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为确定非满流隧洞(隧洞内的水面线低于衬砌拱顶)衬砌体的应力状态,我们可以借助于在弹性介质中平衡园环的平面接触问题的弹性理论解而求得,该园环承受水压力部分的内中心角为 Q_1≤θ≤2π-θ_1,其正应力σ_p=-γ_水 r_1(CoSθ_1-CoSθ)。利用这个关系式,采用不同的θ_1值,可对隧洞内水位变动情况的衬砌体进行计算,亦就是说,在整个放空或储水过程中,均可对隧洞衬砌体作应力计算(图一)。
To determine the stress state of the lining in a partially filled tunnel where the waterline in the tunnel is lower than the lining dome, we can obtain it by means of an elastic theoretical solution to the problem of the planar contact problem of a balanced circular ring in an elastic medium, The inner center angle of the water pressure receiving part is Q_1≤θ≤2π-θ_1, and its normal stress σ_p = -γ_water r_1 (CoSθ_1-CoSθ). Using this relation, different values of θ_1 can be used to calculate the lining of the water level in the tunnel. That is to say, the stress can be calculated for the tunnel lining during the entire process of venting or water storage (Figure 1) .