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CLC number: TU452; TU9

On-line Access: 2010-01-01

Received: 2009-05-18

Revision Accepted: 2009-06-03

Crosschecked: 2009-12-08

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Journal of Zhejiang University SCIENCE A 2010 Vol.11 No.2 P.71-79

10.1631/jzus.A0900292


Unified analytical solutions for a circular opening based on non-linear unified failure criterion


Author(s):  Chang-guang ZHANG, Qing-he ZHANG, Jun-hai ZHAO, Fei XU, Chuang-zhou WU

Affiliation(s):  MOE Key Laboratory of Geotechnical and Underground Engineering, Tongji University, Shanghai 200092, China; more

Corresponding email(s):   zcg1016@163.com

Key Words:  Analytical solution, Elastic-brittle-plastic rock, Non-linear unified failure criterion, Intermediate principal stress, Dilatancy


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Chang-guang ZHANG, Qing-he ZHANG, Jun-hai ZHAO, Fei XU, Chuang-zhou WU. Unified analytical solutions for a circular opening based on non-linear unified failure criterion[J]. Journal of Zhejiang University Science A, 2010, 11(2): 71-79.

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doi="10.1631/jzus.A0900292"
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%T Unified analytical solutions for a circular opening based on non-linear unified failure criterion
%A Chang-guang ZHANG
%A Qing-he ZHANG
%A Jun-hai ZHAO
%A Fei XU
%A Chuang-zhou WU
%J Journal of Zhejiang University SCIENCE A
%V 11
%N 2
%P 71-79
%@ 1673-565X
%D 2010
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0900292

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A1 - Chang-guang ZHANG
A1 - Qing-he ZHANG
A1 - Jun-hai ZHAO
A1 - Fei XU
A1 - Chuang-zhou WU
J0 - Journal of Zhejiang University Science A
VL - 11
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SP - 71
EP - 79
%@ 1673-565X
Y1 - 2010
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0900292


Abstract: 
Unified analytical solutions are presented for the predictions of the stresses and displacements around a circular opening based on non-linear unified failure criterion and the elastic-brittle-plastic softening model. Unified analytical solutions not only involve generally traditional solutions which are based on the Hoek-Brown (H-B) failure criterion or the non-linear twin-shear failure criterion, but also involve other new results. The results of the radius of plastic zone, radial displacements and stresses are obviously different using three rock masses when different values of the unified failure criterion parameter or different material behavior models are used. For a given condition, the radius of plastic zone and radial displacements are reduced by increasing the unified failure criterion parameter. The latent potentialities of rock mass result from considering the effect of intermediate principal stress. It is shown that proper choices of the failure criterion and the material behavior model for rock mass are significant in the tunnel design.

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Reference

[1] Carranza-Torres, C., 2004. Elasto-plastic solution of tunnel problem using the generalized form of the Hoek-Brown failure criterion. International Journal of Rock Mechanics and Mining Sciences, 41(3):480-481.

[2] Colmenares, L.B., Zoback, M.D., 2002. A statistical evaluation of intact rock failure criteria constrained by polyaxial test data for five different rocks. International Journal of Rock Mechanics and Mining Sciences, 39(6):695-729.

[3] Haimson, B.C., Chang, C., 2000. A true triaxial cell for testing mechanical properties of rock, and its use to determine rock strength and deformability of Westerly granite. International Journal of Rock Mechanics and Mining Sciences, 37(1-2):285-296.

[4] Hoek, E., Brown, E.T., 1997. Practical estimates of rock mass strength. International Journal of Rock Mechanics and Mining Sciences, 34(8):1165-1186.

[5] Hoek, E., Carranza-Torres, C., Corkum, B., 2002. Hoek-Brown Failure Criterion-2002 Edition. Proceedings of the North American Rock Mechanics Symposium, Toronto, p.1267-1273.

[6] Lee, Y.K., Ghosh, J., 1996. The significance of J3 to the prediction of shear bands. International Journal of Plasticity, 12(9):1179-1197.

