2010
DOI: 10.1007/978-3-642-15274-0_25
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An Analytical Model for the Probability Characteristics of a Crack Hitting an Encapsulated Self-healing Agent in Concrete

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Cited by 13 publications
(5 citation statements)
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“…We assume that the insights from the complete healing of such a part of the crack using the content of one capsule are sufficient to predict the complete crack healing, because the average distance between neighboring capsules in most types of self-healing concrete is comparable with R (more exactly from 0.6R to 1.1R (Zemskov et al, 2010). Furthermore, a crack with a depth exceeding 4R hits more than one capsule with high probability (0.86 and higher depending on the type of concrete).…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…We assume that the insights from the complete healing of such a part of the crack using the content of one capsule are sufficient to predict the complete crack healing, because the average distance between neighboring capsules in most types of self-healing concrete is comparable with R (more exactly from 0.6R to 1.1R (Zemskov et al, 2010). Furthermore, a crack with a depth exceeding 4R hits more than one capsule with high probability (0.86 and higher depending on the type of concrete).…”
Section: Resultsmentioning
confidence: 99%
“…In general, the crack can be considered as healed in the neighborhood of the capsule of radius R if the part of the crack situated directly between the halves of the capsule (of length 2R) is entirely filled up by limestone and adjacent crack segments of length R from each side are filled up for at least 50%. We assume that the insights from the complete healing of such a part of the crack using the content of one capsule are sufficient to predict the complete crack healing, because the average distance between neighboring capsules in most types of self-healing concrete is comparable with R (more exactly from 0.6R to 1.1R (Zemskov et al, 2010). Furthermore, a crack with a depth exceeding 4R hits more than one capsule with high probability (0.86 and higher depending on the type of concrete).…”
Section: Resultsmentioning
confidence: 99%
“…Advantage of use of a porous carrier is that it forms, in comparison to regular aggregates, weak spots in the concrete matrix which attract forming cracks. The cracks that hit and split porous aggregate particles thus ensure effective release of embedded active healing agent compounds into the crack [18,19]. Disadvantage of use of porous carrier aggregates is that they significantly lower the compressive strength of the concrete [16,20].…”
Section: Development Of Bacteria-based Self-healing Agentmentioning
confidence: 99%
“…Compared to fineness of cement, water/cement ratio is the dominating factor for the self-healing capacity of concrete. Based on the concept of autonomous healing and elementary principles from probability theory, Zemskov and Jonkers (80,81) have recently developed analytical models for computation of the probability that a crack hits an encapsulated particle. The analytical models (random placement mode of capsules in a Figure 5.…”
Section: Modelling and Simulation Contributing To Self-healingmentioning
confidence: 99%