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本文所介绍的无衬砌隧道和洞室的几何形状,是不改变原始二向应力场或附加一线性梯度应力的各向同性场的平均应力(或称为第一不变量)时的洞形。对于二向应力场,在或有或无内压力的洞壁上,这样的洞形,(称为协调洞),与任何可能的洞形相比,产生的集中应力的绝对值最小,而对于附加一线性梯度应力的各向同性场,协调形洞壁上的环向应力小于同样尺寸的园形洞室的环向应力。
The geometric shapes of the unlined tunnels and caverns described in this paper are hole shapes that do not change the average stress (or first invariant) of the original biaxial stress field or an isotropic field with a linear gradient stress. For biaxial stress fields, such holes (called coordination holes), with or without internal pressure, have the smallest absolute value of the concentrated stress compared to any possible hole shape, and for the additional An isotropic field with a linear gradient stress, the hoop stress on the coordination hole wall is less than the hoop stress of the circular hole with the same size.