硅酸盐学报

基于格子Boltzmann-近场动力学耦合的混凝土锈胀开裂多尺度数值模拟

PDF下载

张跃 , 王立成

硅酸盐学报 | 混凝土耐久性机理表征与预测方法专题—研究论文 2026,54(2): 742-753

收起

硅酸盐学报 |混凝土耐久性机理表征与预测方法专题—研究论文 2026 , 54 (2) : 742 -753

基于格子Boltzmann-近场动力学耦合的混凝土锈胀开裂多尺度数值模拟

全屏

[Author(id=1322572675877286460, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=zhangyuekobe@foxmail.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322572675952783934, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, authorId=1322572675877286460, language=EN, stringName=Yue ZHANG, firstName=Yue, middleName=null, lastName=ZHANG, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, Liaoning, China, bio={"content":"

ZHANG Yue (1994-), male, Doctoral candidate. E-mail: zhangyuekobe@foxmail.com

"}, bioImg=null, bioContent=

ZHANG Yue (1994-), male, Doctoral candidate. E-mail: zhangyuekobe@foxmail.com

, aboutCorrespAuthor=null), CN=AuthorExt(id=1322572676011504191, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, authorId=1322572675877286460, language=CN, stringName=张跃, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=大连理工大学，海岸与海洋工程全国重点实验室，辽宁大连 116024, bio={"content":"

张跃（1994—），男，博士研究生。

"}, bioImg=null, bioContent=

张跃（1994—），男，博士研究生。

, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1322572675671765560, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, xref=null, ext=[AuthorCompanyExt(id=1322572675680154169, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, companyId=1322572675671765560, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, Liaoning, China), AuthorCompanyExt(id=1322572675692737082, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, companyId=1322572675671765560, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=大连理工大学，海岸与海洋工程全国重点实验室，辽宁大连 116024)])]), Author(id=1322572676074418753, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, orderNo=1, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=wanglich@dlut.edu.cn, emailSecond=null, emailThird=null, correspondingAuthor=1, authorType=1, ext={EN=AuthorExt(id=1322572676137333315, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, authorId=1322572676074418753, language=EN, stringName=Licheng WANG, firstName=Licheng, middleName=null, lastName=WANG, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, Liaoning, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322572676204442180, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, authorId=1322572676074418753, language=CN, stringName=王立成, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=大连理工大学，海岸与海洋工程全国重点实验室，辽宁大连 116024, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1322572675671765560, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, xref=null, ext=[AuthorCompanyExt(id=1322572675680154169, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, companyId=1322572675671765560, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, Liaoning, China), AuthorCompanyExt(id=1322572675692737082, tenantId=1146029695717560320, journalId=1263187385517883426, articleId=1321945006928147365, companyId=1322572675671765560, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=大连理工大学，海岸与海洋工程全国重点实验室，辽宁大连 116024)])])]

张跃, 王立成

作者信息

大连理工大学，海岸与海洋工程全国重点实验室，辽宁大连 116024

通讯作者:

王立成（1975—），男，博士，教授。

作者简介:

张跃（1994—），男，博士研究生。

Multiscale Numerical Simulation of Corrosion-Induced Cracking in Concrete Using a Coupled Lattice Boltzmann-Peridynamic Model

Yue ZHANG, Licheng WANG

Affiliations

State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, Liaoning, China

Corresponding Author:

