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Mathematical Models to Predict the Critical Conditions for Bacterial Self-healing of Concrete

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7125)

Abstract

Two mathematical models for bacterial self-healing of a crack are considered. The study is embedded within the framework of investigating the potential of bacteria to act as a catalyst of the self-healing process in concrete, that is the ability of concrete to repair occurring cracks autonomously. The first model concerns an analytic formalism to compute the probability that a crack hits an encapsulated particle. Hence, it predicts the probability that the self-healing process starts. The second model of the self-healing process is based on a moving boundary problem. A Galerkin finite-element method is used to solve the diffusion equations. The moving boundaries are tracked using a level set method.

Keywords

  • Mathematical modeling
  • Moving boundary problem
  • Self-healing

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Zemskov, S.V., Jonkers, H.M., Vermolen, F.J. (2012). Mathematical Models to Predict the Critical Conditions for Bacterial Self-healing of Concrete. In: Adam, G., Buša, J., Hnatič, M. (eds) Mathematical Modeling and Computational Science. MMCP 2011. Lecture Notes in Computer Science, vol 7125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28212-6_9

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  • DOI: https://doi.org/10.1007/978-3-642-28212-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28211-9

  • Online ISBN: 978-3-642-28212-6

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