Research Article
Jan 1940
Stress Distribution around a Tunnel
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VIEW THE REPLYPublication: Transactions of the American Society of Civil Engineers
Volume 105, Issue 1
Abstract
The problem of the disturbance of stress around a tunnel is treated in this paper from the point of view of the theory of elasticity. The tunnel is considered to be a horizontal cylindrical hole of circular cross-section situated in a semi-infinite elastic solid under the action of gravity. Through the introduction of the bipolar co-ordinate system an exact solution of the classical elasticity equations is obtained which satisfies the boundary conditions at both the upper free surface of the solid and the free surface of the hole.
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Published In
Transactions of the American Society of Civil Engineers
Volume 105 • Issue 1 • January 1940
Pages: 1117 - 1140
Copyright
© 1940 American Society of Civil Engineers.
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Published in print: Jan 1940
Published online: Feb 10, 2021
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Authors
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Raymond D. Mindlin, AM.ASCE
Instr., Dept. of Civ. Eng., Columbia Univ., New York, N. Y.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.