A probability characteristic of crack intersecting with embedded microcapsules in capsule-based self-healing materials

The micro-cracks in a material lead to a reduction in its overall strength and service life. The emerging capsule-based self-healing system provides a new strategy for repairing the cracks, effectively delaying the potential damage of the matrix, and prolonging the service life of composite material...

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Main Authors: Lv Zhong, Shi Mengyan, Yuan Jing, Chen Depeng, Guo Minglei, Xiang Tengfei, Chen Huisu
Format: Article
Language:English
Published: De Gruyter 2023-06-01
Series:Science and Engineering of Composite Materials
Subjects:
Online Access:https://doi.org/10.1515/secm-2022-0207
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author Lv Zhong
Shi Mengyan
Yuan Jing
Chen Depeng
Guo Minglei
Xiang Tengfei
Chen Huisu
author_facet Lv Zhong
Shi Mengyan
Yuan Jing
Chen Depeng
Guo Minglei
Xiang Tengfei
Chen Huisu
author_sort Lv Zhong
collection DOAJ
description The micro-cracks in a material lead to a reduction in its overall strength and service life. The emerging capsule-based self-healing system provides a new strategy for repairing the cracks, effectively delaying the potential damage of the matrix, and prolonging the service life of composite materials. Determining the optimal size and dosage of microcapsules required to repair cracks in the matrix is essential for the development and design of capsule-based self-healing materials. This paper presents a novel two-dimensional capsule-based self-healing model composite material whose surface is paved by reproducible and random cells and some microcapsules are randomly dispersed in those cells to investigate the rupture behavior of microcapsules forced by growing cracks. An analytical model is proposed from the viewpoint of geometrical probability to express the probability characteristics of the embedded microcapsules stimulated by linear cracks in a two-dimensional capsule-based self-healing model composite. Additionally, the effect of the size and dosage of the embedded microcapsules on the intersection probability is analyzed, and the maximal probability is also found to improve the self-healing efficiency. Finally, the accuracies of these probability values and theoretical solutions are verified via computer simulation, and the results show that the developed model of the geometrical probability of the crack intersection with microcapsules randomly distributed in the cells of the matrix will help to provide a theoretical basis for the quantitative design of capsule-based self-healing materials.
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spelling doaj.art-b0c7077889024e5ca8afc583c5db26b22023-06-19T05:53:58ZengDe GruyterScience and Engineering of Composite Materials2191-03592023-06-01301354410.1515/secm-2022-0207A probability characteristic of crack intersecting with embedded microcapsules in capsule-based self-healing materialsLv Zhong0Shi Mengyan1Yuan Jing2Chen Depeng3Guo Minglei4Xiang Tengfei5Chen Huisu6School of Architectural and Civil Engineering, Anhui University of Technology, Ma’anshan243032, ChinaSchool of Architectural and Civil Engineering, Anhui University of Technology, Ma’anshan243032, ChinaSchool of Management Science and Engineering, Anhui University of Technology, Ma’anshan243032, ChinaSchool of Architectural and Civil Engineering, Anhui University of Technology, Ma’anshan243032, ChinaSchool of Architectural and Civil Engineering, Anhui University of Technology, Ma’anshan243032, ChinaSchool of Architectural and Civil Engineering, Anhui University of Technology, Ma’anshan243032, ChinaJiangsu Key Laboratory of Construction Materials, School of Materials Science and Engineering, Southeast University, Nanjing211189, ChinaThe micro-cracks in a material lead to a reduction in its overall strength and service life. The emerging capsule-based self-healing system provides a new strategy for repairing the cracks, effectively delaying the potential damage of the matrix, and prolonging the service life of composite materials. Determining the optimal size and dosage of microcapsules required to repair cracks in the matrix is essential for the development and design of capsule-based self-healing materials. This paper presents a novel two-dimensional capsule-based self-healing model composite material whose surface is paved by reproducible and random cells and some microcapsules are randomly dispersed in those cells to investigate the rupture behavior of microcapsules forced by growing cracks. An analytical model is proposed from the viewpoint of geometrical probability to express the probability characteristics of the embedded microcapsules stimulated by linear cracks in a two-dimensional capsule-based self-healing model composite. Additionally, the effect of the size and dosage of the embedded microcapsules on the intersection probability is analyzed, and the maximal probability is also found to improve the self-healing efficiency. Finally, the accuracies of these probability values and theoretical solutions are verified via computer simulation, and the results show that the developed model of the geometrical probability of the crack intersection with microcapsules randomly distributed in the cells of the matrix will help to provide a theoretical basis for the quantitative design of capsule-based self-healing materials.https://doi.org/10.1515/secm-2022-0207self-healingmicrocapsulesgeometric probabilitycrackmonte carlo simulation
spellingShingle Lv Zhong
Shi Mengyan
Yuan Jing
Chen Depeng
Guo Minglei
Xiang Tengfei
Chen Huisu
A probability characteristic of crack intersecting with embedded microcapsules in capsule-based self-healing materials
Science and Engineering of Composite Materials
self-healing
microcapsules
geometric probability
crack
monte carlo simulation
title A probability characteristic of crack intersecting with embedded microcapsules in capsule-based self-healing materials
title_full A probability characteristic of crack intersecting with embedded microcapsules in capsule-based self-healing materials
title_fullStr A probability characteristic of crack intersecting with embedded microcapsules in capsule-based self-healing materials
title_full_unstemmed A probability characteristic of crack intersecting with embedded microcapsules in capsule-based self-healing materials
title_short A probability characteristic of crack intersecting with embedded microcapsules in capsule-based self-healing materials
title_sort probability characteristic of crack intersecting with embedded microcapsules in capsule based self healing materials
topic self-healing
microcapsules
geometric probability
crack
monte carlo simulation
url https://doi.org/10.1515/secm-2022-0207
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