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Multi-layer perceptron-based data-driven multiscale modelling of granular materials with a novel Frobenius norm-based internal variable

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Journal of Rock Mechanics and Geotechnical Engineering 2024年第6期16卷 2198-2218页

作者： Mengqi Wang y.t.feng Shaoheng Guan tongming Qu Zienkiewicz Centre for Computational Engineering Faculty of Science and EngineeringSwansea UniversitySwanseaWalesSA18EPUK Institute of theoretical and Computational Physics Graz University of TechnologyGraz8010Austria Department of Civil and Environmental Engineering Hong Kong University of Science and TechnologyClearwater BayKowloonHong KongChina

One objective of developing machine learning(ML)-based material models is to integrate them with well-established numerical methods to solve boundary value problems(BVPs).In the family of ML models,recurrent neural networks(RNNs)have been extensively applied to capture history-dependent constitutive responses of granular materials,but these multiple-step-based neural networks are neither sufficiently efficient nor aligned with the standard finite element method(FEM).Single-step-based neural networks like the multi-layer perceptron(MLP)are an alternative to bypass the above issues but have to introduce some internal variables to encode complex loading *** this work,one novel Frobenius norm-based internal variable,together with the Fourier layer and residual architectureenhanced MLP model,is crafted to replicate the history-dependent constitutive features of representative volume element(RVE)for granular *** obtained ML models are then seamlessly embedded into the FEM to solve the BVP of a biaxial compression case and a rigid strip footing *** obtained solutions are comparable to results from the FEM-DEM multiscale modelling but achieve significantly improved *** results demonstrate the applicability of the proposed internal variable in enabling MLP to capture highly nonlinear constitutive responses of granular materials.

关键词： Granular materials History-dependence Multi-layer perceptron(MLP) Discrete element method FEM-DEM Machine learning

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A particle-resolved heat-particle-fluid coupling model by DEM-IMB-LBM

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Journal of Rock Mechanics and Geotechnical Engineering 2024年第6期16卷 2267-2281页

作者： Ming Xia Jinlong Fu y.t.feng fengqiang Gong Jin yu Hunan Key Laboratory of Geomechanics and Engineering Safety Xiangtan UniversityXiangtan411105China Zienkiewicz Institute for Modelling Data and AISwansea UniversitySwanseaSA18EPUK School of Civil Engineering Southeast UniversityNanjing211189China Fujian Research Center for tunneling and Urban Underground Space Engineering Huaqiao UniversityXiamen361021China

Multifield coupling is frequently encountered and also an active area of research in geotechnical *** this work,a particle-resolved direct numerical simulation(PR-DNS)technique is extended to simulate particle-fluid interaction problems involving heat transfer at the grain *** this extended technique,an immersed moving boundary(IMB)scheme is used to couple the discrete element method(DEM)and lattice Boltzmann method(LBM),while a recently proposed Dirichlet-type thermal boundary condition is also adapted to account for heat transfer between fluid phase and solid *** resulting DEM-IBM-LBM model is robust to simulate moving curved boundaries with constant temperature in thermal *** facilitate the understanding and implementation of this coupled model for non-isothermal problems,a complete list is given for the conversion of relevant physical variables to lattice ***,benchmark tests,including a single-particle sedimentation and a two-particle drafting-kissing-tumbling(DKt)simulation with heat transfer,are carried out to validate the accuracy of our coupled *** further investigate the role of heat transfer in particle-laden flows,two multiple-particle problems with heat transfer are *** examples demonstrate that the proposed coupling model is a promising high-resolution approach for simulating the heat-particle-fluid coupling at the grain level.

关键词： Particle-fluid interaction Heat transfer Discrete element method(DEM) Lattice Boltzmann method(LBM) Dirichlet-type thermal boundary Direct numerical simulation

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Discrete Element Modelling of Dynamic Behaviour of Rockfills forResisting High Speed Projectile Penetration

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Computer Modeling in Engineering & Sciences 2021年第5期127卷 721-735页

作者： tingting Zhao y.t.feng Jie Zhang Zhihua Wang Zhiyong Wang College of Mechanical and Vehical Engineering Taiyuan University of TechnologyTaiyuan030024China Zienkiewicz Centre for Computational Engineering Swansea UniversitySwanseaSA28PPUK

this paper presents a convex polyhedral based discrete element method for modelling the dynamic behaviour ofrockfills for resisting high speed projectile penetration. the contact between two convex polyhedra is defined by theMinkowski overlap and determined by the GJK and EPA algorithm. the contact force is calculated by a Minkowskioverlap based normal model. the rotational motion of polyhedral particles is solved by employing a quaternionbased orientation representation scheme. the energy-conserving nature of the polyhedral DEM method ensures arobust and effective modelling of convex particle systems. the method is applied to simulate the dynamic behaviourof a rockfill system under impact of a high speed projectile. the rockfill sample is generated by a three-dimensionalVoronoi meso method with a specific particle size distribution. the penetrating process of the projectile strikingthe rockfill target is simulated. Some physical quantities associated with the projectile such as the residual velocity,penetration resistance, and deflection angle are monitored which can reflect the influence of the characteristics ofthe rockfill target on its anti-penetration performance. It can be concluded that the developed polyhedral DEMmethod is a very promising numerical approach in analysing the dynamic behaviour of rockfill systems subject tohigh speed projectile impact.

