寒区隧道冻胀力的粘弹性解析解

Analytical Viscoelastic Solution for Frost Force of Cold Regional Tunnels

利用弹性粘弹性相应原理，导出了衬砌－正冻围岩－未冻围岩系统冻胀力在拉氏象空间中的有关算式，然后采用数值逆变换的方法，求得了寒区隧道的冻胀力和衬砌应力。

In this paper, the formulae of Laplace transform with respect to time for frost forces of the liner frozen surrounding rock unfrozen surrounding rock system are derived from the elastic viscoelastic correspondence principle. And then, the frost forces and liner stresses of cold regional tunnel are obtained by the numerical inversion of the Laplace transform. Finally, an example is given. This example indicates that the liner stress including the frost factor is much larger than that not including the frost factor.