CN105486845A - Asphalt mixture multi-stage loaded high-temperature creep curve analysis method based on axle load spectrum - Google Patents
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Abstract
本发明公开了一种基于轴载谱的沥青混合料多级加载高温蠕变曲线分析方法,通过对不同级加载过程中处于蠕变第二阶段的蠕变曲线进行线性拟合,获取累积微应变增长斜率,根据公式计算响应的高温蠕变特性指标LSI、CDA和MFN。本发明参数中,较大的MFN代表该混合料在多级荷载的作用下抵抗永久变形的能力较强,较小的LSI表明该混合料对轴载的变化较钝感,可能对抵抗重载更强,较小的CDA表明沥青混合料产生蠕变损伤的速率较均衡,对一个循环的谱型加载不敏感。
The invention discloses a method for analyzing the high-temperature creep curve of asphalt mixture under multi-stage loading based on the shaft-loading spectrum. The accumulated micro-strain is obtained by linear fitting of the creep curve in the second stage of creep during the loading process of different stages. The growth slope is calculated according to the formula to calculate the corresponding high temperature creep characteristic indicators LSI, CDA and MFN. Among the parameters of the present invention, a larger MFN represents that the mixture has a stronger ability to resist permanent deformation under the action of multi-stage loads, and a smaller LSI indicates that the mixture is relatively insensitive to changes in axle load, and may be less effective in resisting heavy loads. A stronger and smaller CDA indicates that the rate of creep damage of the asphalt mixture is more uniform and insensitive to one-cycle spectral loading.
Description
技术领域technical field
本发明属于道路养护领域,具体涉及一种基于轴载谱的沥青混合料多级加载高温蠕变曲线分析方法。The invention belongs to the field of road maintenance, and in particular relates to an analysis method of asphalt mixture multi-stage loading high temperature creep curve based on axle load spectrum.
背景技术Background technique
车辙等永久变形破坏一直是我国高等级沥青路面最典型的也最具有危害性的病害形式之一。国内外学者对沥青路面的高温蠕变行为进行了大量的研究,尤其是试验方法方面,美国NCHRP研究计划开展了沥青混合料的简单性能试验方法的研究,最终发现动态模量试验和动态蠕变试验能很好地评价和预测沥青混合料的抗高温车辙能力。Permanent deformation damage such as rutting has always been one of the most typical and harmful disease forms of high-grade asphalt pavement in my country. Scholars at home and abroad have done a lot of research on the high-temperature creep behavior of asphalt pavement, especially in terms of test methods. The NCHRP research project in the United States has carried out research on simple performance test methods for asphalt mixtures, and finally found that the dynamic modulus test and dynamic creep The test can well evaluate and predict the high temperature rutting resistance of asphalt mixture.
然而,动态蠕变试验是基于单一荷载的半正弦波加载方式,这种加载方式和实际路面所受轴载差别巨大。However, the dynamic creep test is based on the half-sine wave loading method of a single load, which is very different from the axle load on the actual road surface.
因而,现有的计算方法的结果与实际情况出入很大,无法在实际应用中实现路面维护的效果。Therefore, the result of the existing calculation method is very different from the actual situation, and the effect of pavement maintenance cannot be realized in practical application.
发明内容Contents of the invention
本发明要解决的技术问题是现有的动态蠕变试验是基于单一荷载的半正弦波加载方式,这种加载方式和实际路面所受轴载差别巨大,无法在实际应用中实现路面维护的效果。The technical problem to be solved by the present invention is that the existing dynamic creep test is based on the half-sine wave loading method of a single load. This loading method is very different from the axle load on the actual road surface, and the effect of road surface maintenance cannot be realized in practical applications. .
