弹性地基上的4ENF试件柔度分析

COMPLIANCE ANALYSIS OF 4ENF SPECIMEN USING AN ELASTICALLY SUPPORTED BEAM

  • 摘要: 基于Timoshenko梁理论,考虑了剪切变形和裂纹尖端变形的影响,建立了双参数弹性地基上的II型加载末端切口四点弯曲试件(4-point bending end-notched flexure specimen,简称4ENF)的柔度和能量释放率模型(BEF)。4ENF柔度与裂纹长度成正比,柔度变化率、能量释放率与裂纹长度无关,因而4ENFII型断裂实验无需测量裂纹的扩展长度,根据临界荷载便可求得临界能量释放率,从而大大简化了实验手段。对FRP-木4ENF试件II型加载情况下的BEF模型、Timoshenko梁理论模型和有限元结果比较证明:BEF模型的4ENF柔度在裂纹扩展的一定范围内与有限元吻合很好;而Timoshenko梁理论模型的柔度小于有限元结果,精度较差。该模型可用于复合材料界面断裂分析、确定断裂参数以及作为断裂试验数据分析的依据。

     

    Abstract: A beam model supported on two-parameter elastic subgrade and concerning the effect of the crack tip deformation is developed to analyze the four-point bending end-notched flexure (4ENF) specimen for mode II fracture. Based on the model, a linear relationship between average compliance and crack length is obtained for the 4ENF specimen. The accuracy of this model and the linearity of the average compliance–crack length relationship are verified by finite element analysis through wood–FRP bonded interface specimen. Close correlations of average compliance and compliance rate change between the model and finite element analysis are achieved, indicating that the present model is accurate in predicting the compliance and its rate change. The results coming from both the method using the global model and corresponding finite element analysis show that the average compliance rate change of 4ENF beam is independent on crack length, and that the calculation of the critical strain energy release rate does not require measurement of crack length propagation. Thus the necessity of extensive experimental compliance test can be alleviated and the need for crack length measurement is eliminated.

     

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