结构负触变效应下当量沥青混凝土层厚度换算与弯沉指标修正

王旭东; 李倩; 刘旭; 蔡秋香

doi:10.19818/j.cnki.1671-1637.2025.03.012

结构负触变效应下当量沥青混凝土层厚度换算与弯沉指标修正

doi: 10.19818/j.cnki.1671-1637.2025.03.012

王旭东¹,
李倩^{1, 2, ,},
刘旭¹,
蔡秋香¹

1.
交通运输部公路科学研究院，北京 100088
2.
河北大学建筑工程学院，河北保定 071002

基金项目:

科技基础资源调查专项项目 2022FY101400

交通运输部公路科学研究所(院)交通强国试点项目 QG2021-1-1-1

中央级公益性科研院所基本科研业务费专项项目 2023-9024

中央级公益性科研院所基本科研业务费专项项目 2024-9004

详细信息

作者简介:
王旭东(1968-)，男，江苏苏州人，交通运输部公路科学研究院研究员，工学博士，从事沥青路面长期性能研究

通讯作者:
李倩(1988-)，女，陕西扶风人，河北大学讲师，工学博士

中图分类号: U416.27
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- 被引次数: 0
出版历程
- 收稿日期: 2024-09-26
- 录用日期: 2025-03-10
- 修回日期: 2025-01-07
- 刊出日期: 2025-06-28

Equivalent AC layer thickness conversion and deflection index correction based on structural negative thixotropic effect

WANG Xu-dong¹,
LI Qian^{1, 2
, ,},
LIU Xu¹,
CAI Qiu-xiang¹

1.
Research Institute of Highway Ministry of Transport, Beijing 100088, China
2.
College of Civil Engineering and Architecture, Hebei University, Baoding 071002, Hebei, China

Funds:

Science & Technology Fundamental Resources Investigation Program 2022FY101400

Research Institute of Highway Ministry of Transport Transportation Power Pilot Project QG2021-1-1-1

Special Fund of Chinese Central Government for Basic Scientific Research Operations in Commonweal Research Institutes 2023-9024

Special Fund of Chinese Central Government for Basic Scientific Research Operations in Commonweal Research Institutes 2024-9004

More Information

Corresponding author: LI Qian (1988-), female, lecturer, PhD, lixiaoqian215@hbu.edu.cn

Article Text (Baidu Translation)

摘要

摘要: 为揭示落锤式弯沉仪(FWD)瞬时荷载作用下沥青路面结构弯沉的本质规律，以RIOHTrack足尺试验环道上具有相同路基和基层条件的5个结构为基准结构，分析FWD瞬时冲击荷载作用下沥青路面弯沉指标随厚度的变化规律；在此基础上，基于等刚度原理推导环道不同基层结构的当量沥青混凝土(AC)层厚度，从而将环道19个路面结构简化为当量AC层+路基的双层体系结构；据此提出了一个基于承载能力指标的沥青路面结构简易设计方法，并考虑土基模量和上部结构当量AC层模量，构建了理论弯沉指标的综合修正模型。研究结果表明：FWD瞬时荷载作用下沥青路面结构具有显著的负触变效应，即在相同路基及基层条件下，弯沉指标表现出随沥青层厚度增加而减小的规律，这一现象在不同荷载水平和环境条件下均得到了验证；路面结构当量AC层厚度与实测弯沉盆面积相关性在99%以上，证明提出的当量AC层厚度换算方法具有较好的可靠性；与传统的弯沉综合修正模型相比，提出的F修正模型可以同时考虑路基模量和上部结构条件，从而弥补现有弯沉修正方法不考虑路面结构型式影响的缺陷。研究成果可以为沥青路面设计提供一个简单可行的经验方法。
- 路面工程 /
- 沥青路面 /
- 当量AC层换算 /
- 弯沉指标 /
- 负触变效应 /
- 弯沉综合修正 /
- RIOHTrack足尺试验环道
Abstract: To reveal the essential law of asphalt pavement structure deflection under instantaneous loads of falling weight deflectometer (FWD), five structures on the RIOHTrack full-scale test track under the same subgrade and base conditions were seen as benchmark structures, and the variation law of asphalt pavement deflection index with thickness under instantaneous impact loads of FWD was analyzed. Based on the principle of equal stiffness, the equivalent asphalt concrete (AC) layer thickness for different base structures of RIOHTrack was derived, and the 19 pavement structures were simplified into a double-layer system consisting of equivalent AC layer + subgrade. A simple design method for asphalt pavement structure based on bearing capacity index was proposed, and a comprehensive correction model for theoretical deflection index was constructed by considering soil modulus and equivalent AC layer modulus of the superstructure. Research results indicate that under instantaneous loads of FWD, asphalt pavement structures have significant negative thixotropic effects. The deflection index shows a decreasing trend with the increase in asphalt layer thickness under the same subgrade and base conditions. This phenomenon has been verified under different load levels and environmental conditions. The correlation between the equivalent AC layer thickness of the pavement structure and the measured deflection basin area is over 99%, which proves that the proposed equivalent AC layer thickness conversion method has good reliability. Compared with the traditional comprehensive deflection correction models, the F correction model proposed considers both the subgrade and the superstructure modulus, thus compensating for the deficiency of existing deflection correction methods that fail to consider the impact of the pavement structure form. The research results can provide a simple and feasible method for the asphalt pavement structure design.
- pavement engineering /
- asphalt pavement /
- equivalent AC layer thickness conversion /
- deflection index /
- negative thixotropic effect /
- comprehensive deflection correction /
- RIOHTrack full-scale test track

