摘要:基于隧道衬砌不同损伤状态下衬砌变形特性、破坏模式与承载力,通过试验研究,表明衬砌整体破坏由拱腰极限承载力控制,模拟衬砌受力过程为“加载一原裂缝贯通一套拱拱顶裂缝贯通一试件破坏”,得出关键部位破坏顺序为“拱顶开裂拱腰脆性断裂一拱顶延性破坏”。通过试验数据分析,确定原衬砌裂缝深度为1/3衬砌厚度时,可作为施工钢筋砼内套拱加固的最佳时机。
关键词:内套拱加固;损伤衬砌;养护时机
鄂西南地区高速公路隧道密集,许多隧道都已经进人高维修阶段,山岭隧道投入运营后,受环境、地质条件及自身结构缺陷等因素的影响,出现衬砌裂损、掉块、大变形等诸多病害,其中,衬砌裂损最为常见,直接影响隧道结构服役性能。在养护加固处理过程中,对隧道衬砌裂损类病害前期多只会对裂缝灌缝、封缝处理,随着裂损病害的发展,影响到隧道结构安全,就会考虑到采用钢筋混凝土内套拱加固处理,以期恢复二衬的结构性能。由于内套拱施工一般需阻断交通,交通管制及工程费用高,因此,裂损病害发展到何种程度施工内套拱加固能达到原设计指标,恢复结构性能,又经济合理,就需对施工内套拱加固的时机做进一步研究,为隧道养护管理决策提供科学的技术支持。
一、试验
内套拱加固二衬目的就是保证隧道良好运营条件和结构使用功能,加固衬砌结构,延长使用寿命,同时节约养护成本。套拱加固时机选择直接影响到隧道养护的成败,如何确定加固时机,延长衬砌结构物寿命,提高其服务功能,是隧道维修管理技术重要使命。
损伤衬砌为达到设计功能,恢复到原来指标,不同养护时机对应加固成本差异很大。本文采用模型试验方法,在拱顶预制不同深度裂缝模拟损伤状态,采用套拱加固,再加荷至破坏,研究隧道不同损伤状态下衬砌套拱加固的效果。通过对比分析,确定衬砌套拱加固最佳的施作时机。
1、模型试验装置。模型试验装置由加载系统、量测系统、反力系统组成,相似比1:10,松动荷载采用千斤顶加载实现,其余千斤顶不主动加载,其弹性抗力模拟围岩与衬砌相互作用,起到模拟地层被动抗力的作用,所有主动加载与被动抗力装置一起构成了加载系统,衬砌和千斤顶受力通过弹簧来传递,地层抗力系数为10 MPa·m-1。原型隧道衬砌截面采用时速80 km双车道四心圆断面,衬砌厚度为0.40 m,衬砌跨度11.86m,高度9.53 m。原衬砌为C25模筑钢筋混凝土,厚0.40m;套拱为C30钢筋混凝土,厚0.20 m。
2、试验材料。以石膏为主的材料模拟混凝土,主要通过极限抗压抗拉强度进行控制,通过多组配比试验,最后确定水与石膏比例为0.55:1,测得弹性模量2.53 GPa,抗压强度2.36 MPa.模型钢筋网由焊接镀锌网制成,焊接镀锌铁网是用优质低碳钢丝排焊而成,焊点牢固,加工性能良好。模型试件轴向长度为30 cm,钢丝面积为27mm2,取钢丝直径1 mm,主筋间距约10 mm,构造筋取直径为1 mm。取拱顶截面为控制截面,通过分析拱顶截面短期刚度与最终破坏荷载,研究内套拱承载能力。
(1)计算方法。基于平截面假定,采用钢筋混凝土纯弯、压弯构件短期刚度的通用计算公式为:
(2)量测项目。沿隧道外侧,每两个抗力弹簧之间布置百分表,测量隧道变形,拱顶1只、拱腰及边墙6只,仰拱4只,共计11只表用以测量衬砌表面法向的位移。在起拱线两端,测量起拱线下沉位移,其测量杆平行于测点处衬砌表面的切向。在拱顶千斤顶前端平板和曲板上布置了百分表,测量弹簧压缩量和压缩系数的乘积,即拱顶千斤顶的松动压力。
二、不同损伤状态套拱加固效果分析
先浇筑和完成养护衬砌,衬砌内预制裂缝采用厚度1 mm聚乙烯板模拟,模型浇筑时插入拱顶位置,不同裂缝深度模拟衬砌不同损伤状态,衬砌浇筑过程分为模具及钢丝网定位、材料拌合、浇筑、短期养护、拆模、养护六个阶段,浇筑过程中振捣以保证浇筑质量.然后施作套拱并养护,再加载至破坏。
1、损伤衬砌裂缝发展过程。通过预制不同衬砌裂缝深度,模拟衬砌不同损伤状态,根据模型试验数据,拱顶挠度曲线与荷载关系,分阶段对试件破坏过程进行分析。如图所示。
2、损伤衬砌弯矩—曲率关系。依据相似比、试验荷载和位移,采用式进行反分析,可以求得套拱加固后的模型在松动荷载作用下,原二次衬砌结构曲率和弯矩变化曲线,如图所示.
