基于应变分解方法的钢筋混凝土开裂模型

CRACK MODEL OF REINFORCED CONCRETE BASED ON STRAIN DECOMPOSITION METHOD

  • 摘要: 为了克服传统弥散裂缝模型的不足,采用应变分解的方法,推导了钢筋混凝土单元的开裂模型;通过假定裂缝面法向和切向变形解耦,采用混凝土非线性断裂力学的基本理论分别构造裂缝面法向和切向的本构关系;对于混凝土单元中的钢筋,在开裂后不仅考虑其轴向刚度,同时采用弹性地基梁模型考虑其横向作用对开裂混凝土应力传递的影响;采用FORTRAN语言编制程序,通过与经典梁、板构件试验结果的比较,表明该模型的合理性和有效性;可用于钢筋混凝土结构非线性和极限承载力的分析。

     

    Abstract: This paper presents a crack model of reinforced concrete using a strain decomposition method to overcome the defect of a traditional smeared crack model. By the decoupling of normal and tangential strain of a crack plane, the constitution was constructed with nonlinear fracture mechanics respectively. Both the axial stiffness and the transverse stiffness were calculated in the reinforced concrete element after cracking. The transverse stiffness of a reinforcement bar was analyzed by the calculation model of an elastic grade beam. The proposed model was implemented in the nonlinear element analysis program with FORTRAN language. The rationality and validity of the model were assessed critically by comparing test results and numerical analysis of a classic reinforced concrete beam and a plane, and a good agreement was found. The proposed crack model can be employed in the nonlinear and the ultimate capacity analysis of reinforced concrete structures.

     

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