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Weight function determinations for shear cracks in reinforced concrete beams based on finite element method

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Title: Weight function determinations for shear cracks in reinforced concrete beams based on finite element method
Authors: Deng, Pengru Browse this author
Matsumoto, Takashi Browse this author →KAKEN DB
Keywords: Shear crack
Reinforced concrete beam
Fracture mechanics
Weight function
Virtual crack extension technique
Issue Date: 15-May-2017
Publisher: Elsevier
Journal Title: Engineering Fracture Mechanics
Volume: 177
Start Page: 61
End Page: 78
Publisher DOI: 10.1016/j.engfracmech.2017.03.046
Abstract: An efficient approach of evaluating the weight functions for the generally load applied faces of shear cracked RC beams with varying shear span/beam depth ratios is presented using the corresponding weight functions for the RC beams with two shear span/beam depth ratios. The shear cracked RC beam under applied load can be considered as an oblique edge crack elastic geometry under mixed load conditions if the nonlinear bridging force is evaluated according to a crack bridging model separately. With pure bend load conditions, both Mode I and II weight functions for the oblique edge crack geometries with three shear span/beam depth ratios for different crack length/beam depth ratios are evaluated through applying the Virtual Crack Extension technique with symmetric mesh around the crack-tip into finite element analysis, where all weigh function components exhibit orderly trends with respect to the changing shear span/beam depth. As a result, the weight functions for the shear crack RC beams with the other shear span/beam depth ratios can be calculated following the orderly trends. Since the crack-tip singular behaviors of fracture problems is observed only in the primary crack-face nodal weight functions, to facilitate application, the primary crack-face weight functions are formulated accurately as a function of crack length and distance away from the crack-tip employing the fitting and interpolation methods.
Rights: © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Type: article (author version)
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 松本 高志

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