WANG Licheng (1975-), male, Ph.D., Professor. E-mail: wanglich@dlut.edu.cn

ZHANG Yue (1994-), male, Doctoral candidate. E-mail: zhangyuekobe@foxmail.com

出版时间: 2026-02-20 doi: 10.14062/j.issn.0454-5648.20250338

文章导航

摘要

收起

为研究混凝土中氯离子扩散与锈胀裂缝扩展的耦合过程，建立了一个扩散-力耦合的格子Boltzmann-近场动力学（LB-PD）模型。模型中采用生成-投放方法重建混凝土的细观结构，包括骨料、砂浆及界面过渡区。通过调整扩散-力耦合的格子Boltzmann粒子分布函数的松弛时间和定义多类型的近场动力学（PD）键，实现了氯离子扩散与锈胀裂缝扩展的跨尺度耦合模拟。在此基础上，结合近场动力学微分算子建立了基于应力的PD键断裂准则。为准确表征裂缝形态，引入Zhang-Suen细化算法提取锈胀裂缝骨架，并据此定量评估内部裂缝的长度与宽度。最后，采用该模型模拟了顶部带有1根及3根钢筋的混凝土保护层的锈胀开裂过程。模拟结果表明，该模型可有效捕捉多尺度锈胀裂缝的演化特征；骨料的存在不仅阻碍裂缝扩展，还延缓氯离子的渗透，从而减轻钢筋锈蚀程度并抑制裂缝萌生。

关键词

格子Boltzmann方法 / 近场动力学 / 锈胀裂缝 / 氯离子扩散

Abstract

收起

Introduction

In reinforced concrete (RC) structures exposed to chloride salt environments, the internal pore system provides pathways for chloride ion transport. Chloride ions that penetrate the concrete induce reinforcement corrosion and subsequent expansion, thus leading to concrete cracking. The newly formed cracks further accelerate chloride penetration and exacerbate structural deterioration. Numerical approaches provide an effective way for analyzing these coupled processes. However, conventional methods such as the finite element method, the extended finite element method, and the phase-field method are based on local theories, which makes it difficult to accurately capture displacement discontinuities during crack evolution. Consequently, the quantitative prediction of crack length and width remains a considerable challenge. Moreover, despite the development of numerous models, the most existing approaches are limited to individual physical processes and cannot fully represent their interactions. To address these limitations and investigate the corrosion-induced cracking behavior of concrete, it is essential to establish a coupled model of chloride diffusion and corrosion-induced cracking, enabling the quantitative prediction of the length and width of internal corrosion-induced cracks.

Methods

In this study, a diffusion-mechanics coupled lattice Boltzmann-peridynamic (LB-PD) model was proposed to simulate corrosion-induced cracking in concrete during chloride ion diffusion. A generation-placement method was employed to construct the concrete meso-structure, incorporating aggregates, mortar, and the interfacial transition zone (ITZ). Chloride ion transport within cracked concrete was simulated by using the lattice Boltzmann method (LBM), where cross-scale transport between the concrete matrix and ITZ was achieved via adjusting the LBM particle distribution functions. Meanwhile, corrosion-induced cracks at different scales were captured via categorizing the bonds in the peridynamic (PD) model into three distinct types, namely mortar bonds, aggregate bonds, and ITZ bonds. The processes both were accomplished without the need for additional mesh refinement. A stress-based PD bond failure criterion was further established based on the Peridynamic differential operator (PDDO). To accurately characterize the crack morphology, the Zhang-Suen thinning algorithm was introduced to extract the skeleton of corrosion cracks, and the crack length and width were quantitatively evaluated based on the crack skeleton.

Results and discussion

The proposed LB-PD model is employed to simulate corrosion-induced cracking in concrete cover for specimens containing single and three reinforcing bars. In the single-reinforcement case, the simulations are conducted with and without considering the coupling between chloride diffusion and reinforcement corrosion. The results indicate that the coupling significantly accelerates crack propagation, although the crack initiation time remains largely unaffected. Cracks initiate predominantly around the reinforcement and extend outward along ITZ between aggregates and the matrix, highlighting a key role of microstructural heterogeneity in controlling crack paths.

For the specimen with three reinforcements, cracks similarly initiate near the reinforcements and propagate to form a network of primary and secondary cracks. The simulations reveal that the spatial distribution of aggregates affects crack evolution. The regions with sparse aggregate distribution exhibit a faster crack growth and a more severe reinforcement corrosion, whereas denser aggregate arrangements constrain crack propagation and reduce corrosion severity. This heterogeneity also leads to a non-uniform chloride concentration on reinforcement surfaces, further affecting the initiation and development of corrosion-induced cracks.