HTML全文

图 1 RIOHTrack足尺环道结构形式及材料组成

Figure 1. Structure forms and material compositions of RIOHTrack full-scale test track

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图 2 FWD传感器及其位置

Figure 2. FWD sensors and their locations

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图 3 不同检测周期基准结构的弯沉盆面积对比

Figure 3. Comparison of deflection basin areas of benchmark structures in different detection cycles

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图 4 不同季节基准结构的弯沉盆面积对比

Figure 4. Comparison of deflection basin areas of benchmark structures in different seasons

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图 5 不同荷载水平下弯沉指标随AC层厚度的变化

Figure 5. Variation of deflection index with AC layer thickness under different load levels

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图 6 不同季节条件下弯沉指标随AC层厚度的变化

Figure 6. Variation of deflection indexes with AC layer thickness in different seasons

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图 7 当量AC层厚度与弯沉盆面积的散点图

Figure 7. Scatter diagram of equivalent AC layer thickness and deflection basin area

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表 1 基准结构实测弯沉盆面积及AC层厚度

Table 1. Measured deflection basin areas and AC layer thickness of benchmark structures

序号	结构	平均S_S/ 0.01 mm²	h_AC/cm
序号	结构	平均S_S/ 0.01 mm²	设计	计算	差值
1	STR2	74.34	12	12.10	0.10
2	STR6	69.83	16	14.68	-1.32
3	STR7	64.00	18	19.22	1.22
4	STR13	59.09	24	24.59	0.59
5	STR11	57.29	28	27.06	-0.94

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表 2 非基准结构实测弯沉盆面积及AC层厚度

Table 2. Measured deflection basin areas and AC layer thickness of non-benchmark structures

序号	结构	平均S_S/ 0.01 mm²	h_AC/cm
序号	结构	平均S_S/ 0.01 mm²	设计	计算	差值
1	STR1	61.96	12	21.24	9.24
2	STR15	62.56	36	20.61	-15.39
3	STR19	63.79	48	19.41	-28.59
4	STR14	64.11	24	19.12	-4.88
5	STR5	65.10	12	18.23	6.23
6	STR17	65.26	36	18.10	-17.90
7	STR4	67.25	12	16.50	4.50
8	STR8	68.07	18	15.89	-2.11
9	STR16	68.89	36	15.31	-20.69
10	STR9	70.20	18	14.45	-3.55
11	STR18	76.91	52	10.90	-41.10
12	STR3	92.57	12	6.15	-5.85
13	STR10	92.71	28	6.12	-21.88
14	STR12	103.00	24	4.42	-19.58

