›› 2006, Vol. 27 ›› Issue (S1): 207-210.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Analytical solution of subsidiary stress field for circular tunnel

WANG Ming-bin1, 2, LI Shu-cai1, LI Shu-chen1, WANG Zhao-qing1, 2   

  1. 1.School of Science, Shandong University of Architecture, Jinan 250101, China; 2.School of Civil and Hydraulic Engineering, Shandong University, Jinan 250061, China
  • Received:2006-06-25 Published:2006-12-15

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Abstract: The subsidiary stress problem of rock surrounding a circular tunnel is researched. Considering the stress-deformation characteristic of the total field, and applying the technique of series expansion, the appropriate stress functions are constructed. Accordingly, the complex potentials of the rock mass are obtained. The numerical results indicate that the orientations of the occurrence of severe stress concentration are unnecessarily near the hole, and the orientations of the occurrence of weak stress concentration are unnecessarily apart from the hole. When the embedded depth of the tunnel is 5 times than the radius of the tunnel, it can be treated as a circular hole in infinite matrix.

Key words: circular tunnel, stress functions, the theory of complex potential, stress concentration

CLC Number: 

  • U 45
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