2015
DOI: 10.1007/s00603-015-0773-3
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The Brazilian Disc Test Under a Non-Uniform Contact Pressure Along Its Thickness

Abstract: 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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Cited by 11 publications
(4 citation statements)
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“…The influence of the contact friction and the radii ratios between disc and jaw in the stress field of the disc has also been analysed (Markides and Kourkoulis 2016). Other research works include analytical methods by revising the initial models with correction factors (Huang et al 2014;Lin et al 2016) or by applying elasticity principles in the contact area or along the disc length (Claesson and Bohloli 2002;Markides et al 2011;Markides and Kourkoulis 2012;Serati et al 2014Serati et al , 2016.…”
Section: Introductionmentioning
confidence: 99%
“…The influence of the contact friction and the radii ratios between disc and jaw in the stress field of the disc has also been analysed (Markides and Kourkoulis 2016). Other research works include analytical methods by revising the initial models with correction factors (Huang et al 2014;Lin et al 2016) or by applying elasticity principles in the contact area or along the disc length (Claesson and Bohloli 2002;Markides et al 2011;Markides and Kourkoulis 2012;Serati et al 2014Serati et al , 2016.…”
Section: Introductionmentioning
confidence: 99%
“…Bulk sandstone cubes were extracted from a quarry in Queensland, Australia, cut into 50 mm-sized cubes, ground on all six faces to ensure their smoothness and perpendicularity, and oven-dried at 50°C for 24 hr before testing, based on past studies [35,36,37]. A multi-functional true triaxial testing facility is available in the Geotechnical Engineering Centre (GEC) at The University of Queensland, with the ability to conduct three-dimensional loading through orthogonal loading platens in the direction of major (𝜎 1 ), intermediate (𝜎 2 ) and minor (𝜎 3 ) principal stresses, measure rock permeability with up to 10 MPa pressure, hydraulic fracture up to 52 MPa hydraulic pressure, coupled thermo-mechanical testing with an elevated temperature up to 100°C, and designed to accommodate AE and ultrasonic for the assessment of progressive damage [38,39] (Figure 2).…”
Section: Methodsmentioning
confidence: 99%
“…One can also define a complete three-dimensional (3D) stress-strain tensor for any arbitrary point inside a 3D Brazilian disc using Airy stress functions, displacement potentials, and double Fourier series techniques [16][17][18]. When loaded under a biaxial stress state with a ratio of lateral to vertical force of k, the central stress can be written in terms of Equation (3) using the principle of superposition.…”
Section: Theoretical Frameworkmentioning
confidence: 99%