Abstract
The objective of this paper is to study analytically the transition phenomenon between a large single curvilinear crack and diagnoal multiple cracks observed during the shear-off failure sequence of concrete shear key joints. Based on the principle of the conservation of strain energy, well-known elastic solutions are applied to analyze the principal strain distribution along the shear key base after a large single curvilinear crack propagation. The analytical prediction is compared with the principal strain distribution obtained by the smeared crack FEM analysis. The analytical model is found in relatively good agreement with FEM analysis, indicating that the nonlinear strain localization at the cracking transition could be quantified in a simple manner to a certain extent. In addition, it is analytically clarified that the cracking transition is induced by the change of the boundary condition.
Résumé
L'objectif de cet article est l'étude analytique du phénomène transitoire entre une grande et unique fissure curviligne et de multiples fissures diagonales observées pendant la séquence de la défaillance détachée du béton clé d'écart. Conformément au principe de conservation de l'énergie de déformation, les solutions bien connues sont appliquées pour analyser la distribution des déformations le long de la base de la clé après la propagation d'une large fissure curviligne. La prévision analytique est comparée avec la distribution de la déformation principale obtenue par l'analyse FEM. Le modèle se trouve en corrélation satisfaisante avec l'analyse FEM. Ceci indique que la localisation non linéaire des déformations, dans la phase de fissuration, pourrait être quantifiée de façon simple, jusqu'à un certain point.
De plus, il est montré de façon analytique que la phase de fissuration est affectée par un changement des conditions aux limites.
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Editorial Note Prof. H. Mihashi is a RILEM Senior Member and a Member of the Board of Advisers. He participates in the work of RILEM Technical Committees TC 129-MHT (Tests methods for mechanical properties of concrete at high temperatures), TC IDC (Internal damage of concrete due to frost action) and TC QFS (Size effect and scaling of quasibrittle fracture).
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Kaneko, Y., Mihashi, H. Analytical study on the cracking transition of concrete shear key. Mat. Struct. 32, 196–202 (1999). https://doi.org/10.1007/BF02481515
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DOI: https://doi.org/10.1007/BF02481515