[7] Li, J.C., Ma, G.W., Yu, M.H., 2008. Penetration analysis for geo-material based on unified strength criterion. International Journal of Impact Engineering, 35(10):1154-1163.

[8] Luo, Z.Y., Zhu, X.R., Gong, X.N., 2007. Expansion of spherical cavity of strain-softening materials with different elastic moduli of tension and compression. Journal of Zhejiang University SCIENCE A, 8(9):1380-1387.

[9] Park, P.H., Kim, Y.J., 2006. Analytical solution for a circular opening in an elastic-brittle-plastic rock. International Journal of Rock Mechanics and Mining Sciences, 43(4):616-622.

[10] Sharan, S.K., 2003. Elastic-brittle-plastic analysis of circular openings in Hoek-Brown media. International Journal of Rock Mechanics and Mining Sciences, 40(6):817-824.

[11] Sharan, S.K., 2005. Exact and approximate solutions of displacements around circular openings in elastic-brittle-plastic Hoek-Brown rock. International Journal of Rock Mechanics and Mining Sciences, 42(4):542-549.

[12] Sharan, S.K., 2008. Analytical solutions for stresses and displacements around a circular opening in a generalized Hoek-Brown rock. International Journal of Rock Mechanics and Mining Sciences, 45(1):78-85.

[13] Tu, Z.R., Yuan, Q., Shen, Q.M., Wang, X.W., 2008. Determination of rock resistant coefficient based on Mohr-Coulomb criterion for underwater tunnel. Journal of Zhejiang University SCIENCE A, 9(9):1239-1244.

[14] Wang, Y., 1996. Ground response of circular tunnel in poorly consolidated rock. Journal of Geotechnical Engineering, ASCE, 122(9):703-710.

[15] Xu, D.J., Geng, N.G., 1985. The variation law of rock strength with intermediate principal stress. Acta Mechanica Solida Sinica (Gu Ti Li Xue Xue Bao), 6(1):72-80 (in Chinese).

[16] Xu, S.Q., Yu, M.H., 2005. Shakedown analysis of thick-walled cylinders subjected to internal pressure with the unified strength criterion. International Journal of Pressure Vessels and Piping, 82(9):706-712.

[17] Yu, M.H., 1994. Unified strength theory for geomaterials and its application. Chinese Journal of Geotechnical Engineering (Yan Tu Gong Cheng Xue Bao), 16(2):1-9 (in Chinese).

[18] Yu, M.H., 1998. Two-shear Theory and Its Application. Science Press, Beijing, p.249-287 (in Chinese).

[19] Yu, M.H., 2002. Advance in strength theories of materials under the complex stress state in the 20th century. Applied Mechanics Reviews, 55(3):169-218.

[20] Yu, M.H., Yang, S.Y., Fan, S.C., Ma, G.W., 1999. Unified elasto-platic associated and non-associated constitutive model and its engineering applications. Computer and Structures, 71(6):627-636.

[21] Yu, M.H., Zan, Y.W., Zhao, J., Yoshimine, M., 2002. A unified strength criterion for rock material. International Journal of Rock Mechanics and Mining Sciences, 39(8):975-989.

[22] Zhang, C.G., Zhao, J.H., Wei, X.Y., 2008. Investigation the stress field and displacement field on the frozen wall based on the unified strength theory. Chinese Journal of Underground Space and Engineering (Di Xia Kong Jian Yu Gong Cheng Xue Bao), 4(3):465-469 (in Chinese).

[23] Zhang, L., 2008. A generalized three-dimensional Hoek-Brown strength criterion. Rock Mechanics and Rock Engineering, 41(6):893-915.

[24] Zhao, J.H., Zhai, Y., Ji, L., Wei, X.Y., 2007. Unified solutions to the limit load of thick-walled vessels. Journal of the Pressure Vessel Technology, 129(4):670-675.

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