3D Elastic Solutions for Laterally Loaded Discs: Generalised Brazilian and Point Load Tests

Serati, Mehdi; Alehossein, Habib; Williams, David J.

doi:10.1007/s00603-013-0449-9

Cited by 27 publications

(14 citation statements)

References 28 publications

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“…(2), one needs to first employ the coordinate-independent Papkovich-Neuber (PN) relation (4) in (r, θ, z) domain following the methodology discussed by Serati et al (Serati et al, 2013),…”

Section: A Non-uniform Contact Pressure Along the Thickness Of The Btsmentioning

confidence: 99%

“…(4) at r = r 0 . To this end, the method of separation of variables can be employed to reduce the resultant PDEs to ODEs (Serati et al, 2013). It follows that φ takes the form:…”

Section: A Non-uniform Contact Pressure Along the Thickness Of The Btsmentioning

confidence: 99%

“…This, in return, requires a three-dimensional (3D) theoretical framework to improve and enhance the current 2D solutions. Referring to little research results available on the application of 3D theories relevant to the Brazilian test (Serati et al, 2013;Wei and Chau, 2013), this note aims to study the 3D boundary effect of contact pressure along the axial direction. To pursue the objectives, the analytical recipe presented by Serati et.…”

Section: Introductionmentioning

confidence: 99%

“…To pursue the objectives, the analytical recipe presented by Serati et. al (Serati et al, 2013) for the stress analysis of 3D cylinders under arbitrary surface loads is followed due to its ease in introducing a complex boundary condition at contacts using the double Fourier expansion technique.…”

Section: Introductionmentioning

confidence: 99%

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The Brazilian Disc Test Under a Non-Uniform Contact Pressure Along Its Thickness

2015

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List of Symbols FApplied force at failure in a Brazilian testThe modified Bessel function of the first kind of order m and the non-negative argument γ n r 2L, r 0Thickness and radius of a Brazilian disc specimen m, n, B mn , D mn Constants P Total load per radial length applied on the lateral curved surface of a Brazilian disc 2αContact loading angle in a Brazilian disc r, θ, z Polar coordinates x, y, z Cartesian coordinates σ rr Radial stress components in cylindrical coordinates φ (r,θ,z) , ψ (ψr,ψ θ ,ψz)

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“…(2), one needs to first employ the coordinate-independent Papkovich-Neuber (PN) relation (4) in (r, θ, z) domain following the methodology discussed by Serati et al (Serati et al, 2013),…”

Section: A Non-uniform Contact Pressure Along the Thickness Of The Btsmentioning

confidence: 99%

“…(4) at r = r 0 . To this end, the method of separation of variables can be employed to reduce the resultant PDEs to ODEs (Serati et al, 2013). It follows that φ takes the form:…”

Section: A Non-uniform Contact Pressure Along the Thickness Of The Btsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Brazilian Disc Test Under a Non-Uniform Contact Pressure Along Its Thickness

2015

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“…Whilst some researchers simplify the problem by representing the load as a uniformly distributed radial load : Erarslan & Williams, 2011: Gheibi et al, 2015: Komurlu et al, 2016: Serati et al, 2013, other research provides more rigorous approaches where the applied load is represented as a parabolically distributed load (Kourkoulis et al, 2012: Markides & Kourkoulis, 2011. Whereas analytically described the load as varying by a sinusoidal law the outcome of the research concluded that the far field stress states remain generally similar.…”

Section: Multipoint Brazilian Testmentioning

confidence: 99%

Computational modelling of rock fracture during annular Brazilian testing

Mircea-Mihai¹

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Prepared by Mircea-Mihai Mihet 02/11/2016ACKNOWLEDGEMENTS I firstly would like to acknowledge Christopher Leonardi (my supervisor), as without his help I would not have achieved even a fraction of the work that I have. His knowledge in the field and general wisdom has been an invaluable resource and I thank him greatly. I would also like to acknowledge Mehdi Serati who conducted the annular Brazilian experiments for which the models in this paper are based on. Furthermore, acknowledgement should definitely be given to my mother and father who give me the financially means and encouragement to live in Brisbane to attend UQ. i ABSTRACTThe aim of this research paper is to investigate the efficacy of combined FEM/DEM modelling for accurately representing complex stress states and fracture processes. The necessity for this is significant when taking into consideration the range of applications that can benefit from accurately modelling complex stress states and fracture mechanisms. There are direct benefits to the mining and geotechnical industry by being able to confidently simulate large-scale real-world scenarios for which complex stress states and fracture processes must be modelled. To achieve this, a suite of five, 2D FEM/DEM models was suggested based on experimental annular Brazilian tests with quantitative and qualitative outputs for comparison to the experimental data (peak loads and fracture paths). The annular Brazilian test was specifically chosen due to the lack of research in the field of computational modelling of the method, the complex distribution of stresses during loading, the unique fracture mechanisms that follow, and the availability of experimental data and highspeed fracture footage.Three preliminary models were initially conducted on two sample geometries (models 1 and 2 having an inner to outer hole diameter ratio of 0.13 and model 3 having a ratio of 0.5) to validate the code's ability to represent the fractures based on expected outcomes and to investigate the effects of scaling density for increasing computational speed. From the preliminary investigation it was determined that the code could deliver the expected outcomes, though density scaling should be avoided due to its effects on fracture propagation. These models, however, were not compared to the experimental data as they were conducted for an arbitrary coal material for faster fracturing, not the materials used during experimentation.Although there was an initial aim to complete five final models based on the experimental data, only three managed to be (partially) completed. From these models it was evident that the high loading rate caused violent fracturing rather than tensile splitting. However, the preferential fracture planes were consistent with what was observed during experimentation. The peak loads however were not, and this was likely due to the un-even distribution of stresses observed due to the high loading rate. From the models developed in this study the code's efficacy is inconclusive as not enough models were in...

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Computational Verification of the Optimum Boundary Condition of the Brazilian Tensile Test

et al. 2018

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The present research analyses the configuration of jaws to avoid the premature failure of the disc in the Brazilian test. The objective is to depict the loading device configuration that most likely produces results comparable to the Hondros' analytical stress solution. To this end, several numerical analyses have been carried out for different contact angles with the Finite Element Method. It was deduced that the final contact angle plays an important part in the success of the Brazilian test and that the Griffith criterion can be fulfilled if the equivalent stress is calculated. Additionally, the orientation of the forces in the contact between the loading device and the disc has been studied for different friction conditions. According to the numerical results, it was found that a loading arc configuration of 20º shows the best agreement with the probable values given by the analytical stress model when the uncertainty of its magnitudes is taken into account. The study also demonstrates that the friction in the contact between the optimal loading configuration and the disc does not seem to significantly affect the theoretical predictions in the centre of the disc.

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3D Elastic Solutions for Laterally Loaded Discs: Generalised Brazilian and Point Load Tests

Cited by 27 publications

References 28 publications

The Brazilian Disc Test Under a Non-Uniform Contact Pressure Along Its Thickness

The Brazilian Disc Test Under a Non-Uniform Contact Pressure Along Its Thickness

Computational modelling of rock fracture during annular Brazilian testing

Computational Verification of the Optimum Boundary Condition of the Brazilian Tensile Test

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