ABI Erdi, ZHENG Ying-ren, FENG Xia-ting, XIANG Yu-zhou. Analysis of Circular Tunnel Stability Based on the Limit Strain Method[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1265-1273. doi: 10.3879/j.issn.1000-0887.2015.12.005
 Citation: ABI Erdi, ZHENG Ying-ren, FENG Xia-ting, XIANG Yu-zhou. Analysis of Circular Tunnel Stability Based on the Limit Strain Method[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1265-1273.

Analysis of Circular Tunnel Stability Based on the Limit Strain Method

doi: 10.3879/j.issn.1000-0887.2015.12.005
Funds:  The National Basic Research Program of China (973 Program)（2011CB013600;2011CB710606）
• Received Date: 2015-08-28
• Rev Recd Date: 2015-10-27
• Publish Date: 2015-12-15
• The material yield and failure bear different mechanisms. There have been substantial research on yield criteria, but few strict rules about failure criteria. The ideal elastic-plastic model in the expression of stress was difficult to be used to differ between yield and failure, so the limit strain failure criterion was put forward, which was intended to predict the material local and overall failure. Compared with the slip-line field theory and the model experiment, the limit strain method was applied to a circular tunnel to analyze the damage process of the tunnel, including the damage depths of surrounding rock and the related safety coefficients. The work shows that the limit strain method helps to successfully predict the failure process and ultimate state of the circular tunnel, and obtain accurate safety coefficients. The present results are in good agreement with those out of the slip-line field method and the model experiment, which verifies the feasibility and effectiveness of this limit strain method. The limit strain criterion with clear mechanical meanings reflects the holistic process of material failure, and provides a promising method for the geotechnical material limit analysis.
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