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中文摘要：
将无限长圆形隧道洞视为平面应变问题，借助分数导数理论、粘弹性理论和土动力学建立了分数导数粘弹性土体的极坐标运动方程，利用贝塞尔方程的性质和问题的边界条件求解了粘弹性土体运动方程的解，得到了简谐荷载作用下分数导数粘弹性土体中圆形隧道洞的径向应力和位移的表达式。通过数值算例研究了分数导数的阶数和模型参数对圆形隧道洞应力和位移的影响。
英文摘要：
The infinitely long circular tunnel is regarded as a plane strain problem, the polar motion equa- tions of soil described by fractional derivative viscoelastic model were established by the theory of frac- tional derivative, the polar motion equations of soil were solved by the properties of Bessel equation and the boundary conditions of the problem, and the radial stress and displacement of circular tunnel in frac- tional derivative viscoelastic soil were obtained. The influence of the order of fractional derivative and moderl parameters on radial stress and displacement of circular tunnel was investigated with numerical ex- ample.
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