Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems

Oñate, Eugenio; Rojek, Jerzy

doi:10.1016/j.cma.2003.12.056

Cited by 231 publications

(118 citation statements)

References 26 publications

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“…13 Correlations between measured and predicted RQD values individual elements, but more complex shapes have also been introduced by Karrech et al (2008), Tao et al (2010), Lu et al (2015). As discontinuities/ fragmentation in DEM can be produced through the loss of adhesive contact between the particles, the DEM has been regarded by some researchers as an effective tool for modelling of rocks undergoing cracking/fragmentation (Onate and Rojek 2004;Azevedo and Lemos 2006;Komoroczi et al 2013) and layered and granular geological materials (Kruggel-Emden et al 2007;Buechler et al 2013). One of the key difficulties is that the desired macroscopic constitutive behaviour cannot be defined directly, but needs to be obtained by formulating an appropriate contact (force-displacement and damping or friction) law that governs interactions between the particles.…”

Section: Discrete Element Methodsmentioning

confidence: 99%

Computational monitoring in real time: review of methods and applications

Dyskin

Başarır

Doherty

et al. 2018

Geomech. Geophys. Geo-energ. Geo-resour.

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Continuous monitoring of mechanical parameters determining the state of natural and manmade systems is essential in a wide range of engineering disciplines from mechanical to civil and geotechnical engineering. To be effective, the monitoring response time needs to be commensurate with the characteristic time of variation of the processes being monitored e.g. from seconds as for example in some machinery, to weeks and months for mining excavations and years in the case of structures. The methods of measurement can therefore differ significantly for different applications. In spite of this, the methods of information processing-the computational monitoring-have considerable commonality. This review focuses on the methods of computational monitoring in solid and structural mechanics problems in different engineering applications. The traditional methods of monitoring are reviewed along with the corresponding computational and measurement methods. The basic principles of the computational monitoring in real time are established.

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Section: Discrete Element Methodsmentioning

confidence: 99%

Computational monitoring in real time: review of methods and applications

Dyskin

Başarır

Doherty

et al. 2018

Geomech. Geophys. Geo-energ. Geo-resour.

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“…Recently several authors have proposed to model with simple contact laws the observed constitutive behaviour of geomaterials and other granular materials [9,10,11,12,13] and [14]. However with such models the softening behaviour has not been obtained at constitutive level.…”

Section: Introductionmentioning

confidence: 98%

Modelling of cutting tool – soil interaction – part II: macromechanical model and upscaling

Nardin

Schrefler

2005

Comput Mech

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In the foregoing paper we have proposed a strategy for soil modelling based on the discrete approach. By considering the soil as an assembly of rigid disks we have developed a local model. The model concentrates at the contact level between the disks the real mechanical behaviour of the soil. For this purpose suitable contact models have been developed, where specific elasto-plastic laws have been implemented in the node-to-segment contact formulation. In this second part after investigating the mechanical behaviour of the local model we reproduce, with an assembly of disks (global model), the real behaviour of stiff soils and rocks under standard loading paths. The change of scale from the local to global level is carried out through dimensional analysis. The behaviour of different soils is simulated by regular and irregular monodisperse packings of disks and compared with real laboratory tests.

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“…To bridge the gap between two scales, the concept of a representative volume element is applied [14,15]. There is also another approach combining the rigid sphere (circle) discrete elements with the finite elements [16][17][18][19][20][21][22][23][24][25][26]. Here, the calculation domain is divided into many sub-domains to calculate by using DEM and FEM respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Here, the calculation domain is divided into many sub-domains to calculate by using DEM and FEM respectively. For example, Oñate analyzed the rock cutting process by using a combined method, where the tool was modelled with linear triangle finite elements and the rock sample was modelled with circle discrete elements [18]; in Qu's work [16], the failure response of a pre-stressed aluminum plate under laser irradiation was simulated, where the adjacent region of the failure area was solved by DEM, and the rest was calculated by FEM.…”

Section: Introductionmentioning

confidence: 99%

An approach to combining 3D discrete and finite element methods based on penalty function method

Lei

Miao

2010

Comput Mech

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An algorithm combining three-dimensional (3D) discrete and finite element methods is proposed. This new approach is conducted by decomposing the calculation domain into a finite element (FE) calculation domain and a discrete element (DE) calculation domain; the interaction between the two sub-domains is processed by using a penalty function method. Following the established model that combines spherical DEs and FEs, the corresponding numerical code is developed. The vibration process of two cantilever beams under dynamic force is simulated. By comparing the results calculated with different penalty factors set and also with that calculated by the finite element code LS-DYNA, it is found that the calculated results are unanimous and the precision is almost the same as LS-DYNA, as long as the penalty factor is large enough. Moreover, the vibration processes of two plates under impact of rigid spheres are simulated and the accuracy of the model proposed in this paper is further proved in the field of contact mechanics by comparing the simulating results with that calculated by using LS-DYNA. Finally, the impact fracture behavior of a laminated glass plate is simulated, with the influence of model parameters taken into consideration. And the numerical experiments show that the combined model can be used to predict some macroscopical physical quantities, such as the impact force of impactor.

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Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems

Cited by 231 publications

References 26 publications

Computational monitoring in real time: review of methods and applications

Computational monitoring in real time: review of methods and applications

Modelling of cutting tool – soil interaction – part II: macromechanical model and upscaling

An approach to combining 3D discrete and finite element methods based on penalty function method

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