Analytic Method of Stress Analysis for an Orthotropic Rock Mass with an Arbitrary-Shaped Tunnel
Publication: International Journal of Geomechanics
Volume 15, Issue 4
Abstract
Rock mass often exhibits anisotropic properties. Even isotropic rocks will behave anisotropically if cut by regular joint sets. Many rock masses can be regarded as orthogonal anisotropic linear elastic bodies. To date, there is no analytic method available to determine the stresses in an arbitrary-shaped tunnel (except for elliptic holes and circles) in an orthogonal anisotropic rock mass under the action of in situ stresses. To obtain analytical solutions, the conformal transformation method is used, in which with three polar coordinates are introduced. By introducing the power series method, a new analytic method used to determine stresses in an orthogonal anisotropic rock mass with an arbitrary-shaped tunnel is proposed. The analytic solutions are verified by numerical analyses using computer simulation software.
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Acknowledgments
The study is supported by the Natural Science Foundation of China (Grant No. 11172101) and the Fundamental Research Funds for the Central Universities (Grant No. NCEPU13QN20).
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Information & Authors
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Published In
International Journal of Geomechanics
Volume 15 • Issue 4 • August 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Oct 14, 2013
Accepted: Apr 11, 2014
Published online: May 16, 2014
Published in print: Aug 1, 2015
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