纤维增强混凝土氯离子扩散系数的多尺度预测模型

童良玉; 刘清风

doi:10.13801/j.cnki.fhclxb.20220422.003

纤维增强混凝土氯离子扩散系数的多尺度预测模型

doi: 10.13801/j.cnki.fhclxb.20220422.003

童良玉¹,
刘清风^{1, 2, ,}

1.
上海交通大学　船舶海洋与建筑工程学院土木工程系，上海 200240
2.
上海市公共建筑和基础设施数字化运维重点实验室，上海 200240

基金项目: 国家自然科学基金面上项目(51978396)；上海市“青年科技启明星计划”(19QA1404700)；上海交通大学深蓝计划(SL2021MS016)

详细信息

通讯作者:
刘清风，博士，副教授，博士生导师，研究方向为混凝土耐久性　E-mail: liuqf@sjtu.edu.cn

中图分类号: TU528
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出版历程
- 收稿日期: 2022-02-11
- 修回日期: 2022-04-15
- 录用日期: 2022-04-15
- 网络出版日期: 2022-04-24
- 刊出日期: 2022-11-01

Multi-scale prediction model of chloride diffusivity of fiber reinforced concrete

TONG Liangyu¹,
LIU Qingfeng^{1, 2
, ,}

1.
State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean & Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
2.
Shanghai Key Laboratory for Digital Maintenance of Buildings and Infrastructure, Shanghai 200240, China

摘要

摘要: 纤维增强混凝土材料属于多相非均质复合材料，其宏观耐久性能由微观和细观的组分占比和夹杂关系共同决定。为考虑纤维增强混凝土材料不同尺度下的非均质性对整体氯离子扩散系数的影响，本文基于从微观到宏观的多尺度方法选取了不同层级代表单元，建立了纤维增强混凝土氯离子扩散系数多尺度预测模型。模型在充分考虑微观水泥水化过程和阈值效应的基础上，分析了细观尺度下纤维、骨料及其与水泥浆体的结合界面对混凝土宏观扩散性能的共同影响，并探究了纤维尺寸、纤维-浆体界面过渡区厚度等因素与扩散系数之间的影响关系，且通过第三方试验对模型的可靠性进行了验证。参数化分析的结果表明，当水灰比大于一定限值(约为0.45)，水泥浆体的氯离子扩散系数与水灰比呈指数增长，而在细观层级上，纤维-浆体界面过渡区是影响混凝土整体扩散性能的主要因素：纤维掺量的增加和纤维直径的减小都会增大界面过渡区的体积，而较高的纤维过渡区体积占比和纤维界面扩散系数都会增大纤维增强混凝土的宏观氯离子扩散系数。结果还表明混凝土扩散系数与纤维掺量之间并无直接关系，而需要综合考虑纤维直径、界面过渡区厚度等各种因素的影响。本文所提模型能够有效预测纤维增强混凝土的扩散系数，进而更高效的评估纤维掺入对混凝土耐久性的影响，并基于预测结果为工程实践提供理论指导和技术参考。
- 纤维增强混凝土 /
- 多尺度 /
- 氯离子扩散系数 /
- 均质化方法 /
- 界面过渡区
Abstract: Fiber reinforced concrete (FRC) is a complex heterogeneous composite material, and its macro durabi-lity will be determined by the microscopic and mesoscopic components. By electing representative elements, a multi-scale model was established in this study to predict the chloride diffusivity of FRC with the consideration of heterogeneous feathers from micro to macro scale. In the present model, the percolation effect and the interface transition zones (ITZs) between fiber, aggregate and cement paste were carefully considered. Taking basalt fiber concrete as an example, the model was verified by experimental data and the influential parameters were discussed in detail. The results show when the water to cement ratio (w/c) exceeds a certain limit (about 0.45), the chloride diffusivity of FRC increases exponentially with the w/c, and results also indicate that the chloride diffusivity of FRC is mainly affected by the ITZs between the fiber and the cement paste. Adding the fiber content or decreasing the diameter of fibers will all increase the volume fraction of ITZs and lead to a poor chloride resistance performance. However, it is interestingly to find that no fixed negative or positive relationship exist between chloride diffusivity of FRC and the fiber content. The proposed model can effectively predict the diffusivity of FRC and hope to provide guidance or reference for engineering practice.
- fiber reinforced concrete /
- multiscale /
- chloride diffusivity /
- homogenization /
- interface transition zones

