2013
DOI: 10.1016/j.commatsci.2012.09.032
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Analytical models for determining the dosage of capsules embedded in self-healing materials

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Cited by 50 publications
(43 citation statements)
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“…Additionally, a theoretical solution for determining the dosage of healing capsules was developed based on the concept of integral geometry in which capsules are randomly dispersed in the matrix and discrete cracks with a finite size are independently created [191]. The geometric probability that a crack encounters one or more capsules randomly embedded within a two-dimensional surface and a three-dimensional matrix was also considered.…”
Section: Microcapsule Content Required For Self-healingmentioning
confidence: 99%
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“…Additionally, a theoretical solution for determining the dosage of healing capsules was developed based on the concept of integral geometry in which capsules are randomly dispersed in the matrix and discrete cracks with a finite size are independently created [191]. The geometric probability that a crack encounters one or more capsules randomly embedded within a two-dimensional surface and a three-dimensional matrix was also considered.…”
Section: Microcapsule Content Required For Self-healingmentioning
confidence: 99%
“…[191]. The volume fraction of capsules required in self-healing materials was estimated for regular crack patterns in which the spacing was assumed to be either excessively large or larger than that of the pre-embedded capsules.…”
Section: Microcapsule Content Required For Self-healingmentioning
confidence: 99%
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“…The mechanical properties of this interface have received less attention, and its properties have not been the main object of mechanical characterization. However, the current interest in this self-healing strategy is leading to an increase of theoretical and numerical works with the aim of getting a better understanding of its mechanisms and determining the key factors to improve efficiency and feasibility [8,[21][22][23][24][25][26][27]. These models assume either perfect bonding or a certain range of typical values of the interface properties, which are selected as a function of mechanical similarities given by composition or the degree of brittleness [28,29].…”
Section: A C C E P T E D Accepted Manuscriptmentioning
confidence: 99%
“…The authors also presented the hitting probability model of a crack intersecting with capsules when cracks randomly occurred and capsules with healing agent were disorderly dispersed in the matrix (93). These theoretical mo dels and analytical solutions were expected to quantitatively characterize the self-healing efficiency of unhydrated cement nuclei or dosage of healing agent required and to be facilitating the experimental research.…”
Section: Modelling and Simulation Contributing To Self-healingmentioning
confidence: 99%