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A platform for research: civil engineering, architecture and urbanism
Ground response curves (GRCs) can be used to characterize the evolution law of stress and displacement during tunnel excavation. In this study, an attempt is made to obtain the GRC and find the stress field for a noncircular tunnel using a complex variable method. The analytical solution of an elastic GRC for a noncircular tunnel with a complex geometry configuration is proposed, and the stress and displacement of the rock mass caused by tunnel excavation are provided. The proposed analytical solution for a noncircular tunnel is compared with the known solutions of circular openings by degenerating the proposed model. The proposed solution is compared with a quasi-two-dimensional calculation model using FLAC finite-difference code, as well as with the known solutions of circular openings by degenerating the proposed model. The results indicated good agreement with the analytical and numerical solutions, verifying the correctness of the derivation. Finally, the GRCs are investigated based on three key points. It illustrates that the stresses and displacements of the three key points are linear and that the predicted GRCs of three key points by both models are in general agreement, if the difference in gravity field between the two methods is not considered.
Ground response curves (GRCs) can be used to characterize the evolution law of stress and displacement during tunnel excavation. In this study, an attempt is made to obtain the GRC and find the stress field for a noncircular tunnel using a complex variable method. The analytical solution of an elastic GRC for a noncircular tunnel with a complex geometry configuration is proposed, and the stress and displacement of the rock mass caused by tunnel excavation are provided. The proposed analytical solution for a noncircular tunnel is compared with the known solutions of circular openings by degenerating the proposed model. The proposed solution is compared with a quasi-two-dimensional calculation model using FLAC finite-difference code, as well as with the known solutions of circular openings by degenerating the proposed model. The results indicated good agreement with the analytical and numerical solutions, verifying the correctness of the derivation. Finally, the GRCs are investigated based on three key points. It illustrates that the stresses and displacements of the three key points are linear and that the predicted GRCs of three key points by both models are in general agreement, if the difference in gravity field between the two methods is not considered.
A Closed-Form Elastic Solution of Ground Response Curve for Noncircular Openings
2021-09-30
Article (Journal)
Electronic Resource
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