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Stress concentrations around horizontal circular tunnels

Horizontal circular tunnels lying in close proximity of one another in a uniform stress field represent a problem of three-dimensional stress distribution. The problem is solved using the frozen-stress technique

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Abstract

The problem of axial variation of stress concentrations at the periphery and normal to the axis of a circular tunnel is solved by means of the three-dimensional photoelasticity technique, under the following conditions:

  1. 1.

    The center lines of two horizontal tunnels of equal diameter (2r) are separated by a distanceK and include an angle α.

  2. 2.

    K and α assume values of 0, 3r, 7/2r, 4r and 30 deg, 60 deg, 90 deg, respectively.

  3. 3.

    The tunnels are located in a uniform, uniaxial stress field normal to the axes of the tunnels.

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Abbreviations

r :

radius of the tunnel

K :

distance between the horizontal center lines of the tunnels

α:

the angle between the horizontal projection of two tunnels

θ:

the orientation angle for the radius of the tunnel

References

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Agarwal, R., Boshkov, S. Stress concentrations around horizontal circular tunnels. Experimental Mechanics 8, 474–478 (1968). https://doi.org/10.1007/BF02327412

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  • DOI: https://doi.org/10.1007/BF02327412

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