Analytical Solution of a Circular Opening considering Nonuniform Pressure and Its Engineering Application
Based on the Mohr–Coulomb criterion, a new analytical solution of a circular opening under nonuniform pressure was presented, which considered rock dilatancy effect and elastic-brittle-plastic failure characteristics. In the plastic zone, the attenuation of Young’s modulus was considered using a rad...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/8828917 |
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| _version_ | 1832567879572127744 |
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| author | Peng Wu Yanlong Chen Liang Chen Xianbiao Mao Wei Zhang |
| author_facet | Peng Wu Yanlong Chen Liang Chen Xianbiao Mao Wei Zhang |
| author_sort | Peng Wu |
| collection | DOAJ |
| description | Based on the Mohr–Coulomb criterion, a new analytical solution of a circular opening under nonuniform pressure was presented, which considered rock dilatancy effect and elastic-brittle-plastic failure characteristics. In the plastic zone, the attenuation of Young’s modulus was considered using a radius-dependent model (RDM), and solution of the radius and radial displacement of plastic zone was obtained. The results show that many factors have important impact on the response of the surrounding rock, including lateral pressure coefficient, dilation coefficient, buried depth, and Young’s modulus attenuation. Under nonuniform pressure condition, the distribution of plastic zone and deformation around the opening show obvious nonuniform characteristic: with the increasing of lateral pressure coefficient, the range of plastic zone and deformation decrease gradually at side, while they increase at roof and floor, and the location of the maximum value of support and surrounding rock response curve transfers from side to roof. Based on the analytical results and engineering practice, an optimization method of support design was proposed for the circular opening under nonuniform pressure. |
| format | Article |
| id | doaj-art-8c7ded611d4f4a738d4e1a6e561161f9 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-8c7ded611d4f4a738d4e1a6e561161f92025-02-03T01:00:20ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/88289178828917Analytical Solution of a Circular Opening considering Nonuniform Pressure and Its Engineering ApplicationPeng Wu0Yanlong Chen1Liang Chen2Xianbiao Mao3Wei Zhang4State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining & Technology, Xuzhou 221116, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining & Technology, Xuzhou 221116, ChinaState Key Laboratory of Coal Resources and Safe Mining, China University of Mining & Technology, Xuzhou 221116, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining & Technology, Xuzhou 221116, ChinaState Key Laboratory of Coal Resources and Safe Mining, China University of Mining & Technology, Xuzhou 221116, ChinaBased on the Mohr–Coulomb criterion, a new analytical solution of a circular opening under nonuniform pressure was presented, which considered rock dilatancy effect and elastic-brittle-plastic failure characteristics. In the plastic zone, the attenuation of Young’s modulus was considered using a radius-dependent model (RDM), and solution of the radius and radial displacement of plastic zone was obtained. The results show that many factors have important impact on the response of the surrounding rock, including lateral pressure coefficient, dilation coefficient, buried depth, and Young’s modulus attenuation. Under nonuniform pressure condition, the distribution of plastic zone and deformation around the opening show obvious nonuniform characteristic: with the increasing of lateral pressure coefficient, the range of plastic zone and deformation decrease gradually at side, while they increase at roof and floor, and the location of the maximum value of support and surrounding rock response curve transfers from side to roof. Based on the analytical results and engineering practice, an optimization method of support design was proposed for the circular opening under nonuniform pressure.http://dx.doi.org/10.1155/2020/8828917 |
| spellingShingle | Peng Wu Yanlong Chen Liang Chen Xianbiao Mao Wei Zhang Analytical Solution of a Circular Opening considering Nonuniform Pressure and Its Engineering Application Advances in Civil Engineering |
| title | Analytical Solution of a Circular Opening considering Nonuniform Pressure and Its Engineering Application |
| title_full | Analytical Solution of a Circular Opening considering Nonuniform Pressure and Its Engineering Application |
| title_fullStr | Analytical Solution of a Circular Opening considering Nonuniform Pressure and Its Engineering Application |
| title_full_unstemmed | Analytical Solution of a Circular Opening considering Nonuniform Pressure and Its Engineering Application |
| title_short | Analytical Solution of a Circular Opening considering Nonuniform Pressure and Its Engineering Application |
| title_sort | analytical solution of a circular opening considering nonuniform pressure and its engineering application |
| url | http://dx.doi.org/10.1155/2020/8828917 |
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