关键词： Discrete element method minkowski overlap polyhedral particles rockfill protection system high speed projectile penetration

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PARALLEL ANALySIS OF COMBINED FINItE/DISCREtE ELEMENt SyStEMS ON PC CLUStER

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Acta Mechanica Sinica 2004年第5期20卷 534-540页

作者：王福军 y.t.feng D.R.J.OWEN 张静刘洋 College of Water Conservancy & Civil Eng. China Agricultural UniversityBeijing 100083China Civil & Computational Engineering Centre University of Wales SwanseaSwanseaSA2 8PPU.K.

A computational strategy is presented for the nonlinear dynamic analysis of large- scale combined finite/discrete element systems on a PC *** this strategy,a dual-level domain decomposition scheme is adopted to implement the dynamic domain *** domain decomposition approach perfectly matches the requirement of reducing the memory size per processor of the *** treat the contact between boundary elements in neighbouring subdomains,the elements in a subdomain are classified into internal,interfacial and external *** this way,all the contact detect algorithms developed for a sequential computation could be adopted directly in the parallel *** examples show that this implementation is suitable for simulating large-scale *** typical numerical examples are given to demonstrate the parallel efficiency and scalability on a PC cluster.

关键词： parallel computation finite element discrete element PC cluster

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An MPI parallel DEM-IMB-LBM framework for simulating fluid-solid interaction problems

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Journal of Rock Mechanics and Geotechnical Engineering 2024年第6期16卷 2219-2231页

作者： Ming Xia Liuhong Deng fengqiang Gong tongming Qu y.t.feng Jin yu Hunan Key Laboratory of Geomechanics and Engineering Safety Xiangtan UniversityXiangtan411105China School of Civil Engineering Southeast UniversityNanjing211189China Department of Civil and Environmental Engineering Hong Kong University of Science and TechnologyHong KongChina Zienkiewicz Centre for Computational Engineering Swansea UniversitySwanseaSA18ENUK Fujian Research Center for tunneling and Urban Underground Space Engineering Huaqiao UniversityXiamen361021China

the high-resolution DEM-IMB-LBM model can accurately describe pore-scale fluid-solid interactions,but its potential for use in geotechnical engineering analysis has not been fully unleashed due to its prohibitive computational *** overcome this limitation,a message passing interface(MPI)parallel DEM-IMB-LBM framework is proposed aimed at enhancing computation *** framework utilises a static domain decomposition scheme,with the entire computation domain being decomposed into multiple subdomains according to predefined processors.A detailed parallel strategy is employed for both contact detection and hydrodynamic force *** particular,a particle ID re-numbering scheme is proposed to handle particle transitions across sub-domain *** benchmarks are conducted to validate the accuracy and overall performance of the proposed ***,the framework is applied to simulate scenarios involving multi-particle sedimentation and submarine *** numerical examples effectively demonstrate the robustness and applicability of the MPI parallel DEM-IMB-LBM framework.

关键词： Discrete element method(DEM) Lattice Boltzmann method(LBM) Immersed moving boundary(IMB) Multi-cores parallelization Message passing interface(MPI) CPU Submarine landslides

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Deep Learning Predicts Stress–Strain Relations of Granular Materials Based on triaxial testing Data

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Computer Modeling in Engineering & Sciences 2021年第7期128卷 129-144页

作者： tongming Qu Shaocheng Di y.t.feng Min Wang tingting Zhao Mengqi Wang Zienkiewicz Centre for Computational Engineering College of EngineeringSwansea UniversitySwanseaWalesSA18EPUK College of Shipbuilding Engineering Harbin Engineering UniversityHarbin150001China Institute of Applied Mechanics and Biomedical Engineering Taiyuan University of TechnologyTaiyuan030024China Fluid Dynamics and Solid Mechanics Group Theoretical DivisionLos Alamos National LaboratoryLos AlamosNM 87545USA

this study presents an AI-based constitutive modelling framework wherein the prediction model directly learns from triaxial testing data by combining discrete element modelling(DEM)and deep learning.A constitutive learning strategy is proposed based on the generally accepted frame-indifference assumption in constructing material constitutive *** low-dimensional principal stress-strain sequence pairs,measured from discrete element modelling of triaxial testing,are used to train recurrent neural networks,and then the predicted principal stress sequence is augmented to other high-dimensional or general stress tensor via coordinate *** detailed hyperparameter investigations,it is found that long short-term memory(LStM)and gated recurrent unit(GRU)networks have similar prediction performance in constitutive modelling problems,and both satisfactorily predict the stress responses of granular materials subjected to a given unseen strain ***,the unique merits and ongoing challenges of data-driven constitutive models for granular materials are discussed.

