Mathematical models to predict the critical conditions for bacterial self-healing of concrete

Authors:
Serguey V. Zemskov;Henk M. Jonkers;Fred J. Vermolen
Affiliations:
Delft University of Technology, Delft, The Netherlands;Delft University of Technology, Delft, The Netherlands;Delft University of Technology, Delft, The Netherlands
Venue:
MMCP'11 Proceedings of the 2011 international conference on Mathematical Modeling and Computational Science
Year:
2011

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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.