基于原拱圈和加固层共同工作、协调变形原理，以复合主拱圈加固圬工拱桥的拱段为研究对象，推导出适合有限元分析的混凝土与砌体理想弹塑性本构关系。对加固后的拱段应用推导的本构关系，采用有限元软件ANSYS建立了数值分析模型，并对该本构关系进行实验校核。结果表明，采用混凝土与砌体理想弹塑性本构关系，有限元数值和实测数值非常接近，有限元极限承载力数值比实测极限承载力数值小6.8%～9.2%；建立的混凝土和砌体的理想弹塑性本构关系在复合主拱圈加固圬工拱桥时可靠性较高，可供同类桥梁结构分析应用。
The arch segment of masonry arch bridge strengthened by composite main arch circle method is researched based on the theory that original arch and reinforcing layer can work together and coordination deformation. An ideal elastic-plastic constitutive relation of concrete and masonry that can be applied to finite element analysis is deduced. This ideal elastic-plastic constitutive relation is applied to reinforced arch segment, numerical model is established by finite element software ANSYS and is checked by test. The result show that the finite element numerical adopted this ideal elastic-plastic constitutive relation of concrete and masonry is close to measured value, ultimate bearing capacity of the finite element numerical reduced by 6.8%—9.2% compared to measured value. The results show that an ideal elastic-plastic constitutive relation of concrete and masonry is reliable when masonry arch is strengthened by composite main arch circle method, this method can be applicable in the analysis of the same kind of bridge structures.
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