Conclusions

The results demonstrated that the proposed model could effectively capture the coupled processes of chloride transport and reinforcement corrosion, reproducing the multi-scale evolution of cracks in reinforced concrete. The model also provided insights into the interactions between microstructural features, chloride diffusion, and mechanical cracking, which were critical for understanding the degradation mechanisms of concrete structures under chloride attack. Cross-scale simulation of chloride transport and corrosion-induced cracking could be achieved without detailed modeling of ITZ, indicating a good adaptability of the model. Furthermore, the Zhang-Suen thinning algorithm was employed to extract crack skeletons, enabling a quantitative prediction of crack length and width. The simulations also confirmed the dual restraining effect of aggregates on both crack propagation and chloride diffusion, providing a mesoscopic-level explanation for reinforcement corrosion and crack initiation mechanisms. Noted that the current model could consider only chloride diffusion and did not account for multi-ion interactions or associated chemical reactions. Future work could extend the model to a diffusion-chemical-mechanical multi-physics framework to more accurately evaluate the durability of concrete structures and optimize protective strategies.

Key words

lattice Boltzmann method / peridynamic / corrosion-induced cracking / chloride diffusion

引用本文

张跃, 王立成. 基于格子Boltzmann-近场动力学耦合的混凝土锈胀开裂多尺度数值模拟. 硅酸盐学报, 2026 , 54 (2) : 742 -753 . DOI: 10.14062/j.issn.0454-5648.20250338

Yue ZHANG, Licheng WANG. Multiscale Numerical Simulation of Corrosion-Induced Cracking in Concrete Using a Coupled Lattice Boltzmann-Peridynamic Model[J]. Journal of the Chinese Ceramic Society, 2026 , 54 (2) : 742 -753 . DOI: 10.14062/j.issn.0454-5648.20250338

基金

收起

辽宁省自然科学基金(2020-MS-100)
辽宁省“兴辽英才计划”项目(XLYC2211006)

参考文献

收起

文献

收起

参考文献引证文献

排序方式：

2026年第54卷第2期

PDF下载

引用本文

BibTeX

文章信息

doi: 10.14062/j.issn.0454-5648.20250338

接收时间：2025-04-29
首发时间：2026-10-27
出版时间：2026-02-20

补充材料

相关文章

文章信息

作者

出版历史

收稿日期：2025-04-29
修回日期：2025-05-17

基金

辽宁省自然科学基金(2020-MS-100)

辽宁省“兴辽英才计划”项目(XLYC2211006)

作者信息

大连理工大学，海岸与海洋工程全国重点实验室，辽宁大连 116024

通讯作者:

王立成（1975—），男，博士，教授。

参考文献

分享链接

https://castjournals.cast.org.cn/joweb/gsyxb/CN/10.14062/j.issn.0454-5648.20250338

分享至

全文二维码

扫描看全文

引用本文

BibTeX

本文的引用情况

2种不同金属材料的力学参数

科 Family	属数 Number of genus	种数 Number of species	占总种数比例 Percentage of total species (%)	属 Genus	种数 Number of species	占总种数比例 Percentage of total species (%)
鹅膏菌科Amanitaceae	2	11	5.26	鹅膏菌属 Amanita	10	4.78
小菇科 Mycenaceae	2	12	5.74	丝盖伞属 Inocybe	5	2.39
多孔菌科 Polyporaceae	8	14	6.70	蜡蘑属 Laccaria	5	2.39
红菇科 Russulaceae	3	23	11.00	小皮伞属 Marasmius	6	2.87
				小菇属 Mycena	11	5.26
				光柄菇属 Pluteus	5	2.39
				红菇属 Russula	17	8.13
				栓菌属 Trametes	5	2.39

关闭全屏

BibTeX
EndNote
RefWorks
TxT