为解决上述技术问题,本发明采用的技术方案是:一种基于轴载谱的沥青混合料多级加载高温蠕变曲线分析方法,包括以下步骤:1)将沥青混合料多级加载高温蠕变曲线分为三个阶段:第一阶段:即沥青混合料多级加载开始后的第一个加载次序时间段;第二阶段:即第一个加载次序时间段结束后,每一级应力水平加载产生的微应变都呈现线性增长的累积微应变线性增长阶段;第三阶段:即沥青混合料处于高温失稳状态的累积微应变快速增长阶段;2)根据分段后的数据计算三大指数,所述三大指数包括荷载敏感性指标LSI、蠕变损伤夹角CDA和复合流变次数MFN;荷载敏感性指标LSI:选择第二阶段中3-5个不同的应力水平下累积微应变和荷载作用次数的关系进行线性拟合,获取相应的不同应力水平下的蠕变曲线的斜率,该斜率即为微应变的增长速率,利用幂函数,Δε=a·σLSI进行拟合得到荷载敏感性指数LSI,其中,σ为应力水平;Δε为微应变增长速率;a为回归系数;蠕变损伤夹角CDA:提取并分析第二阶段的前两个大循环,加载次序为二、三、四、一;第二加载次序的起点为A,第二个第一加载次序的终点为B,第三个第一加载次序的终点为C;连接AB和BC,AB和BC所夹的锐角为蠕变损伤角CDA,通过公式求得CDA;其中,εA、εB、εC分别为A,B,C三点的累积微应变;nA、nB、nC分别为A,B,C三点的累积作用次数;复合流变次数MFN:为第二阶段和第三阶段分界处的次数值,即累积微应变随作用次数呈现线性增长的终止点。In order to solve the above-mentioned technical problems, the technical solution adopted in the present invention is: a method for analyzing the high-temperature creep curve of asphalt mixture multi-stage loading based on shaft-loaded spectrum, comprising the following steps: 1) Asphalt mixture multi-stage loading high-temperature creep curve The curve is divided into three stages: the first stage: that is, the first loading sequence time period after the multi-stage loading of asphalt mixture starts; the second stage: after the end of the first loading sequence time period, each level of stress level is loaded The generated micro-strains all show a linear growth stage of the cumulative micro-strain linear growth stage; the third stage: the rapid growth stage of the cumulative micro-strain in which the asphalt mixture is in a state of high-temperature instability; 2) Calculate the three major indices based on the segmented data, The three indexes include load sensitivity index LSI, creep damage angle CDA and composite rheological number MFN; load sensitivity index LSI: select the cumulative microstrain and load under 3-5 different stress levels in the second stage The relationship between the number of actions is linearly fitted to obtain the slope of the creep curve under different stress levels. The slope is the growth rate of the micro-strain. The power function, Δε=a·σ LSI is used to fit the load sensitivity Exponential LSI, where σ is the stress level; Δε is the micro-strain growth rate; a is the regression coefficient; creep damage angle CDA: extract and analyze the first two major cycles in the second stage, and the loading sequence is two, three, four 1. The starting point of the second loading sequence is A, the end point of the second first loading sequence is B, and the end point of the third first loading sequence is C; connecting AB and BC, the acute angle between AB and BC is creep Variable damage angle CDA, through the formula Obtain CDA; among them, ε A , ε B , ε C are the cumulative microstrains of A, B, C respectively; n A , n B , n C are the cumulative action times of A, B, C respectively; Composite rheological number MFN: the number value at the boundary between the second stage and the third stage, that is, the end point where the cumulative microstrain increases linearly with the number of actions.
进一步,所述步骤2)中第二阶段中选择的不同的应力水平数目为四。将应力水平数目定为四是因为,选择数目太少影响实验结果的精确度,选择的数目太多会导致计算量太大,选择数目为四即能满足精确度的要求,又不会造成计算的负荷量太大。Further, the number of different stress levels selected in the second stage in step 2) is four. The reason for setting the number of stress levels to four is that too few selections will affect the accuracy of the experimental results, and too many selections will lead to a large amount of calculation. The selection of four can meet the accuracy requirements without causing the calculation The load is too large.
本发明的优点是:该评价方法简单易行,通过荷载敏感性指标LSI,蠕变损伤夹角CDA评价沥青混合料在不同应力水平下的蠕变特性,分析其对于荷载的敏感程度,并依据复合流变次数MFN评价材料在实际轴载谱的作用下的抗永久变形能力,为指导道路工程实践,尤其是我国高速公路养护维修工程的方案决策提供准确的、直观的数字化依据。The advantages of the present invention are: the evaluation method is simple and easy, and the creep characteristics of the asphalt mixture under different stress levels are evaluated by the load sensitivity index LSI and the creep damage angle CDA, and its sensitivity to the load is analyzed, and according to The composite rheological number MFN evaluates the permanent deformation resistance of materials under the action of the actual axial load spectrum, and provides accurate and intuitive digital basis for guiding road engineering practice, especially for the decision-making of highway maintenance projects in my country.