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表 3 不同基层结构的当量AC层厚度

Table 3. Equivalent AC layer thickness of different base structures

基层材料及厚度	当量AC层厚度/cm
基层材料及厚度	冬季	夏季	年均
20 cm CBG-A	18.02	21.38	19.29
20 cm CBG-B	16.90	19.00	17.54
24 cm刚性基层	21.46	28.83	24.66
20 cm CS	8.06	11.40	9.24
20 cm GB(底基层)	4.46	4.56	4.06
20 cm GB(联结层)	1.57	0.94	0.33

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表 4 当量AC层厚度与实测弯沉盆面积关系拟合结果

Table 4. Fitting results of relationship between equivalent AC layer thickness and measured deflection basin

条件	a		b		c		R²
条件	均值	方差	均值	方差	均值	方差	R²
冬季	44.81	4.856	-196.9	105.9	0.961 4	0.012 8	0.921 8
夏季	57.42	1.708	-1 601.2	1 351.8	0.933 3	0.013 0	0.902 5
年均	50.70	2.375	-439.1	287.7	0.949 7	0.011 7	0.916 4

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表 5 弯沉盆面积计算值

Table 5. Calculation values of deflection basin area

H_AC/cm	75	70	65	60	55	50
S_S/0.01mm²	59.6	62.4	66.0	70.4	75.9	82.9

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表 6 不同AC模量条件下理论弯沉盆面积的计算结果

Table 6. Calculation results of theoretical deflection basin area under different AC modulus conditions

E₀/MPa	H_AC/cm	不同E_AC(MPa)下的S_L/0.01 mm²					E₀/MPa	H_AC/cm	不同E_AC(MPa)下的S_L/0.01 mm²
E₀/MPa	H_AC/cm	5.0×10⁴	3.0×10⁴	1.5×10⁴	1.0×10⁴	5.0×10³	E₀/MPa	H_AC/cm	5.0×10⁴	3.0×10⁴	1.5×10⁴	1.0×10⁴	5.0×10³
50	75	152.6	178.4	219.5	247.0	300.7	200	75	57.9	67.1	81.4	90.8	108.7
	70	162.5	189.8	232.8	261.6	317.2		70	61.4	70.9	85.7	95.3	113.3
	65	173.9	202.6	247.9	278.0	335.7		65	65.3	75.2	90.5	100.3	118.4
	60	186.8	217.3	265.0	296.6	356.4		60	69.7	80.1	95.8	105.7	123.9
	55	201.9	234.3	284.7	317.8	379.7		55	74.8	85.7	101.8	111.8	130.0
	50	219.5	254.0	307.5	342.1	406.0		50	80.7	92.0	108.5	118.6	136.6
70	75	120.9	141.0	173.0	194.3	235.6	250	75	49.4	57.1	69.2	77.0	92.0
	70	128.6	149.8	183.2	205.4	248.0		70	52.3	60.4	72.7	80.7	95.7
	65	137.4	159.8	194.8	217.9	261.8		65	55.6	64.0	76.6	84.7	99.8
	60	147.5	171.1	207.9	231.9	277.1		60	59.3	68.0	81.0	89.1	104.2
	55	159.1	184.1	222.8	247.9	294.2		55	63.6	72.6	85.8	94.0	108.9
	50	172.7	199.3	240.0	266.0	313.3		50	68.4	77.7	91.2	99.4	114.2
90	75	101.5	118.2	144.6	162.2	196.1	300	75	43.4	50.1	60.5	67.3	80.3
	70	107.9	125.5	153.0	171.2	206.0		70	45.9	52.9	63.5	70.4	83.4
	65	115.2	133.6	162.4	181.4	217.0		65	48.7	56.0	66.8	73.8	86.7
	60	123.5	142.9	173.1	192.7	229.1		60	51.9	59.4	70.5	77.5	90.3
	55	133.1	153.6	185.2	205.5	242.6		55	55.6	63.3	74.5	81.5	94.3
	50	144.2	166.0	199.1	220.0	257.6		50	59.7	67.7	79.1	86.0	98.6
100	75	94.3	109.7	134.1	150.3	181.5	350	75	38.9	44.8	54.0	60.0	71.5
	70	100.2	116.4	141.8	158.6	190.6		70	41.1	47.2	56.6	62.7	74.2
	65	106.9	124.0	150.5	167.9	200.5		65	43.6	49.9	59.5	65.6	77.0
	60	114.6	132.5	160.3	178.2	211.5		60	46.4	53.0	62.7	68.7	80.1
	55	123.4	142.4	171.3	189.8	223.6		55	49.6	56.3	66.1	72.2	83.4
	50	133.7	153.7	184.0	203.0	237.2		50	53.2	60.1	70.0	76.0	87.0
150	75	70.9	82.3	100.2	112.0	134.6	400	75	35.3	40.7	48.9	54.3	64.8
	70	75.3	87.2	105.7	117.9	140.8		70	37.3	42.8	51.3	56.7	67.0
	65	80.2	92.7	111.9	124.3	147.5		65	39.5	45.2	53.8	59.2	69.5
	60	85.8	98.9	118.8	131.5	154.9		60	42.0	47.9	56.5	62.0	72.1
	55	92.2	105.9	126.6	139.5	163.0		55	44.9	50.9	59.6	65.0	75.0
	50	99.6	114.0	135.3	148.5	172.0		50	48.1	54.2	63.0	68.3	78.1

