Programming the Finite Element Method

Smith, I. M.; Griffiths, D. V.; Margetts, Lee

doi:10.1002/9781119189237

Cited by 123 publications

(142 citation statements)

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“…DCFEM is more effective in the most critical, vital, potentially dangerous areas of structure in terms of fracture (areas of the so-called edge effects), where some components of solution are rapidly changing functions and their rate of change in many cases cannot be adequately taken into account by the standard FEM [1,2,[11][12][13][14][15][16][17][18]. …”

Section: Figurementioning

confidence: 99%

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Combined application of finite element method and discrete-continual finite element method

Negrozov¹,

Akimov²

2017

AIP Conference Proceedings

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Section: Figurementioning

confidence: 99%

“…The right subdomain is approximated by finite elements (within FEM [1,2,[11][12][13][14][15][16][17][18]) and the left subdomain is approximated by discrete-continual finite elements (within DCFEM [3][4][5][6]7,8]). Elasticity modulus of material of structure is equal to 3000 E kN/cm 2 .…”

Section: Figurementioning

confidence: 99%

Combined application of finite element method and discrete-continual finite element method

Negrozov¹,

Akimov²

2017

AIP Conference Proceedings

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“…In order to test this hypothesis, the open source software ParaFEM [9] is being extended to interface with third party software libraries that can generate spatially variable 3D random fields for any material property.…”

Section: Sfem For Fission Nuclear Reactors Materialsmentioning

confidence: 99%

The Stochastic Finite Element Method for Nuclear Applications

Mena¹,

Margetts²,

Evans³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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“…The transition from plastic compressibility to plastic dilation is described by a non-associated flow rule. The plastic flow rule is controlled by the plastic potential which is given by the same equation as the failure surface but with the friction angle replaced by the dilation angle (Smith and Griffiths 2005;Fjaer et al 2008). It is expressed as…”

Section: Introductionmentioning

confidence: 99%

“…The plastic strain increment is calculated from the following expression (Owen and Hinton 1980;Smith and Griffiths 2005) …”

Section: Introductionmentioning

confidence: 99%

3D finite element modelling of multilateral junction wellbore stability

Mohamad-Hussein

Heiland

2018

Pet. Sci.

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Wellbore failure can occur at different stages of operations. For example, wellbore collapse might happen during drilling and/or during production. The drilling process results in the removal of an already stressed rock material. If the induced stresses near the wellbore exceed the strength of rock, wellbore failure occurs. The production process also changes the effective stresses around the wellbore. Such changes in stresses can be significant for high drawdown pressures and can trigger wellbore failure. In this paper, the Mohr-Coulomb failure criterion with a hyperbolic hardening is used. The model parameters are identified from triaxial compression tests. The numerical simulations of laboratory tests showed that the model can reproduce the mechanical behaviour of sandstone. In addition, the simulations of multilateral junction stability experiments showed that the model was able to reproduce yielding and failure at the multilateral junction for different levels of applied stresses. Finally, a numerical example examining multilateral junction stability in an open borehole during drilling and production is presented. The results illustrate the development of a localized failure zone proximate to the area where two wellbore tracks join, particularly on the side with a sharp approaching angle, which would significantly increase the risk of wellbore collapse at the junction.

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Programming the Finite Element Method

Cited by 123 publications

References 0 publications

Combined application of finite element method and discrete-continual finite element method

Combined application of finite element method and discrete-continual finite element method

The Stochastic Finite Element Method for Nuclear Applications

3D finite element modelling of multilateral junction wellbore stability

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