热力响应下衬砌隧道附加应力场的敏感性分析
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摘要
针对核废料深埋处置遇到的热力耦合问题,研究一个深埋衬砌隧道热力响应下的附加应力场问题.考虑全场的应力变形特征,运用复变函数的罗朗级数展开技术,构造合适的应力函数,结合边界条件和无穷远的性态,获得了全场复势的解析表达,对孔口应力的敏感性分析显示:相对于无衬砌的情况,软衬砌的存在可以有效降低孔口应力,当衬砌厚度达到某个值时,孔口应力最小,过厚、过薄的衬砌对降低孔口应力都是不利的;对于硬衬砌隧道,当衬砌厚度达到某个值时,会出现应力集中现象,为了降低孔口应力,必须增加衬砌厚度;在一定情况下,由于热膨胀产生的热应力,也可以降低孔口应力.
According to the current situation of the coupled action of mechanical and thermal load occurring in the disposal engineering of nuclear wastes, the problem of additional stress fields for a circular lined tunnel considering the effect of the thermal response was investigated.By considering the stressdeformation characteristic of the total fields and applying the technique of series expansion,the appropriate stress functions were constructed and accordingly the complex potentials for every region were obtained.The sensitivity analyses for the hole stresses of the tunnel indicated that,compared with the unlined case, the existence of a soft liner can effectively weaken the hole stresses which will obtain a minimal value when the liner thickness reaches a certain magnitude for a fixed liner rigidity.For a stiff liner,the stress concentration will take place when the liner thickness gets up to certain value for fixed liner rigidity,and an increment of the liner thickness is needed in order to decrease the hole stresses.To a certain extent,stresses resulting from thermal expansion can counteract the hole stresses.
According to the current situation of the coupled action of mechanical and thermal load occurring in the disposal engineering of nuclear wastes, the problem of additional stress fields for a circular lined tunnel considering the effect of the thermal response was investigated.By considering the stressdeformation characteristic of the total fields and applying the technique of series expansion,the appropriate stress functions were constructed and accordingly the complex potentials for every region were obtained.The sensitivity analyses for the hole stresses of the tunnel indicated that,compared with the unlined case, the existence of a soft liner can effectively weaken the hole stresses which will obtain a minimal value when the liner thickness reaches a certain magnitude for a fixed liner rigidity.For a stiff liner,the stress concentration will take place when the liner thickness gets up to certain value for fixed liner rigidity,and an increment of the liner thickness is needed in order to decrease the hole stresses.To a certain extent,stresses resulting from thermal expansion can counteract the hole stresses.
引文
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[14]MUSKHELISHVILI N I,Some basic problems of mathematicaltheory of elasticity[M].Leyden:Noordhoff,1975.
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[3]王梦恕,杨会军.重申隧道设计、施工的基本原则[J].铁道工程学报,2007,24(1):77-81.WANG Mengshu,YANG Huijun.Reaffirming basic construc-tion and design principle of tunnel[J].Journal of Railway En-gineering Society,2007,24(1):77-81.
[4]任青文,邱颖.具有衬砌圆形隧洞的弹塑性解[J].工程力学,2005,22(2):212-217.REN Qingwen,QIU Ying.Elastic-plastic solution of circulartunnel with liner[J].Engineering Mechanics,2005,22(2):212-217.
[5]刘干斌,谢康和,施祖元.粘弹性饱和土中深埋圆形隧道衬砌-土相互作用[J].工程力学,2005,22(6):148-154.LIU Ganbin,XIE Kanghe,SHI Zuyuan.Soil-structure interac-tion of a deep circular tunnel in viscoelastic saturated soil[J].Engineering Mechanics,2005,22(6):148-154.
[6]刘干斌,谢康和,施祖元.饱和土体中压力隧洞衬砌-土相互作用解析研究[J].应用力学学报,2004,21(4):56-61.LIU Ganbin,XIE Kanghe,SHI Zuyuan.Analytical solution ofsoil-structure interaction of a pressure tunnel in saturated soil[J].Chinese Journal of Applied Mechanics,2004,21(4):56-61.
[7]梁建文,纪晓东,VINCENT W L.地下圆形衬砌隧道对沿线地震动的影响(I):级数解[J].岩土力学,2005,21(4):520-524.LIANG Jianwen,JI Xiaodong,VINCENT W L.Effects of anunderground lined tunnel on ground motion(I):series solution[J].Rock and Soil Mechanics,2005,21(4):520-524.
[8]梁建文,纪晓东,VINCENT W L.地下圆形衬砌隧道对沿线地震动的影响(II):数值结果[J].岩土力学,2005,26(5):687-692.LIANG Jianwen,JI Xiaodong,VINCENT W L.Effects of anunderground lined tunnel on ground motion(II):numerical re-sults[J].Rock and Soil Mechanics,2005,26(5):687-692.
[9]张玉军,李治国.带裂纹隧道二次衬砌承载能力的平面有限元计算分析[J].岩土力学,2005,26(8):1201-1206.ZHANG Yujun,LI Zhiguo.2D finite element analysis of bear-ing capacity of tunnel lining with cracks[J].Rock and Soil Me-chanics,2005,26(8):1201-1206.
[10]SON M,CORDING E J.Ground-liner interaction in rock tun-neling[J].Tunnelling and Underground Space Technology,2007,22:1-9.
[11]HUO H,BOBET A,FERNANDEZ G,et al.Analytical solu-tion for deep rectangular structures subjected to far-field shearstresses[J].Tunnelling and Underground Space Technology,2006,21:613-625.
[12]NAM S W,BOBET A.Liner stresses in deep tunnels belowthe water table[J].Tunnelling and Underground Space Tech-nology,2006,21:626-635.
[13]BOBET A.Effect of pore water pressure on tunnel supportduring static and seismic loading[J].Tunnelling and Underg-round Space Technology,2003,18:377-393.
[14]MUSKHELISHVILI N I,Some basic problems of mathematicaltheory of elasticity[M].Leyden:Noordhoff,1975.
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