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Efficient finite element modelling of timber beams strengthened with bonded fibre reinforced polymers

机译：粘结纤维增强聚合物增强木梁的有效有限元建模

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摘要

This paper presents development and application of a simple and efficient frame finite element (FE) able to estimate the load-carrying capacity of timber beams flexurally strengthened with externally bonded fibre reinforced polymer (FRP) strips and near-surface mounted FRP bars. The developed element is able to model collapse due to timber crushing under compression, timber fracture under tension and FRP rupture and it is developed in the framework of a flexibility-based fibre element formulation. Furthermore, a novel method based on central difference method in conjunction with composite Simpson's integration scheme along the element axis is developed to take account of shear-slip. The developed model is employed to predict the loading capacity and the applied load-mid span deflection response of timber beams strengthened with FRP and the numerically simulated responses agree well with the corresponding experimental results. The major features of this frame FE are its simplicity and efficiency compared with more complex and computationally expensive FEs which makes it a suitable tool for practical use in design-oriented parametric studies.
机译：本文介绍了一种简单有效的框架有限元（FE）的开发和应用，该框架有限元（FE）能够估算用外部粘结的纤维增强聚合物（FRP）条和近表面安装的FRP筋挠曲加固的木梁的承载能力。所开发的元件能够对由于压缩而压碎的木材，在张力作用下的木材断裂和FRP破裂造成的塌陷进行建模，并且是在基于柔韧性的纤维元件配方的框架内开发的。此外，考虑到剪切滑移，提出了一种基于中心差分法并结合复合辛普森沿单元轴的积分方案的新方法。利用该模型对玻璃纤维布加固的木梁的承载能力和所施加的荷载-跨度挠度响应进行了预测，数值模拟结果与相应的实验结果吻合良好。与更复杂且计算成本较高的有限元相比，该框架有限元的主要特征是其简单性和效率，这使其成为在面向设计的参数研究中实际使用的合适工具。

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