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)
从图看出,原衬砌预制裂缝深度不同对应的衬砌结构弯矩差异较大。试件承受荷载较小时,应变、挠度曲线基本呈直线状态,处于弹性工作阶段。随着荷载增加,试件进入带裂缝工作状态,套拱受拉区主要由钢筋承受拉力。继续施加荷载,套拱开始出现裂缝并快速发育,沿径向贯通,最终与预制裂缝连通,预制裂缝进一步加深。衬砌发生曲率突变点基本一致,为0.0057处。原衬砌预制裂缝深度为衬砌厚度为1/3,1/2,2/3,突变点处对应弯矩分别为402 kN·m,285 kN·m,241 kN·m。
3、套拱加固衬砌复合构件开裂过程与破坏模式。根据破坏性模型试验量测数据,可以将套拱加固构件破坏过程分为“加载—原裂缝径向贯通—套拱拱顶裂缝径向贯通—试件破坏”阶段。
(1)初期加载—预制裂缝径向贯通,预制裂缝深度的不同,各试件预制裂缝的张开荷载也不同,如表所示。
![](data:image/png;base64,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)
随着荷载施加,拱顶挠度线性快速增加,弯矩—曲率非线性增加(弯矩增幅小于截面曲率增幅),拱顶截面整体弯曲刚度急剧降低,抗力曲线线性缓慢增加。在预制裂缝贯通之前,若单独取套拱按照现有混凝土理论计算开裂弯矩
(2)预制裂缝径向贯通—套拱裂缝径向贯通,预制裂缝贯通后,原衬砌拱顶截面仍可提供较大刚度,荷载并未立即转移至套拱,而是随不断加载,原衬砌预制裂缝逐渐张开,套拱承担荷载缓慢增加,其上主裂缝沿径向明显发育,受压区渐渐上移。但由于钢筋强度足够,试件变形较缓慢,荷载一挠度曲线比较平缓,而弯矩—曲率、荷载—刚度曲线接近于直线,波动不大,抗力基本线性增加。
(3)套拱拱顶裂缝径向贯通—试件破坏。套拱拱顶裂缝径向贯通后,试件进入加速破坏过程,原衬砌预制裂缝大幅扩展,顶部出现明显的三角形受压区,套拱主裂缝亦明显张开,并出现斜裂缝,钢筋应力逐渐增大,但仍未达到屈服强度,截面达到极限承载力时,脆性断裂,导致结构整体迅速破坏,原衬砌破坏由拱腰脆性断裂引起,原衬砌拱顶最终破坏形式为大偏心压弯破坏,拱脚出现斜裂缝,处于压剪受力状态。
4,套拱加固衬砌复合构件抗弯刚度。构件加载过程中刚度变化趋势大致相同,随着荷载增大,裂缝发展导致结构刚度呈非线性减小,衬砌裂纹产生。原衬砌预制裂缝深度不同,荷载引起复合构件弯曲刚度减小幅度差异很大,试件刚度差异也较大。
三、结论
(1)在衬砌损坏初期,内套拱加固可防止损伤向深层次进一步发展,避免进人快速发展阶段。套拱加固衬砌复合结构破坏荷载由原衬砌拱腰截面极限承载力控制,呈脆性破坏。
(2)原衬砌拱腰在加载过程中必然会发生破坏,其破坏前套拱拱腰截面分担荷载较小。
(3)原衬砌裂缝深度为1/3衬砌厚度时,可作为施工钢筋砼内套拱加固的最佳时机。
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