials are both non-homogeneous and non-isotropic. With the aim of…

Geophysics · Physics 2018-05-17 Zhou Lei , Esteban Rougier , Earl E. Knight , Antonio Munjiza , Hari Viswanathan

A micro-hydromechanical model for granular materials is presented. It combines the discrete element method (DEM) for the modeling of the solid phase and a pore-scale finite volume (PFV) formulation for the flow of an incompressible pore…

Soft Condensed Matter · Physics 2013-12-17 Emanuele Catalano , Bruno Chareyre , Eric Barthélémy

Mixed atomistic and continuum methods offer the possibility of carrying out simulations of material properties at both larger length scales and longer times than direct atomistic calculations. The quasi-continuum method links atomistic and…

Materials Science · Physics 2007-05-23 V. B. Shenoy , R. Miller , E. B. Tadmor , D. Rodney , R. Phillips , M. Ortiz

The XDEM multi-physics and multi-scale simulation platform roots in the Ex- tended Discrete Element Method (XDEM) and is being developed at the In- stitute of Computational Engineering at the University of Luxembourg. The platform is an…

Computational Engineering, Finance, and Science · Computer Science 2018-08-27 Bernhard Peters , Maryam Baniasadi , Mehdi Baniasadi , Xavier Besseron , Alvaro Estupinan Donoso , Mohammad Mohseni , Gabriele Pozzetti

Free surface and granular fluid mechanics problems combine the challenges of fluid dynamics with aspects of granular behaviour. This type of problem is particularly relevant in contexts such as the flow of sediments in rivers, the movement…

Computational Engineering, Finance, and Science · Computer Science 2025-01-07 Thomas Leyssens , Michel Henry , Jonathan Lambrechts , Vincent Legat , Jean-François Remacle

Knowledge of the underlying mechanisms of multiphase flow dynamics in porous media is crucial for optimizing subsurface engineering applications like geological carbon sequestration. However, studying the micro-mechanisms of multiphase…

Fluid Dynamics · Physics 2025-08-01 Quanwei Dai , Kang Duan , Chung-Yee Kwok

Faceted shapes, such as polyhedra, are commonly found in systems of nanoscale, colloidal, and granular particles. Many interesting physical phenomena, like crystal nucleation and growth, vacancy motion, and glassy dynamics are challenging…

Computational Physics · Physics 2017-03-08 Matthew Spellings , Ryan L. Marson , Joshua A. Anderson , Sharon C. Glotzer

The large time and length scales and, not least, the vast number of particles involved in industrial-scale simulations inflate the computational costs of the Discrete Element Method (DEM) excessively. Coarse grain models can help to lower…

Computational Physics · Physics 2017-05-11 Daniel Queteschiner , Thomas Lichtenegger , Simon Schneiderbauer , Stefan Pirker

We propose an energy-stable parametric finite element method (ES-PFEM) for simulating solid-state dewetting of thin films in two dimensions via a sharp-interface model, which is governed by surface diffusion and contact line (point)…

Numerical Analysis · Mathematics 2020-06-08 Quan Zhao , Wei Jiang , Weizhu Bao

The Extended Discrete Element Method (XDEM) is an innovative numerical simulation technique that extends the dynamics of granular materials known as Discrete Element Method (DEM) by additional properties such as the thermodynamic state,…

Computational Engineering, Finance, and Science · Computer Science 2022-08-31 Abdoul Wahid Mainassara Checkaraou , Xavier Besseron , Alban Rousset , Fenglei Qi , Bernhard Peters

We provide a numerical platform for the analysis of particle shape and topology effect on the macroscopic behavior of granular media. We work within a Discrete Element Method (DEM) framework and apply a peridynamic model for deformable…

Soft Condensed Matter · Physics 2023-08-09 Debdeep Bhattacharya , Robert P. Lipton

In this article we consider the widely used immersed finite element method (IFEM), in both explicit and implicit form, and its relationship to our more recent one-field fictitious domain method (FDM). We review and extend the formulation of…

Numerical Analysis · Computer Science 2019-10-23 Yongxing Wang , Peter K. Jimack , Mark A. Walkley

This paper presents a general theory and isogeometric finite element implementation for studying mass conserving phase transitions on deforming surfaces. The mathematical problem is governed by two coupled fourth-order nonlinear partial…

In practical structural design and solid mechanics simulations, material properties inherently exhibit random variations within bounded intervals. However, evaluating mechanical responses under continuous material uncertainty remains a…

Machine Learning · Computer Science 2026-03-30 Zhangyong Liang , Huanhuan Gao

Development of algorithms and growth of computational resources in the past decades have enabled simulations of sediment transport processes with unprecedented fidelities. The Computational Fluid Dynamics--Discrete Element Method (CFD--DEM)…

Computational Physics · Physics 2017-09-13 Rui Sun , Heng Xiao

Simulation of fracturing processes in porous rocks can be divided into two main branches: (i) modeling the rock as a continuum which is enhanced with special features to account for fractures, or (ii) modeling the rock by a discrete (or…

Numerical Analysis · Mathematics 2017-02-07 Halvor Møll Nilsen , Idar Larsen , Xavier Raynaud
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