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Influence of debonding on the efficiency of crack patching
Authors:L R F Rose
Institution:1. Department of River Ecology and Conservation, Senckenberg Research Institute and Natural History Museum Frankfurt, Gelnhausen, Germany;2. Department Aquatic Ecotoxicology, Institute of Ecology, Evolution and Diversity, Goethe University, Frankfurt am Main, Germany;3. Chromgruen Planungs, und Beratungs, GmbH & Co.KG, Velbert, Germany;4. Umweltbüro essen Bolle und Partner GbR, Essen, Germany;1. Inorganic Chemistry and Catalysis, Debye Institute for Nanomaterials Science, Utrecht University, Universiteitsweg 99, Utrecht, the Netherlands;2. Laboratory of Inorganic Materials Chemistry, Department of Chemical Engineering and Chemistry, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, the Netherlands;1. Laboratório de Tecnologia Biomolecular, Instituto de Ciências Biológicas, Universidade Federal do Pará—UFPA, Belém, PA, Brazil;2. Instituto de Biociências, UNESP—Universidade Estadual Paulista, Campus de Botucatu, Departamento de Parasitologia, Distrito de Ribeirão Junior, Botucatu, São Paulo, Brazil;3. Centro de Inovações Tecnológicas, Instituto Evandro Chagas, Levilândia, Ananindeua, PA, Brazil
Abstract:A simplified analysis of crack patching is presented in which the restraining effect of the external bonded reinforcement on the crack opening is simulated by distributed springs acting between the crack faces. It is suggested that elastic-perfectly plastic springs provide an adequate idealization for the case where debonding can occur. The analysis is thereby reduced to the solution of a one-dimensional integral equation involving only two material parameters: a spring constant k and a limit stress σL, both of which can be determined from the behaviour of a suitable overlap joint. The efficiency of the reinforcement is shown to be determined by the normalized crack length ka and the normalized stress σ/σL, so that a comprehensive characterization can be obtained from relatively little computation or experimental study.
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