Underground facilities play an important role in infrastructure of modern society, especially some lifeline engineering, such as subway and railway tunnels, civil air-defense engineering and so on. As we know, the entire cognitive processes of seismic response of underground openings to earthquake is transforming from taking no account of earthquake load, primordially, to adopting the theory of free-field deformation, transitively, and the employing theory of dynamic design till now. However, so far, there are no established methods which can absolutely be employed for assessing and evaluating stability and induced plastic damage of tunnel surroundings ground during earthquakes. Based on a while building subway tunnel, this paper describes the propagation of seismic wave and seismic induced plastic damage of surrounding rock with a simple harmonic wave and a field recorded wave, which have the same dominate frequency. In addition, the specific energy density (SED) is introduced to represent the energy dissipation during ground shaking. Due to the recorded time-history wave, the response of feature points along tunnel and extension of plastic zone are analyzed with the different peak ground acceleration (PGA). Results illustrate that the upper tunnel cross section is more vulnerable than the lower part. Interestingly, when the PGA reaches 0.3 and 0.4 time of gravity acceleration, the seismic response of tunnel behaves almost the same.

中文翻译：

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城市地下岩石隧道地震反应塑性数值研究

地下设施在现代社会的基础设施中起着重要作用，尤其是一些生命线工程，例如地铁和铁路隧道，人防工程等。众所周知，地下洞室对地震的反应的整个认知过程正在从最初的不考虑地震荷载转变为过渡地采用自由场变形理论和动态设计理论。然而，到目前为止，还没有建立的方法可以绝对地用于评估和评估地震期间隧道周围地面的稳定性和诱发的塑性破坏。在建设地铁隧道的基础上，本文用主频相同的简单谐波和现场记录波描述了地震波的传播和地震引起的围岩塑性损伤。此外，引入了比能量密度（SED）来表示地面震动过程中的能量耗散。由于记录了时程波，因此分析了沿不同地层峰值加速度（PGA）沿隧道和塑性区延伸的特征点的响应。结果表明，隧道的上部横截面比下部的脆弱。有趣的是，当PGA达到重力加速度的0.3和0.4倍时，隧道的地震响应几乎相同。引入比能量密度（SED）来表示地面震动过程中的能量耗散。由于记录了时程波，因此分析了沿不同地层峰值加速度（PGA）沿隧道和塑性区延伸的特征点的响应。结果表明，隧道的上部横截面比下部的脆弱。有趣的是，当PGA达到重力加速度的0.3和0.4倍时，隧道的地震响应几乎相同。引入比能量密度（SED）来表示地面震动过程中的能量耗散。由于记录了时程波，因此分析了沿不同地层峰值加速度（PGA）沿隧道和塑性区延伸的特征点的响应。结果表明，隧道的上部横截面比下部的脆弱。有趣的是，当PGA达到重力加速度的0.3和0.4倍时，隧道的地震响应几乎相同。