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Abstract
The implementation of closed-form solutions for stress and displacement fields around tunnels with arbitrary geometry, often based on the complex variable theory and the method of conformal mapping, can be quite challenging from a mathematical point of view. In this paper a solution strategy for the implementation of a chosen closed-form solution from literature is presented, including the possibility to account for rock mass anisotropy and arbitrary tunnel geometries. The evaluation of the involved elastic potential functions is described, respectively derivatives thereof,
in terms of solving non-linear constrained optimization problems. To validate our approach, the analytical results for stresses and displacements around a tunnel with semicircular geometry are compared to numerical results from finite element computations. The outcome of the study should be regarded as a basis for the development of refined analytical solutions within anisotropic rock
masses considering more realistic boundary conditions and effects such as material non-linearity.
in terms of solving non-linear constrained optimization problems. To validate our approach, the analytical results for stresses and displacements around a tunnel with semicircular geometry are compared to numerical results from finite element computations. The outcome of the study should be regarded as a basis for the development of refined analytical solutions within anisotropic rock
masses considering more realistic boundary conditions and effects such as material non-linearity.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 15th International ISRM Congress 2023 & 72nd Geomechanics Colloquium |
| Subtitle of host publication | Challenges in Rock Mechanics and Rock Engineering |
| Editors | Wulf Schubert, Alexander Kluckner |
| Place of Publication | Salzburg |
| Publisher | Austrian Society for Geomechanics |
| Pages | 2031-2036 |
| Number of pages | 6 |
| ISBN (Electronic) | 978-3-9503898-3-8 |
| Publication status | Published - 10 Oct 2023 |
| Event | 15th ISRM Congress 2023 & 72nd Geomechanics Colloquium: ISRM 2023 - Congress Salzburg, Salzburg, Austria Duration: 9 Oct 2023 → 14 Oct 2023 https://www.isrm2023.com/de/ |
Conference
| Conference | 15th ISRM Congress 2023 & 72nd Geomechanics Colloquium |
|---|---|
| Abbreviated title | ISRM 2023 |
| Country/Territory | Austria |
| City | Salzburg |
| Period | 9/10/23 → 14/10/23 |
| Internet address |
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Dive into the research topics of 'Comparison of analytical and numerical solutions for stresses and displacements around unlined tunnels with arbitrary cross section inside anisotropic rock masses'. Together they form a unique fingerprint.Activities
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Comparison of analytical and numerical solutions for stresses and displacements around unlined tunnels with arbitrary cross sections inside anisotropic rock masses
Manuel Winkler (Speaker)
13 Oct 2023Activity: Talk or presentation › Talk at conference or symposium › Science to science
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15th ISRM Congress 2023 & 72nd Geomechanics Colloquium
Manuel Winkler (Participant), Paul Johannes Unterlaß (Participant), Thomas Geisler (Participant), Thomas Marcher (Chair), Thomas Frühwirt (Chair), Philipp Dobita (Participant), Mario Wölflingseder (Participant), Vaibhav Shringi (Participant), Alla Sapronova (Participant), Anton Kaufmann (Participant), Manfred Blümel (Participant) & Abdallah Ahmed Fouad Elsayed Soliman (Participant)
10 Oct 2023 → 13 Oct 2023Activity: Participation in or organisation of › Conference or symposium (Participation in/Organisation of)