Improving rockbolt design in tunnels using topology optimisation

Nguyen, Tin and Ghabraie, Kazem and Tran-Cong, Thanh and Fatahi, Behzad (2016) Improving rockbolt design in tunnels using topology optimisation. International Journal of Geomechanics, 16 (1). ISSN 1532-3641

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Finding an optimum reinforcement layout for underground excavation can result in a safer and more economical design, and therefore is highly desirable. Some works in the literature have applied topology optimization in tunnel reinforcement design in which reinforced rock is modeled as homogenized isotropic material. Optimization results, therefore, do not clearly show reinforcement distributions, leading to difficulties in explaining the final outcomes. In order to overcome this deficiency, a more sophisticated modelling technique in which reinforcements are explicitly modeled as truss elements embedded in rock mass media is employed. An optimization algorithm extending the Solid Isotropic Material with Penalization (SIMP) method is introduced to seek for an optimal bolt layout. To obtain the stiffest structure with a given amount of reinforced material, external work along the opening is selected as the objective function with a constraint on volume of reinforcement. The presented technique does not depend on material models used for rock and reinforcements and can be applied to any material model. Nonlinear material behavior of rock and reinforcement is taken into account in this work. Through solving some typical examples, the proposed approach is proved to improve the conventional reinforcement design and provide clear and practical reinforcement layouts.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Accepted version deposited in accordance with the copyright policy of the publisher.
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 Jul 2013 -)
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 Jul 2013 -)
Date Deposited: 27 Apr 2016 23:45
Last Modified: 20 Mar 2017 00:19
Uncontrolled Keywords: tunnel reinforcement; rock bolt; topology optimisation; SIMP method
Fields of Research (2008): 09 Engineering > 0905 Civil Engineering > 090501 Civil Geotechnical Engineering
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010303 Optimisation
Fields of Research (2020): 40 ENGINEERING > 4005 Civil engineering > 400502 Civil geotechnical engineering
49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490304 Optimisation
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
B Economic Development > 84 Mineral Resources (excl. Energy Resources) > 8402 Primary Mining and Extraction Processes of Mineral Resources > 840299 Primary Mining and Extraction of Mineral Resources not elsewhere classified
B Economic Development > 88 Transport > 8801 Ground Transport > 880106 Road Infrastructure and Networks
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