T -stress for a centrally cracked Brazilian disk under confining pressure

Hua, Wen; Li, Yifan; Dong, Shiyun; Li, Nianbin; Wang, Hongtao

doi:10.1016/j.engfracmech.2015.09.048

Cited by 49 publications

(29 citation statements)

References 21 publications

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“…Because the vertical load is applied in a narrow range of the disc using the above methods, crack initiation may occur at the position of the loading points, which may produce inaccurate results (Fairhurst, 1964;Mellor and Hawkes, 1971). To determine the tensile strength of brittle materials more precisely, discs with different shapes (Fowell, 1995;Lambert and Ross, 2000;Tong et al, 2007;Dai et al, 2010;Keles and Tutluoglu, 2011;Cai, 2013;Surendra, 2013;Hua et al, 2015;Riazi et al, 2015;Lin et al, 2015Lin et al, , 2016 have been proposed, including ring specimens that are placed under a pair of radial loads (Hobbs, 1964;Hudson, 1969). Significant stress and steep stress gradients appear in the specimens, which causes initiation and propagation of the resulting cracks (Wang et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

Influences of the diameter and position of the inner hole on the strength and failure of disc specimens of sandstone determined using the Brazilian split test

Zhu

Huang

2019

Journal of Theoretical and Applied Mechanics

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The Brazilian split test on a centrally holed disc (referred to as a ring-disc specimen) is an important indirect method for determining the tensile strength of rock. This paper studies the effect of the diameter d of the center hole and its position, defined by the eccentricity b and the inclination angle of the eccentric hole, on the peak load, failure pattern and horizontal stress of the disc specimen via laboratory experiments and numerical modeling using the finite element method (FEM). Static Brazilian split tests are conducted on an intact disc and three types of holed discs: C-specimens containing a central hole with different diameters, EH-specimens with a horizontally eccentric hole and ER-specimens with a rotationally eccentric hole.

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Section: Introductionmentioning

confidence: 99%

Influences of the diameter and position of the inner hole on the strength and failure of disc specimens of sandstone determined using the Brazilian split test

Zhu

Huang

2019

Journal of Theoretical and Applied Mechanics

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“…Dong et al 30 presented closed-form solutions of the mixed mode SIFs for CCBD specimens with arbitrary crack lengths and loading angles. More recently, an analytical solution of the T-stress in CCBD specimens was also deduced by Hua et al 31 using the weight function method. Figure 6 shows a CCBD specimen with a radius R and thickness t subjected to a pair of concentrated forces P. The length of crack in the Brazilian disc is 2a, and the relative angle of the loading direction and crack line is represented by β, which is usually called the loading angle.…”

Section: Fracture Parameters For Central Cracked Brazilian Disc Specimentioning

confidence: 99%

“…where T I * and Y I0 are, respectively, the dimensionless T-stress and SIF for pure mode I loading. It should be mentioned that the dimensionless T-stress (T*) in Eqs (16) and (17) is calculated according to the formula given by Hua et al 31 The numerical values of T* for various loading angles are different for a same relative crack length (see Fig. 7).…”

Section: Fracture Parameters For Central Cracked Brazilian Disc Specimentioning

confidence: 99%

Mixed mode fracture analysis of CCBD specimens based on the extended maximum tangential strain criterion

Hua

Dong

Pan

et al. 2017

Fatigue Fract Eng Mat Struct

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The maximum tangential strain (MTSN) criterion has been modified to include the effects of T‐stress and stress intensity factors in conditions of both plane stress and plane strain. Further, both the T‐stress and Poisson's ratio affecting the crack propagation are also discussed according to the extended MTSN (EMTSN) criterion, which is a modified MTSN criterion. Finally, the generalized maximum tangential stress (GMTS) criterion and the EMTSN criterion are used to predict the test results obtained with central cracked Brazilian disc (CCBD) specimens. The results indicate that the T‐stress and Poisson's ratio have a remarkable influence on the mixed mode fracture resistance based on the EMTSN criterion. Theoretical values of both the EMTSN and the GMTS criteria are in very good agreement with the test results. Moreover, the EMTSN criterion provides a better prediction for pure mode II.

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“…Analytical solution of T-stress is confined to simple geometry and loading configurations. Recently, Hua et al 6 presented an analytical formula for calculating the Tstress in a centrally cracked Brazilian disc (BD) under both diametric forces and confining pressure using the weight function method. Berto and Lazzarin 7,8 discussed the influence of T term on the stress field of welded lap joint and plate with central crack and, theoretically, implemented an accurate analysis of T-stress component.…”

Section: N O M E N C L a T U R Ementioning

confidence: 99%

“…Recently, Hua et al 6 presented an analytical formula for calculating the Tstress in a centrally cracked Brazilian disc (BD) under both diametric forces and confining pressure using the weight function method. Analytical solution of T-stress is confined to simple geometry and loading configurations.…”

Section: Introductionmentioning

confidence: 99%

On the I–II mixed mode fracture of granite using four‐point bend specimen

Wang

Zhu

Liu

2016

Fatigue Fract Eng Mat Struct

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Four‐point bend experiments on black granite are conducted. The fracture behaviours of granite under pure mode I, pure mode II and I–II mixed mode are investigated, and the corresponding stress intensity factors KI , KII and the non‐singular term T‐stress are obtained through numerical–experimental method. The results are compared with the theoretical predictions of generalized maximum tangential stress criterion and other conventional criteria. It shows that generalized maximum tangential stress criterion fits the experimental results better for considering the effect of T‐stress. Contrasting with other loading configurations, the values of T‐stress for asymmetric four‐point bend specimens are much smaller, especially for pure mode II specimens, which provide an asymmetric deformation field where the T‐stress is approaching zero.

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T -stress for a centrally cracked Brazilian disk under confining pressure

Cited by 49 publications

References 21 publications

Influences of the diameter and position of the inner hole on the strength and failure of disc specimens of sandstone determined using the Brazilian split test

Influences of the diameter and position of the inner hole on the strength and failure of disc specimens of sandstone determined using the Brazilian split test

Mixed mode fracture analysis of CCBD specimens based on the extended maximum tangential strain criterion

On the I–II mixed mode fracture of granite using four‐point bend specimen

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