Ductile linings have been proved to be highly effective for tunnelling in heavy squeezing grounds. But there still has not been a well-established design method for them. In this paper, an investigation on an analytical design method for ductile tunnel linings is performed. Firstly, a solution in closed form for ground response of a circular tunnel within Burgers viscoelastic rocks is derived, accounting for the displacement release effect. Then based on the principle of equivalent deformation, the mechanical model of segmental shotcrete linings with yielding elements is established using the homogenization approach. Analytical prediction for behaviour of ductile tunnel linings is provided. Furthermore, the proposed design method for ductile tunnel linings is applied in Saint Martin La Porte access tunnel and the analytical prediction is in good agreement with field monitoring data. Finally, a parametric investigation on the influence of yielding elements on performance of ductile tunnel linings is conducted. Results show that the length of yielding elements poses a great influence on linings. It is feasible and effective to increase the length of yielding elements to obtain the pressure within the bearing capacity of linings. However, yield stress of yielding elements does not significantly affect the performance of the lining. It is suggested to apply yielding elements with relatively higher yield stress in linings for higher stability.

中文翻译：

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挤压隧道延性支护结构的解析设计方法

球墨铸铁衬砌已被证明对于在重挤土中的隧道施工非常有效。但是，对于它们，还没有一种完善的设计方法。本文对延性隧道衬砌的分析设计方法进行了研究。首先，导出了封闭形式的Burns粘弹性岩石内圆形隧道地面响应的解，考虑了位移释放效应。然后根据等效变形原理，采用均质化方法建立了分段屈服衬砌的力学模型。提供了韧性隧道衬砌行为的分析预测。此外，提出的延性隧洞衬砌设计方法应用于圣马丁拉波特进出隧道，其分析预测与现场监测数据吻合良好。最后，对屈服元素对延性隧道衬砌性能的影响进行了参数研究。结果表明，屈服元素的长度对衬砌有很大影响。增大屈服元件的长度以在衬砌的承载力范围内获得压力是可行且有效的。但是，屈服元件的屈服应力不会显着影响衬里的性能。建议在衬里中使用屈服应力较高的屈服元件，以获得更高的稳定性。对屈服元素对延性隧道衬砌性能的影响进行了参数研究。结果表明，屈服元素的长度对衬砌有很大影响。增大屈服元件的长度以在衬砌的承载力范围内获得压力是可行且有效的。但是，屈服元件的屈服应力不会显着影响衬里的性能。建议在衬里中使用屈服应力较高的屈服元件，以获得更高的稳定性。对屈服元素对延性隧道衬砌性能的影响进行了参数研究。结果表明，屈服元素的长度对衬砌有很大影响。增大屈服元件的长度以在衬砌的承载力范围内获得压力是可行且有效的。但是，屈服元件的屈服应力不会显着影响衬里的性能。建议在衬里中使用屈服应力较高的屈服元件，以获得更高的稳定性。屈服元件的屈服应力不会显着影响衬砌的性能。建议在衬里中使用屈服应力较高的屈服元件，以获得更高的稳定性。屈服元件的屈服应力不会显着影响衬砌的性能。建议在衬里中使用屈服应力较高的屈服元件，以获得更高的稳定性。