HTML全文

图 1 基于代表体积单元的纤维增强混凝土多尺度划分

CH—Calcium hydroxide; C-S-H—Hydrated calcium silicate

Figure 1. Multi-scale description of fiber reinfoced concretewith RVEs

下载: 全尺寸图片幻灯片

图 2 等效骨料示意图

Figure 2. Sketch of equivalent aggregate

t_a—Thickness of AITZ; r_a—Radius of aggregate; V_a—Volume of aggregate; V_{a_itz}—Volume of AITZ; AITZ—Interface transition zone of aggregate

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图 3 人造纤维示例图

Figure 3. Example of man-made fiber

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图 4 等效纤维示意图

Figure 4. Sketch of equivalent fiber

t_f—Thickness of FITZ; r_f—Radius of fiber; V_f—Volume of fiber; V_{f_itz}—Volume of FITZ; FITZ—Interface transition zone of fiber

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图 5 纤维三维空间胶结示意图

Figure 5. Sketch of fiber space cementation in three-dimension

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图 6 预测的水泥浆体扩散系数与试验结果对比

MT—Mori-Tanaka method; SC—Self-consistent method

Figure 6. Comparation of predicted chloride diffusivity of bulk cement paste with experimental results

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图 7 预测的纤维增强混凝土氯离子扩散系数与试验对比

Figure 7. Comparison between predicted chloride diffusivity of fiber reinforced concrete and experimental results

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图 8 纤维直径 (a)、纤维界面厚度 (b)、纤维界面氯离子扩散系数 (c) 对纤维增强混凝土整体抗氯离子侵蚀能力的影响

D_bcp—Diffusivity of bulk cement paste; D_{f_itz}—Diffusivity of interface transition zone of fiber

Figure 8. Effects of fiber diameter (a), fiber interface thickness (b) and fiber interface chloride diffusivity (c) on the overall chloride diffusivity of fiber reinforced concrete

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表 1 试验获得的水泥基氯离子渗透扩散系数

Table 1. Experimental results of the chloride diffusivity in ordinary portland bulk cement paste

Reference	Index	w/c	${D}_{\mathrm{b}\mathrm{c}\mathrm{p} }^{\mathrm{e}\mathrm{x}\mathrm{p} }$/(10⁻¹² m²·s⁻¹)	Curing condition
Ngala et al^[46]	N95	0.40	3.65	70 days in 0.035 mol NaOH solution
			3.95
			4.35
		0.50	7.16
			7.80
			8.06
		0.60	10.40
			12.60
			17.80
Ngala et al^[47]	N97	0.40	4.06	70 days in 0.035 mol NaOH solution
		0.50	7.87
		0.60	12.70
MacDonald et al^[48]	M95	0.40	2.56	56 days at 100% of relative humidity No saturation before testing
		0.40	2.78
		0.50	6.80
		0.50	7.28
Princigallo^[49]	P12	0.30	1.38	420 days in 90% saturated NaCl solution
Princigallo^[49]	P12	0.33	1.51	420 days in 90% saturated NaCl solution
Notes: $ {D}_{\mathrm{b}\mathrm{c}\mathrm{p}}^{\mathrm{e}\mathrm{x}\mathrm{p}} $—Chloride diffusion coefficient of bulk cement paste tested by experiment; w/c—Water to cement ratio.

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表 2 纤维增强混凝土试验参数与结果

Table 2. Experimental parameters and results of fiber reinforced concrete

Reference	Fiber type	w/c	Fiber diameter/mm	Fiber length/mm	Aggregate volume fraction/vol%
Guo et al^[13]	BF	0.32	0.022	12	50
	Experimental results
Fiber volume fraction A_f/vol%	0.00	0.15	0.30	0.45	0.60
Chloride diffusivity ${D}^{\mathrm{e}\mathrm{x}\mathrm{p} }/({10}^{-12}\;{\mathrm{m} }^{2} \cdot{\mathrm{s} }^{-1})$	1.41	1.72	1.87	2.03	2.14
Note: BF—Blast fiber.

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