Elastoplastic solution of deep hydraulic tunnel considering loading and unloading paths
FU Ruicong1，WANG Huaning2，JIANG Mingjing1，YANG Yongheng1
(1. College of Civil Engineering，Tongji University，Shanghai 200093，China；2. School of Aerospace Engineering and Applied Mechanics，Tongji University，Shanghai 200093，China)
Abstract：The current elastoplastic analytical solutions for tunnels were mostly obtained based on the loading path. However，the stress state of the hydraulic tunnel is unloading after the water filling，therefore，the solution should consider the actual stress history. According to the principle of elastic-plastic loading and unloading，the elastoplastic analytical solutions(i.e.，size of plastic zone，stress，displacement and critical water pressure) of hydraulic tunnel are derived for the whole stage from excavation to water filling，considering the advancement of the tunnel face，the interaction between surrounding rock and lining，support time and the re-plasticity of the unloading region under high water pressure. The analytical stress and displacement agree very well with the results from finite element method. Compared the proposed solutions with obtained from the loading path(the traditional solution)，it is found that the traditional solution underestimates the displacement and the size of the plastic zone.
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2021, Vol. 40 
