\r张通通，崔振东，王苏扬\r
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AuthorsHTML:\r张通通，崔振东，王苏扬\r
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AuthorsListE:\rZhang Tongtong，Cui Zhendong，Wang Suyang\r
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AuthorsHTMLE:\rZhang Tongtong，Cui Zhendong，Wang Suyang\r
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Unit:\r中国矿业大学力学与土木工程学院深部岩土力学与地下工程国家重点实验室，徐州 221116\r
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Unit_EngLish:\rState Key Laboratory for Geomechanics and Deep Underground Engineering，School of Mechanics and Civil Engineering，China University of Mining and Technology，Xuzhou 221116，China\r
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Abstract_Chinese:\r深部高应力环境将对地铁衬砌结构的变形和防水提出更高的要求．在已有的地铁衬砌结构设计理论基础上，将功能梯度材料引入到深埋地铁衬砌结构设计中，建立了功能梯度衬砌结构内力和变形的求解模型．设置衬砌结构的弹性模量沿角度方向以幂函数形式变化，并且在模型基础上对函数参数进行分析．结果表明：功能梯度衬砌在弹性模量参数a > b 的条件下变形较小．表现在结构设计上为：在衬砌顶部和底部配置高弹性模量混凝土，在中部配置弹性模量相对较低的混凝土有利于减小结构变形；此外，随着指数n 的增大，结构变形减小．表现在结构设计上为：结构的整体刚度提高有利于减小结构变形．通过计算，当n =1时，衬砌结构满足变形要求，因此可以在设计中使n =1以节省衬砌成本．最后，以上海土层参数为基础确定结构外部荷载，采用荷载结构法对埋深 65 m 条件下的功能梯度衬砌进行了内力和变形求解，并且与弹性模量为功能梯度结构弹性模量最大值的均质衬砌进行对比．对比发现弹性模量参数a =1，b = 0.9，n =1的功能梯度结构最大变形比均质结构小 10%左右，并且两者弯矩分布没有因此产生较大变化，差异最大处在4.8%以内．因此功能梯度衬砌具有安全性和经济性的双重优点．研究工作为进一步研究功能梯度地铁衬砌的力学特性提供了一定的参考价值．\r
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Abstract_English:\rLinings of subway tunnels should provide higher bearing capacity and waterproofness in a deep environment with high stress. Based on the existing design theory for linings in subway tunnels, functionally graded materials are introduced into the design for linings in deeply buried subway tunnels, and a model is established to determine the internal stress and deformation of this functionally graded lining. The elastic modulus of the lining is set to vary with the angle in the form of a power function, and the function parameters are analyzed on the basis of this model. Results show that the functionally graded lining has a smaller deformation under the condition of a＞b, which means that the configuration of concrete with a higher elastic modulus at the top and bottom of the lining and concrete with a lower elastic modulus in the middle contributes to a smaller structural deformation. Moreover, the deformation will decrease with the growth of n, which means that the improved overall structural stiffness is beneficial for reducing the deformation. Through calculations, it is shown that the lining can meet the deformation requirement when n＝1. Therefore, n can be set to 1 in the design to lower the lining cost. Finally, the structure’s external load is determined based on the geological parameters in Shanghai, and the internal force and deformation in the functionally graded lining buried at a depth of 65 m are solved using the load-structure method. In addition, the results are compared with those of a homogeneous lining whose elastic modulus is equal to the maximum elastic modulus of the functionally graded lining. From the comparison, it is found that the maximal deformation of a functionally graded lining with a＝1, b＝0.9, and n＝1 is 10% lower than that of the homogeneous lining, and the difference in the moment distributions of both linings is not obvious, with a maximum difference of less than 4.8%. Therefore, the functionally graded lining is confirmed to be economical and safe. The research results in this paper provide reference for further study on the mechanical properties of functionally graded linings in subway tunnels.\r
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Keyword_Chinese:功能梯度材料；深埋地铁隧道；衬砌结构；弹性模量；变形特性\r

Keywords_English:functionally graded material；deeply buried subway tunnel；lining；elastic modulus；deformation property\r


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