Upper bound solution of surrounding rock pressure of shallow tunnel under nonlinear failure criterion

来源期刊:中南大学学报(英文版)2019年第7期

论文作者:张道兵 马宗宇 蔚彪 尹华东

文章页码:1696 - 1705

Key words:nonlinear Baker failure criterion; face; stability; limit analysis method; pressure of surrounding rock

Abstract: The nonlinear Baker failure criterion is introduced into the upper-bound limit analysis to examine the face stability of a shallow tunnel. The tunnel face under the ultimate limit state is analyzed from the perspective of energy balance. The work rates of external forces and internal energy dissipation are calculated. An analytical solution of necessary face pressures is derived. The optimal upper-bound solution of the face pressures is obtained by optimization. The results show that the three dimensionless parameters A, T, n of nonlinear Baker failure criterion have different effects on the necessary face pressures and the pattern failure mechanisms ahead of tunnel face. A is the most important one; n takes the second place, and T is the least one. The computed necessary face pressures are nonlinearly increasing when A is reduced. Combined with the actual monitoring data of Taxia tunnel, the calculation results in this paper is verified. It is suggested that the tunnel face supports should be strengthened timely in soft rocks to prevent the occurrence of face collapse.

Cite this article as: ZHANG Dao-bing, MA Zong-yu, YU Biao, YIN Hua-dong. Upper bound solution of surrounding rock pressure of shallow tunnel under nonlinear failure criterion [J]. Journal of Central South University, 2019, 26(7): 1696-1705. DOI: https://doi.org/10.1007/s11771-019-4126-3.

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