关键词： Deep learning granular materials constitutive modelling discrete element modelling coordinate transformation LStM GRU

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Modelling of Magnetorheological Fluids with Combined Lattice Boltzmann and Discrete Element Approach

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Communications in Computational Physics 2010年第5期7卷 1095-1117页

作者： K.Han y.t.feng D.R.J.Owen Civil and Computational Engineering Centre School of EngineeringSwansea UniversitySA28PPUK

A combined lattice Boltzmann and discrete element approach is proposedfor numerical modelling of magnetorheological fluids. In its formulation, the particledynamics is simulated by the discrete element method, while the fluid field is resolvedwith the lattice Boltzmann method. the coupling between the fluid and the particlesare realized through the hydrodynamic interactions. Procedures for computing magnetic, contact and hydrodynamic forces are discussed in detail. the applicability ofthe proposed solution procedure is illustrated via a two-stage simulation of a MR fluidproblem with four different particle volume fractions. At the first stage, simulationsare performed for the particle chain formation upon application of an external magnetic field;and at the second stage, the rheological properties of the MR fluid underdifferent shear loading conditions are investigated with the particle chains establishedat the first stage as the initial configuration.

关键词： Magnetorheological fluids particle dynamics rheological properties magnetic interaction models lattice Boltzmann method discrete element method

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Editorial for Multiscale&Multifield Coupling in Geomechanics

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Journal of Rock Mechanics and Geotechnical Engineering 2024年第6期16卷 1919-1921页

作者： Min Wang Pengzhi Pan Andrew H.C.Chan y.t.feng t-3 Fluid Dynamics and Solid Mechanics Theoretical DivisionLos Alamos National LaboratoryNew MexicoUSA Institute of Rock and Soil Mechanics Chinese Academy of SciencesWuhanChina School of Engineering University of TasmaniaTasmaniaAustralia College of Engineering Swansea UniversityWalesUK

We are delighted to serve as guest editors for this special issue in the Journal of Rock Mechanics and Geotechnical *** purpose of this special issue is dedicated to gathering the latest research work on Multiscale&Multifield Coupling in Geomechanics,where we delve into the intricate interplay of various fields and scales that govern the behavior of *** total,30 manuscripts from USA,China,UK,Germany,Canada,India and United Arab Emirates are selected to be included in this issue.

关键词： materials. gathering mechanics

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Exact Scaling of Discrete Element Models for Large Scale Particle Systems

Exact Scaling of Discrete Element Models for Large Scale Par...

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第二届全国颗粒材料计算力学会议(CMGM-2014)

作者： y.t.feng Zienkiewicz Centre for Computational Engineering(ZC2E) College of Engineering Swansea University

1 Introduction the last ten years have witnessed rapidly increasing research interest in the development of different particle based methods for a wide range of applications,As one of the dominant particle-based methods,the discrete element method(DEM)has become firmly established as the most powerful numerical technique to model many scientific and engineering problems involving particle/particulate phenomena since it was originated in the I970’*** DEM,in its classic form,represents individual(disjoint)physical particles as(rigid)elements which interact only along their *** significant

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非球形颗粒离散元接触模型和方法三十年发展概述

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Acta Mechanica Sinica 2023年第1期39卷 44-84页

作者：冯云田 Zienkiewicz Centre for Computational Engineering Faculty of Science and Engineering Swansea University Sketty UK

离散元方法(DEM)自1979年提出以来,在过去四十年中取得了显著的发展.本文旨在选择性地概述离散元方法中非球形颗粒接触模型和计算方法三十年来的主要进展,并更多地关注早期的发展.本综述主要关注接触模型的几何方面,不涉及与材料相关的... 详细信息

离散元方法(DEM)自1979年提出以来,在过去四十年中取得了显著的发展.本文旨在选择性地概述离散元方法中非球形颗粒接触模型和计算方法三十年来的主要进展,并更多地关注早期的发展.本综述主要关注接触模型的几何方面,不涉及与材料相关的物理问题.首先分类描述了非球形颗粒几何形状的各种表示方案,然后对几乎所有非球形颗粒接触模型和方法进行了系统性地梳理和讨论,除概述这些方法和模型的关键思想、主要概念以及原创性的计算方法外,还详细讨论了它们的演变和相互关系.最后还简要评述了每种方法可能存在的问题和未解决的问题,并指出可能的解决方案.

关键词：离散元方法几何形状接触模型非球形颗粒分类描述计算方法原创性发展概述

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