扩展有限元法及其在钢筋混凝土结构中的应用综述

简述扩展有限元法的基本思想和应用价值,以钢筋混凝土的裂纹问题(强不连续问题)为例对扩展有限元法中描述裂纹的水平集法、不连续位移场富集策略、积分方案进行了介绍,并给出相关领域近年来的研究成果。概述扩展有限元法在断裂力学领域中的应用动态。在此基础上,分别从混凝土开裂和钢筋与混凝土两种材料的黏结滑移两个方面介绍扩展有限元法在钢筋混凝土结构开裂分析中的研究与应用进展,指出为将该方法应用于水工钢筋混凝土结构等规模巨大、配筋和受力复杂的实际工程中,需对单元模型、裂缝处理方式以及裂缝处钢筋应力等问题进行深入研究。

Review of extended finite element method and its application in reinforced concrete structures

The basic theory and application value of extended finite element method(XFEM) are introduced briefly. The level set method for describing crack, the enrichment strategy of discontinuous displacement field, and the integration scheme of XFEM are presented with an example of crack problem(strong discontinuity) of reinforced concrete(RC), and recent achievements in these fields are exposed. Thereby, a summary of the situation of applications of XFEM in fracture machanics is given. On the basis of the foregoing, the research and application development of XFEM for the analysis of reinforced concrete structure crack are presented from two aspects: concrete cracking, and bond-slip between reinforcement and concrete. It is pointed out that element models, crack treatment, steel stress at crack section and other issues have to be further investigated in order to meet the requirements of characteristics of practical projects(e.g., hydraulic reinforced concrete structures), such as large scale, complex reinforcement, and multi-axial force state.