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本文对基本条件进行了分析,导得了粘结应力-局部滑移相互关系的二阶微分方程和六个边界条件,这些方程即为探索粘结状态内在规律的基本方程,但按目前的研究途径求解是很困难的.根据数学关系的相似性,文中提出了虚设的悬臂梁分析模型,则任一点局部滑移、裂缝宽度、钢筋与混凝土的应变差、相邻裂缝间的钢筋总伸长与混凝土总伸长、钢筋平均应变、钢筋应变不均匀系数以及粘结状态钢筋的刚度等重要变量的表达式均可以简便地导得.建议的方法可用于裂缝、变形、粘结性能和有限元法的分析.
In this paper, the basic conditions are analyzed, and the second-order differential equations and six boundary conditions are obtained for the relationship between bond stress and local slip. These equations are the basic equations for exploring the inherent laws of the bond state, but according to the current research methods. The solution is very difficult. According to the similarity of the mathematical relationship, a dummy cantilever analysis model is proposed in this paper. The local slip at any point, the crack width, the strain difference between steel and concrete, and the total elongation between adjacent cracks The expressions of important variables such as the total elongation of concrete, the mean strain of steel bars, the non-uniform coefficient of steel bars, and the stiffness of bonded steel bars can be easily derived. The proposed method can be used for cracks, deformation, bonding properties and finite element method. Analysis.