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In this paper, gradient-based optimization methods are combined with finite-element modeling for improving electric devices. Geometric design parameters are considered by affine decomposition of the geometry or by the design element…

This paper deals with the formulation, calibration, and validation of a Lattice Discrete Particle Model (LDPM) for the simulation of the pressure-dependent inelastic response of granular rocks. LDPM is formulated in the framework of…

Materials Science · Physics 2016-05-23 Shiva Esna Ashari , Giuseppe Buscarnera , Gianluca Cusatis

Advancements in computing power have made it possible to numerically simulate large-scale fluid-mechanical and/or particulate systems, many of which are integral to core industrial processes. Among the different numerical methods available,…

Machine Learning · Computer Science 2025-02-28 Benedikt Alkin , Tobias Kronlachner , Samuele Papa , Stefan Pirker , Thomas Lichtenegger , Johannes Brandstetter

We present the implementation of two advanced capillary bridge approximations within the Discrete Element Method (DEM) framework of the open-source code MercuryDPM. While MercuryDPM already includes a simplified version of the Willett…

Soft Condensed Matter · Physics 2024-11-05 Meysam Bagheri , Sudeshna Roy , Thorsten Poeschel

The variational discrete element method developed in [28] for dynamic elasto-plastic computations is adapted to compute the deformation of elastic Cosserat materials. In addition to cellwise displacement degrees of freedom (dofs), cellwise…

Numerical Analysis · Mathematics 2022-02-18 Frédéric Marazzato

Numerical simulation of nonlinear elastic wave propagation in solids with cracks is indispensable for decoding the complicated mechanisms associated with the nonlinear ultrasonic techniques in Non-Destructive Testing (NDT). Here, we…

Geophysics · Physics 2019-07-31 Ke Gao , Esteban Rougier , Robert Guyer , Zhou Lei , Paul A. Johnson

This article offers a new perspective for the mechanics of solids using moving Cartan's frame, specifically discussing a mixed variational principle in non-linear elasticity. We treat quantities defined on the co-tangent bundles of…

Computational Engineering, Finance, and Science · Computer Science 2022-04-06 Bensingh Dhas , Jamun Kumar N , Debasish Roy , J N Reddy

The sedimentation process of granular materials exists ubiquitously in nature and many fields which involve the solid-liquid separation. This paper employs the coupled computational fluid dynamics and discrete element method (CFD-DEM) to…

Fluid Dynamics · Physics 2017-11-07 Shan-Lin Xu , Rui Sun , Yuan-Qiang Cai , Hong-Lei Sun

The paper presents a micromechanical representation of deformation in 2D granular materials. The representation is a generalization of K. Bagi's work and is based upon the void-cell approach of M. Satake. The general representation applies…

Soft Condensed Matter · Physics 2024-12-04 Matthew R. Kuhn

We perform Discrete Element Method (DEM) simulations of granular particles (polystyrene spheres) vibrated inside a cubic container. The study investigates the evolution of the packing fraction with and without rotational friction at…

Soft Condensed Matter · Physics 2026-03-03 Linnea Heitmeier , Jan Gabriel

We show that the DDR method can be interpreted as defining a computable consistent discrete $\mathrm{L}^2$ product on a conforming FES defined by PDEs. Without modifying the numerical method itself, this point of view provides an…

Numerical Analysis · Mathematics 2025-12-23 Snorre H. Christiansen , Francesca Rapetti

Scientific computing for large deformation of elastic-plastic solids is critical for numerous real-world applications. Classical numerical solvers rely primarily on local discrete linear approximation and are constrained by an inherent…

Machine Learning · Computer Science 2025-06-09 Shilong Tao , Zhe Feng , Haonan Sun , Zhanxing Zhu , Yunhuai Liu

In three-dimensional discrete element method (DEM) simulations, the particle motions within a granular assembly can produce bewildering sequences of movements at the contacts between particle pairs. With frictional contacts, the…

Soft Condensed Matter · Physics 2018-12-27 Matthew R. Kuhn

We treat the accurate simulation of the calcination reaction in particles, where the particles are large and, thus, the inner-particle processes must be resolved. Because these processes need to be described with coupled partial…

Fluid Dynamics · Physics 2023-11-28 Lucas Reineking , Torben Bergold , Enric Illana , Viktor Scherer , Martin Mönnigmann

We present a multiscale simulation algorithm for amorphous materials, which we illustrate and validate in a canonical case of dense granular flow. Our algorithm is based on the recently proposed Spot Model, where particles in a dense random…

Soft Condensed Matter · Physics 2009-11-11 Chris H. Rycroft , Martin Z. Bazant , Gary S. Grest , James W. Landry

Approximately $75 \%$ of the raw material and $50 \%$ of the products in the chemical industry are granular materials. The Discrete Element Method (DEM) provides detailed insights of phenomena at particle scale and it is therefore often…

Materials Science · Physics 2021-06-18 Shahab Golshan , Peter Munch , Rene Gassmoller , Martin Kronbichler , Bruno Blais

In this paper, an enhanced Virtual Element Method (VEM) formulation is proposed for plane elasticity. It is based on the improvement of the strain representation within the element, without altering the degree of the displacement…

Numerical Analysis · Mathematics 2021-02-24 A. M. D'Altri , S. de Miranda , L. Patruno , E. Sacco

A three-dimensional simulation model is proposed here to study the erosive wear of structure caused by solid particles, which accounts for the accumulation of surface deformation and degradation during the erosion process. Although there…

Fluid Dynamics · Physics 2025-03-04 Vinh D. X. Nguyen , A. Kiet Tieu , Damien Andre , Hongtao Zhu

The Paper discusses the use of the regular packing of identical balls with the coordination number 4 as a model of a medium consisting of fluid and solid particles in the conditions of fluidization. It is proposed to use the examined…

Soft Condensed Matter · Physics 2015-10-14 Mark A. Tsayger

Flexible barriers are increasingly used for the protection from debris flow in mountainous terrain due to their low cost and environmental impact. However, a numerical tool for rational design of such structures is still missing. In this…

Soft Condensed Matter · Physics 2020-07-20 Alessandro Leonardi , Falk K. Wittel , Miller Mendoza , Roman Vetter , Hans J. Herrmann