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首页> 外文期刊>Journal of Engineering Mechanics >Analytical Solution of Interface Shear Stresses in Externally Bonded FRP-Strengthened Concrete Beams
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Analytical Solution of Interface Shear Stresses in Externally Bonded FRP-Strengthened Concrete Beams

机译：外部粘结FRP加固混凝土梁界面剪应力的解析解

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摘要

The fiber-reinforced polymer (FRP) plate or sheet debonding or cover delamination (concrete cover separation) failure mode in externally strengthened reinforced concrete beams has attracted a lot of attention. In this paper, a closed-form analytical solution is developed to determine the nonlinear shear stress distribution along the laminate interface and cover area for any load stage assuming a perfect bond. Trilinear moment-curvature and moment-extreme compression fiber strain is assumed to realize the analytical results. By differentiating the FRP axial tension force with respect to position along the beam, closed-form derivatives in terms of curvature and extreme compressive fiber strain are obtained. The results show three distinct regions of constant or stepwise linear shear distribution in each. These correspond to the uncracked, postcracked, and postyielded zones of the shear span. The results are shown to yield an exact match to those numerically obtained by dividing the shear spans into a large number of small segments and applying nonlinear sectional analysis in the middle of each segment. The analytical solution also compares well with the finite-element results using ABAQUS. The analysis of a number of strengthened beams at experimental debonding or cover delamination failure load show that the interface shear stress distribution varies from cases having no cracking at the plate tip (three regions) to those encountering two regions only (postcracked and postyielded) when the FRP plates or sheets extend close to the supports. It also shows that this distribution, at failure, consists of two regions in most of the cases and may only have a postcracked region in beams with relatively shorter plates or sheets.
机译：在外部加强的钢筋混凝土梁中，纤维增强聚合物（FRP）板或板的剥离或覆盖层分层（混凝土覆盖层分离）的破坏模式引起了广泛的关注。在本文中，开发了一种封闭形式的分析解决方案，用于确定在假定理想粘结的任何载荷阶段沿层压板界面和覆盖面积的非线性剪切应力分布。假定三线性矩曲率和矩矩压缩纤维应变来实现分析结果。通过区分FRP轴向拉力相对于沿梁的位置，可以获得曲率和极限压缩纤维应变方面的闭合形式导数。结果显示了三个不同的区域，每个区域具有恒定或逐步线性剪切分布。这些对应于剪切跨度的未破裂，后破裂和后屈服区域。结果表明，所得结果与通过将剪切跨度划分为大量小段并在每个段的中间应用非线性截面分析得出的数值精确匹配。该分析解决方案还与使用ABAQUS的有限元结果进行了很好的比较。对在实验脱粘或覆盖层剥离破坏载荷下的多个加强梁的分析表明，界面剪切应力分布从板尖端无裂纹的情况（三个区域）到仅遇到两个区域（后裂和后屈服）的情况有所不同。 FRP板或片材靠近支撑处延伸。它还表明，这种分布在破坏时在大多数情况下由两个区域组成，并且在板或板相对较短的梁中仅具有后裂纹区域。

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