附图说明Description of drawings
图1为蠕变曲线第二阶段线性拟合图;Fig. 1 is the linear fitting diagram of the second stage of the creep curve;
图2为蠕变曲线蠕变损伤角CDA计算示意图;Figure 2 is a schematic diagram of the calculation of the creep damage angle CDA of the creep curve;
图3为蠕变曲线复合流变次数MFN确定方法示意图。Fig. 3 is a schematic diagram of the method for determining the compound rheological number MFN of the creep curve.
具体实施方式detailed description
下面结合附图和具体实施方式对本发明做进一步说明。The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.
本发明方法包括以下步骤:The inventive method comprises the following steps:
1)将沥青混合料多级加载高温蠕变曲线分为三个阶段:1) The high-temperature creep curve of asphalt mixture under multi-stage loading is divided into three stages:
第一阶段为初始压密阶段,控制在第一加载次序内完成;第一阶段结束后,为第二阶段,第二阶段为累积微应变线性增长阶段,该阶段内每一级应力水平加载产生的微应变都是呈现线性增长,但是随应力水平的变化,微应变增长的速率也有很大的变化;第二阶段结束后,进入第三阶段,第三阶段为累积微应变快速增长阶段,该阶段沥青混合料已经处于高温失稳的状态。The first stage is the initial compaction stage, and the control is completed within the first loading sequence; after the end of the first stage, it is the second stage, and the second stage is the linear growth stage of cumulative micro-strain, in which each level of stress level loading produces The microstrains of the microstrains all show a linear growth, but with the change of the stress level, the growth rate of the microstrains also changes greatly; Stage asphalt mixture is already in a state of high temperature instability.
2)根据分段后的数据计算三大指数,所述三大指数包括荷载敏感性指标LSI、蠕变损伤夹角CDA和复合流变次数MFN。2) Three major indexes are calculated according to the segmented data, and the three major indexes include load sensitivity index LSI, creep damage angle CDA and compound rheological number MFN.
如图1所示,为荷载敏感性指标LSI的计算方式,对第二阶段中四个不同应力水平下累积微应变和荷载作用次数的关系进行线性拟合,提取不同应力水平下微应变的增长速率值,利用幂函数,如公式1所示,进行拟合,荷载敏感性指标LSI为拟合结果的指数值。LSI越大说明应力水平的差异越大,微应变增长的速率差异越大,即该沥青混合料对荷载的变化较为敏感。As shown in Figure 1, it is the calculation method of the load sensitivity index LSI. The relationship between the cumulative micro-strain and the number of load actions under the four different stress levels in the second stage is linearly fitted, and the growth of the micro-strain under different stress levels is extracted. The rate value is fitted using a power function, as shown in formula 1, and the load sensitivity index LSI is the index value of the fitting result. The greater the LSI, the greater the difference in the stress level and the greater the difference in the growth rate of the micro-strain, that is, the asphalt mixture is more sensitive to the change of the load.
Δε=a·σLSI(1)Δε=a·σ LSI (1)
其中:in:
σ:应力水平;σ: stress level;
Δε:微应变增长速率;Δε: micro-strain growth rate;
a:回归系数。a: Regression coefficient.
如图2所示,为蠕变损伤夹角CDA的计算方式,除去属于蠕变曲线第一阶段(压密阶段)的第一加载次序,将后面的属于第二阶段的前两个大循环(加载次序为二、三、四、一)提取出来进行分析。A点为第二加载次序的起点,B点为第二个第一加载次序的终点,C点为第三个第一加载次序的终点。连接AB和BC,AB和BC所夹的锐角为蠕变损伤角CDA,用公式2计算。CDA越小,说明该沥青混合料产生蠕变损伤的速率较均衡,由于循环1和循环2的累积作用次数相同,说明循环1和循环2产生的累积微应变相差不大,因此该沥青混合料对循环轴载应力的作用不敏感。As shown in Figure 2, for the calculation method of the creep damage angle CDA, the first loading sequence belonging to the first stage (compacting stage) of the creep curve is removed, and the first two large cycles belonging to the second stage ( The loading sequence is two, three, four, one) extracted for analysis. Point A is the starting point of the second loading sequence, point B is the end point of the second first loading sequence, and point C is the end point of the third first loading sequence. Connect AB and BC, and the acute angle between AB and BC is the creep damage angle CDA, which is calculated by formula 2. The smaller the CDA, the more balanced the rate of creep damage of the asphalt mixture. Since the cumulative action times of cycle 1 and cycle 2 are the same, it shows that the cumulative micro-strain produced by cycle 1 and cycle 2 is not much different. Therefore, the asphalt mixture Insensitive to the effects of cyclic axle load stresses.