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表 7 Allometric1模型参数拟合结果

Table 7. Parameter fitting results by Allometric1 model

E₀/ MPa	E_AC/ MPa	A		B		R²	E₀/ MPa	E_AC/ MPa	A		B		R²
E₀/ MPa	E_AC/ MPa	均值	方差	均值	方差	R²	E₀/ MPa	E_AC/ MPa	均值	方差	均值	方差	R²
50	5.0×10⁴	7 295	106.8	-0.895 3	0.003 6	0.999 9	200	5.0×10⁴	1 980	38.2	-0.817 7	0.004 7	0.999 8
	3.0×10⁴	7 642	122.6	-0.869 8	0.003 9	0.999 9		3.0×10⁴	1 932	46.8	-0.777 9	0.005 9	0.999 7
	1.5×10⁴	7 912	143.0	-0.829 9	0.004 4	0.999 9		1.5×10⁴	1 727	53.9	-0.706 9	0.007 6	0.999 4
	1.0×10⁴	7 881	167.1	-0.801 5	0.005 2	0.999 8		1.0×10⁴	1 555	51.7	-0.657 3	0.008 1	0.999 2
	5.0×10³	7 319	209.8	-0.738 7	0.007 0	0.999 6		5.0×10³	1 241	40.3	-0.563 3	0.007 9	0.999 0
70	5.0×10⁴	5 383	84.5	-0.878 9	0.003 8	0.999 9	250	5.0×10⁴	1 576	33.4	-0.801 5	0.005 2	0.999 8
	3.0×10⁴	5 578	93.0	-0.851 4	0.004 1	0.999 9		3.0×10⁴	1 506	40.3	-0.757 2	0.006 5	0.999 6
	1.5×10⁴	5 643	116.0	-0.806 7	0.005 0	0.999 8		1.5×10⁴	1 308	42.6	-0.680 2	0.007 9	0.999 3
	1.0×10⁴	5 494	136.2	-0.773 5	0.006 1	0.999 7		1.0×10⁴	1 163	39.0	-0.628 1	0.008 2	0.999 2
	5.0×10³	4 879	154.0	-0.701 2	0.007 7	0.999 4		5.0×10³	914	28.6	-0.531 2	0.007 6	0.999 0
90	5.0×10⁴	4 269	69.0	-0.865 7	0.004 0	0.999 9	300	5.0×10⁴	1 300	30.0	-0.786 9	0.005 6	0.999 7
	3.0×10⁴	4 385	76.9	-0.836 5	0.004 3	0.999 9		3.0×10⁴	1 220	35.0	-0.738 7	0.007 0	0.999 6
	1.5×10⁴	4 332	100.0	-0.786 9	0.005 6	0.999 7		1.5×10⁴	1 037	34.5	-0.657 3	0.008 1	0.999 2
	1.0×10⁴	4 137	114.1	-0.749 5	0.006 7	0.999 6		1.0×10⁴	914	30.5	-0.603 4	0.008 1	0.999 1
	5.0×10³	3 560	117.2	-0.670 6	0.008 0	0.999 3		5.0×10³	711	21.4	-0.504 4	0.007 3	0.999 0
100	5.0×10⁴	3 870	63.3	-0.860 0	0.004 0	0.999 9	350	5.0×10⁴	1 099	27.2	-0.773 5	0.006 1	0.999 7
	3.0×10⁴	3 956	71.5	-0.829 9	0.004 4	0.999 9		3.0×10⁴	1 016	30.6	-0.722 0	0.007 4	0.999 5
	1.5×10⁴	3 865	93.7	-0.777 9	0.005 9	0.999 7		1.5×10⁴	849	28.5	-0.637 2	0.008 2	0.999 2
	1.0×10⁴	3 660	104.9	-0.738 7	0.007 0	0.999 6		1.0×10⁴	743	24.5	-0.582 1	0.008 0	0.999 1
	5.0×10³	3 111	103.4	-0.657 3	0.008 1	0.999 2		5.0×10³	574	16.5	-0.481 4	0.007 0	0.998 9
150	5.0×10⁴	2 631	46.1	-0.836 5	0.004 3	0.999 9	400	5.0×10⁴	947	24.9	-0.761 1	0.006 4	0.999 7
	3.0×10⁴	2 627	55.7	-0.801 5	0.005 2	0.999 8		3.0×10⁴	864	27.0	-0.706 9	0.007 6	0.999 4
	1.5×10⁴	2 440	69.9	-0.738 7	0.007 0	0.999 6		1.5×10⁴	712	23.9	-0.619 4	0.008 2	0.999 1
	1.0×10⁴	2 240	71.7	-0.693 0	0.007 8	0.999 4		1.0×10⁴	620	20.1	-0.563 3	0.007 9	0.999 0
	5.0×10³	1 827	61.0	-0.603 4	0.008 1	0.999 1		5.0×10³	476	13.1	-0.461 2	0.006 7	0.998 9

