基于扩展有限元法的钢筋混凝土梁复合断裂过程模拟研究

SIMULATION OF MIXED-MODE FRACTURE PROCESS OF REINFORCED CONCRETE BEAM BASED ON EXTENDED FINITE ELEMENT METHOD

  • 摘要: 针对钢筋混凝土梁裂纹扩展问题,基于扩展有限元法,建立了预置裂纹的简支混凝土梁三维模型,用粘聚裂纹模型描述裂纹面间的力学行为,采用线性的软化曲线表示裂纹尖端断裂过程区的应变软化行为,分别对素混凝土梁和钢筋混凝土梁的复合断裂过程进行模拟,分析了纵向钢筋对裂纹扩展路径、荷载-挠度和荷载 -CMOD (裂缝开口处张开位移)曲线的影响,并与文献中的试验结果进行对比,计算结果与试验结果吻合良好,展示了扩展有限元法在结构断裂破坏分析方面的独特优势。

     

    Abstract: To study the crack propagation of a reinforced concrete beam, a three-dimensional model of a simply supported concrete beam with an embedded crack was established. Based on the extended finite element method (XFEM), a cohesive crack model was used to describe the mechanical behavior of the crack surfaces. The stain softening behavior of a fracture process zone of the crack tip was represented by a linear softening curve. The mixed-mode fracture process of a plain concrete beam and reinforced concrete beam were simulated. The influences of longitudinal reinforcement on the crack propagation, load-deflection curve and load-CMOD (Crack Mouth Opening Displacement) curve were analyzed. The numerical simulation results show a good agreement with the experiment results. The advantage of XFEM for the structural analysis of fracture failure was presented.

     

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