其中:in:
εA、εB、εC:A,B,C三点的累积微应变;ε A , ε B , ε C : Cumulative micro-strain at three points A, B, and C;
nA、nB、nC:A,B,C三点的累积作用次数。n A , n B , n C : the cumulative action times of points A, B, and C.
基于轴载谱的沥青混合料多级加载高温蠕变试验方法相较于标准动态蠕变试验,考虑了实际路面不同轴重的荷载的影响,通过分析基于轴载谱的沥青混合料多级加载高温蠕变试验曲线发现在蠕变的第二阶段,尽管应力水平在变化,沥青混合料的累积微应变的发展依旧是呈现线性的增长趋势,只是增长的速率有所变化,因此,定义任意一个加载次序内,只要沥青混合料的累积微应变随作用次数呈现线性增长趋势,即说明该阶段仍然属于第二阶段,并没有达到快速增长的第三阶段。Compared with the standard dynamic creep test, the multi-stage loading high-temperature creep test method of asphalt mixture based on the axle load spectrum takes into account the influence of different axle loads on the actual pavement. The high-temperature creep test curve found that in the second stage of creep, although the stress level is changing, the development of the cumulative micro-strain of the asphalt mixture still shows a linear growth trend, but the growth rate changes. Therefore, any definition In a loading sequence, as long as the cumulative microstrain of asphalt mixture shows a linear growth trend with the number of actions, it means that this stage still belongs to the second stage and has not reached the third stage of rapid growth.
如图3所示,第二阶段和第三阶段分界处的次数值即未复合流变次数MFN的数值,所述复合流变次数MFN定义为累积微应变随着作用次数呈现线性增长的终止点。MFN越大说明该沥青混合料材料在该轴载谱的作用下抵抗永久变形的能力就越强。As shown in Figure 3, the value of the number at the boundary between the second stage and the third stage is the value of the uncompounded rheological number MFN, and the composite rheological number MFN is defined as the termination point where the cumulative micro-strain increases linearly with the number of actions . The larger the MFN, the stronger the ability of the asphalt mixture material to resist permanent deformation under the action of the axial load spectrum.
本发明通过将传统的沥青混合料多级加载高温蠕变曲线分为三个阶段,依次计算荷载敏感性指标LSI,蠕变损伤夹角CDA评价沥青混合料在不同应力水平下的蠕变特性,分析其对于荷载的敏感程度,并依据复合流变次数MFN评价材料在实际轴载谱的作用下的抗永久变形能力,为指导道路工程实践,尤其是我国高速公路养护维修工程的方案决策提供准确的、直观的数字化依据。The present invention divides the traditional multi-stage loading high temperature creep curve of asphalt mixture into three stages, calculates the load sensitivity index LSI and the creep damage angle CDA to evaluate the creep characteristics of asphalt mixture under different stress levels, Analyze its sensitivity to the load, and evaluate the anti-permanent deformation ability of the material under the action of the actual axle load spectrum according to the composite rheological number MFN, and provide accurate information for guiding the practice of road engineering, especially for the decision-making of highway maintenance and repair projects in my country. , intuitive digital basis.
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CN111982654A (en) * | 2020-08-20 | 2020-11-24 | 中国核工业中原建设有限公司 | Asphalt mortar multiple stress creep curve analysis method based on road intersection driving behavior combination |
CN111982654B (en) * | 2020-08-20 | 2021-06-29 | 中国核工业中原建设有限公司 | Asphalt mortar multiple stress creep curve analysis method based on road intersection driving behavior combination |
CN112067457A (en) * | 2020-09-02 | 2020-12-11 | 南京林业大学 | Method for predicting creep deformation of asphalt mixture by using logistic street model |
CN114741843A (en) * | 2022-03-10 | 2022-07-12 | 东南大学 | Method for predicting high-temperature creep variability of asphalt mixture |
CN114741843B (en) * | 2022-03-10 | 2024-11-08 | 东南大学 | A method for predicting high temperature creep variability of asphalt mixtures |
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