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表 8 Allometric1模型拟合E₀与A、B参数的拟合结果

Table 8. Fitting results of parameters E₀, A, and B by Allometric1 model

E_AC/MPa	p_A		q_A		R²	p_B		q_B		R²
E_AC/MPa	均值	方差	均值	方差	R²	均值	方差	均值	方差	R²
5.0×10⁴	301 612	13 259	-0.949	0.010 1	0.999 3	1.221	0.019 5	-0.077 0	0.003 2	0.984 9
3.0×10⁴	386 708	24 871	-1.000	0.014 9	0.998 7	1.296	0.031 8	-0.098 3	0.004 9	0.978 1
1.5×10⁴	584 441	49 339	-1.096	0.019 7	0.998 2	1.462	0.049 6	-0.139 7	0.006 8	0.979 1
1.0×10⁴	753 041	61 121	-1.162	0.019 1	0.998 6	1.582	0.057 8	-0.168 4	0.007 4	0.983 1
5.0×10³	1 055 313	60 625	-1.269	0.013 6	0.999 4	1.806	0.074 2	-0.222 8	0.008 4	0.987 6

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表 9 Allometric1模型拟合E_AC与s、t参数的拟合结果

Table 9. Fitting results of parameters E_AC, s, and t by Allometric1 model

参数	s		t		R²
参数	均值	方差	均值	方差	R²
p_A	1.11×10⁸	1.70×10⁷	-0.545 4	0.016 8	0.996 9
-q_A	3.791	0.114 9	-0.128 7	0.003 2	0.997 6
p_B	8.007	0.581 3	-0.175 7	0.007 6	0.992 6
-q_B	10.606	1.439 7	-0.452 2	0.014 8	0.996 4

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参考文献(22)

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