Abstract
The present study is performed in the framework of the investigation of the potential of bacteria to act as a catalyst of the self-healing process in concrete, i.e. their ability to repair occurring cracks autonomously. Spherical clay capsules containing the healing agent (calcium lactate) are embedded in the concrete structure. Water entering a freshly formed crack releases the healing agent and activates the bacteria which will seal the crack through the process of metabolically mediated calcium carbonate precipitation. In the paper, an analytic formalism is developed for the computation of the probability that a crack hits an encapsulated particle, i.e. the probability that the self-healing process starts. Most computations are performed in closed algebraic form in the computer algebra system Mathematica which allows to perform the last step of calculations numerically with a higher accuracy.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Jonkers, H.M., Thijssen, A., Muyzer, G., Copuroglu, O., Schlangen, E.: Application of Bacteria as Self-Healing Agent for the Development of Sustainable Concrete. Ecological Engineering 36(2), 230–235 (2010)
Mookhoek, S.D., Fischer, H.R., Zwaag, S.v.d.: A Numerical Study into the Effects of Elongated Capsules on the Healing Efficiency of Liquid-Based Systems. Computational Materials Science 47(2), 506–511 (2009)
Rényi, A.: Wahrscheinlichkeitsrechnung, 2. Aufl., Berlin (1966)
Toohey, K.S., Sottos, N.R., Lewis, J.A., Moor, J.S., White, S.R.: Self-Healing Materials with Microvascular Networks. Nature Materials 6, 581–585 (2007)
White, S.R., Sottos, N.R., Geubelle, P.H., Moore, J.S., Kessler, M.R., Sriram, S.R., Brown, E.N., Viswanathan, S.: Autonomic Healing of Polymer Composites. Nature 409, 794–797 (2001)
Williams, G., Trask, R., Bond, I.: A Self-Healing Carbon Fibre Reinforced Polymer for Aerospace Applications. Composites Part A: Applied Science and Manufacturing 38(6), 1525–1532 (2007)
Wilson, G.O., Moore, J.S., White, S.R., Sottos, N.R., Andersson, H.M.: Autonomic Healing of Epoxy Vinyl Esters via Ring Opening Metathesis Polymerization. Advanced Functional Materials 18(1), 44–52 (2008)
Wolfram, S.: The Mathematica Book, 5th edn. Wolfram Media, Inc. (2003)
Yin, T., Rong, M.Z., Zhang, M.Q., Yang, G.C.: Self-Healing Epoxy Composites — Preparation and Effect of the Healant Consisting of Microencapsulated Epoxy and Latent Curing Agent. Composites Science and Technology 67, 201–212 (2007)
Zwaag, S.v.d.: Self Healing Materials: An Alternative Approach to 20 Centuries of Materials Science. Springer Series in Materials Science, vol. 100 (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zemskov, S.V., Jonkers, H.M., Vermolen, F.J. (2010). An Analytical Model for the Probability Characteristics of a Crack Hitting an Encapsulated Self-healing Agent in Concrete. In: Gerdt, V.P., Koepf, W., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2010. Lecture Notes in Computer Science, vol 6244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15274-0_25
Download citation
DOI: https://doi.org/10.1007/978-3-642-15274-0_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15273-3
Online ISBN: 978-3-642-15274-0
eBook Packages: Computer ScienceComputer Science (R0)