Nonlinear Visco-Elasto-Plastic Model for Surrounding Rock Incorporating the Effect of Intermediate Principal Stress

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• 作者：Jin-feng Zou ; Ming-yao Xia ; Yuan Xu
• 关键词：SMP failure criterion ; H ; Kelvin model ; Strain ; softening surrounding rock ; Visco ; elasto ; plastic model ; Reservation deformation of tunnel
• 刊名：Geotechnical and Geological Engineering
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：35
• 期：1
• 页码：403-423
• 全文大小：
• 刊物类别：Earth and Environmental Science
• 刊物主题：Geotechnical Engineering & Applied Earth Sciences; Hydrogeology; Terrestrial Pollution; Waste Management/Waste Technology; Civil Engineering;
• 出版者：Springer International Publishing
• ISSN：1573-1529
• 卷排序：35

文摘

This paper focuses on the influence of intermediate principal stress on visco-elasto-plastic solution of surrounding rock. Assuming that the surrounding rock satisfies the spatially mobilized plane (SMP) failure criterion, the H-Kelvin model was adopted and improved by considering the effect of intermediate principal stress. For elasto-plastic surrounding rock, an analytical approach was presented. For strain-softening surrounding rock, the potential plastic zone was subdivided into a finite number of concentric annuli and a numerical model for calculating the stress and displacement of each annulus was presented. Thus, based on SMP failure criterion and the improved H-Kelvin model, the nonlinear visco-elasto-plastic models considering the effect of intermediate principal stress were proposed for elasto-plastic and strain-softening surrounding rock, respectively. The accuracy of the proposed approaches were validated with the published results. Comparisons show that the long-term creep deformation based on M-C failure criterion is 9.4 mm which is 34.3% greater than the results of SMP failure criterion. Taking the safety factor as 1.5, the proposed model is applied in predicting the long-term deformation of Shangxinzhai Tunnel, the deformation is calculated to be 8.5 cm which is 29.2% smaller than the designed value.