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An improved closed-form solution to interfacial stresses in plated beams using a two-stage approach

Yang, J and Ye, JQ (2010) An improved closed-form solution to interfacial stresses in plated beams using a two-stage approach. International Journal of Mechanical Sciences, 52 (1). 13 - 30 . ISSN 0020-7403

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Shear stress and normal stress in the thickness direction at interfaces (referred to as interfacial shear and transverse normal stresses, respectively, hereafter) have played a significant role in understanding the premature debonding failure of beams strengthened by bonding steel/composite plates at their tension surfaces. Due to the occurrence of dissimilar materials and the abrupt change of cross-section, the stress distribution at plate ends becomes singular and is hence considerably complicated. Extensive experimental and analytical analyses have been undertaken to investigate this problem. Large discrepancies have been found from various studies, particularly from experimental results due to the well-acknowledged difficulty in measuring interfacial stresses. Numerical analyses, e.g. 2-D or 3-D finite-element analysis (FEA), may predict accurate results, but they demand laborious work on meshing and sensitivity analysis. Analytical solutions, in particular those in a closed form, are more desirable by engineering practitioners, as they can be readily incorporated into design equations. This paper reports an improved closed-form solution to interfacial stresses in plated beams using a two-stage approach. In this solution beams and bonded plates, can be further divided into a number of sub-layers to facilitate the inclusion of steel bars or multiple laminae. Thermal effects may also be considered by using equivalent mechanical loads, i.e. equivalent axial loads and end moments. Numerical examples are presented to show interfacial stresses in concrete or cast iron beams bonded with steel or FRP plates under mechanical and/or thermal loads. The effect of including steel reinforcements with various ratios in the RC beam on interfacial stresses is also investigated. Compared with previously published analytical results, this one improves the accuracy of predicting the transverse normal stresses in both adhesive-beam and plate-adhesive interfaces and the solution is in a closed form.

Item Type: Article
Copyright, Publisher and Additional Information: © 2010 Elsevier B.V. This is an author produced version of a paper subsequently published in International Journal of Mechanical Sciences. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: FRP, Reinforced concrete beams, Strengthening, Interfacial stresses, Debonding failure, Thermal-mechanical loads, Reinforced-Concrete Beams, FRP Plate, RC Beams, Design
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Civil Engineering (Leeds) > Institute for Resilient Infrastructure (Leeds)
Depositing User: Miss Elizabeth Winning
Date Deposited: 19 May 2011 12:50
Last Modified: 15 Sep 2014 03:59
Published Version: http://dx.doi.org/10.1016/j.ijmecsci.2009.09.041
Status: Published
Publisher: Elsevier B.V.
Refereed: Yes
Identification Number: 10.1016/j.ijmecsci.2009.09.041
URI: http://eprints.whiterose.ac.uk/id/eprint/42989

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